Dan Butnariu's Publications:
Research Monographs
D. BUTNARIU and E. P. KLEMENT: Triangular Norm Based Measures and Games With Fuzzy Coalitions, Kluwer Academic Publishers, Boston, Dordrecht, London, 1993.
D. BUTNARIU and A. N. IUSEM: Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization, Kluwer Academic Publishers, Boston, Dordrecht, London, 2000.
Edited Book
Articles in Refereed Publications
L-Fuzzy Topologies, Bull. Math. de la Soc. des Sc. Mathèmatiques de la R. S. R., 19(67), (1975), 227-236.
L-Fuzzy Games and Their Minimax Theorem (Romanian), St. Cerc. Matem. , vol. 28, no. 2, (1976), 141-160.
(L,L')-Fuzzy Topological Spaces, Analele Stiintifice ale Universitatii ''Al. I. Cuza''-Iasi , vol. 23, no. 1, (1977), 9-16.
L-Fuzzy Automata - A Neural Model, in: ''Modern Trends in Cybernetics and Systems'', vol. 2, pp. 119-125, J. Rose and C. Bilciu (Eds.), Springer Verlag , Berlin-Heidelberg-New York, 1977.
Three Persons Fuzzy Games (Romanian), St. Cerc. Matem. , vol. 29, no. 2, (1978), 99-102.
Fuzzy Games: A Description of the Concept, Fuzzy Sets and Systems , 1, (1978), 181-192.
Equilibrium Points for Two-Persons Fuzzy Games, Stud. Cerc. Matem. , vol. 30, no. 2, (1978), 123-133.
An Existence Theorem for Possible Solutions of Two-Persons Fuzzy Games, Bull. Math. de la Soc. des Sc. Math. de la R. S. R. , 23(71), no. 1, (1979), 29-35.
Solution Concepts For N-Persons Fuzzy Games, in: ''Advances in Fuzzy Set Theory and Applications'', pp. 339-354, M.M. Gupta, R Ragade and R. Yager (Eds.), North-Holland , Amsterdam, 1979.
Two-Dimensional Concepts Of Nucleolus and Kernel, in: Proc. of the Third Nat. Conf. of Oper. Res., pp. 30-34, I. Marusciac and W. Brechner (Eds.), Babes-Bolyai University Press , Cluj-Napoca, 1979.
The C-Nucleolus of a N-Persons Game, in: ''Papers Delivered at the Jubiliar Scientific Session of the Polytechnic Institute of Iasi'', pp. 98-104, I.P.I . Iasi, 1979. (Abstract in Notices of the Amer. Math. Soc., August, 1979).
A Fixed Point Theorem and its Application to Fuzzy Games, Rev. Roumaine des Math. Pures et Appliquées, vol. 24, no. 10, (1979), 1425-1432.
Stability and Shapley Value for N-Persons Fuzzy Games, Fuzzy Sets and Systems , 4, (1980), 63-72.
Models of Fuzzy Games I. (Romanian), Stud. Cerc. Mat ., vol. 32, no. 1, (1980), 45-54.
Models of Fuzzy Games II. (Romanian), Stud. Cerc. Mat . , vol. 32, no. 1, (1980), 55-63.
Models of Fuzzy Games III. (Romanian), Stud. Cerc. Mat. , vol. 32, no. 2, (1980), 153-166.
The Continuity of the Additive Fuzzy-Set Functions, in: ''Papers Presented at the Nat. Conf. of General Topology'', pp. 8-10, University of Iasi , 1981.
Fixed Points for Fuzzy Mappings, Fuzzy Sets and Systems, 7, (1982), 191-207.
Additive Fuzzy Measures and Integrals I, J. Mathematical Analysis and Applications , vol. 93, 2, (1983), 436-452.
Decompositions and Range of Additive Fuzzy Measures , Fuzzy Sets and Systems , 10, (1983), 135-155.
Computing Fixed Points For Fuzzy Mappings, in: "Trans. of the Ninth Prague Conf. on Information Theory and Decision Processes", pp. 165-171, M. Mares (Ed.), Reidel-Dordrecht Publ. Co ., Boston, Massachusetts, 1983.
Non-Atomic Fuzzy Measures and Games, Fuzzy Sets and Systems , 17, (1985), 39-52.
Fuzzy Measurability And Integrability, J. Mathematical Analysis and Applications , vol. 117, no. 2, (1986), 385-41 (Additive Fuzzy Measures and Integrals II).
On Some Recent Results on Fuzzy Games: An Informal Research Summary, Fuzzy Sets and Systems (Bulletin) , 19, No. 3, (1986), 182-185.
A Note On the Measurability of Fuzzy Mappings, in: ''Developments of the Theory of Fuzzy Sets'', pp. 48-55, W. Bandler and A. Kandel (Eds.), New Orleans University Press , 1986.
Values and Cores of Fuzzy Games with Infinitely Many Players, Int. J. of Game Theory , 16, No. 1, (1987), 43-68.
Additive Fuzzy Measures And Integrals III , J. Mathematical Analysis and Applications , 125, (1987), 288-303.
Autonomous Evolutive Systems With Ambiguous States, in: Knowledge-Based Systems in Decision and Control, pp. 229-246, M. M. Gupta and T. Yamakawa (Eds.), Elsevier Science Publishers, North-Holland, Amsterdam, New York, Tokyo, 1988.
Measurability Concepts for Fuzzy Mappings, Fuzzy Sets and Systems , 31, (1989), 77-82.
A Fuzzy Game Theoretical Approach of the Rate Problem for Services in Bulk, in: ''Interface Between Artificial Intelligence and Operation Research'', pp. 35-51, J. Verdegay and L. Delgado (Eds.), Verlag TTV-Rheinland , Köln, 1989.
D. BUTNARIU and Y. CENSOR: On the Behavior of a Block-Iterative Method for Solving Convex Feasibility Problems, Int. J. Computer Mathematics , 34, (1990), 79-94.
D. BUTNARIU and E. ROVENTA: On a Class of Neural Automata, in: Proceedings of the 3-rd NAFIPS Conference, vol. 2, pp. 307-311, I. B. Turksen (Ed.), University of Toronto , 1990.
D. BUTNARIU and Y. CENSOR: A Method of Approximating The Solution Set of a System of Convex Inequalities by Polytopes, J. Computational and Applied Mathematics , 36, (1991), 289-304.
D. BUTNARIU and E. P. KLEMENT: Triangular Norm Based Measures And Their Markov Kernel Representation, J. Mathematical Analysis and Applications , Vol. 162, No. 1, (1991), 111-143.
A Note On the Weighted Shapley Value, Libertas Mathematica , 11, (1991), 1-7.
D. BUTNARIU and E. P. KLEMENT: Triangular Norm Based Measures and Some Applications to Measure and Game Theory, Fuzzy Systems and Artificial Intelligence , Vol. 1, No. 1, (1992), 5-23. Reprinted in: ''Fuzzy Approach of Reasoning and Decision Making'', V. Novak, J. Ramik, M. Cerny and J. Nekola, (Eds.), Kluwer Academic Publishers, Dordrecht, 1992, pp. 89-105.
D. BUTNARIU and A. MEHREZ: On a class of generalized gradient methods for solving locally Lipschitz feasibility problems, in: P. Kall (Ed.), ''System Modelling and Optimization'', pp. 282-291, Proc. of the 15-th IFIP Conference, Zurich, Switzerland, 1991, Lecture Notes in Control and Information Sciences #180, Springer Verlag , 1992.
D. BUTNARIU and E. ROVENTA: A Measure Theoretical Approach of the Problem of Computing Production Costs, Fuzzy Sets and Systems , 48, (1992), 305-321.
D. BUTNARIU and A. MEHREZ: Convergence Criteria for Generalized Gradient Methods of Solving Locally Lipschitz Feasibility Problems, Computational Optimization and Applications , 1, (1992), 307-326.
D. BUTNARIU and Y. CENSOR: Strong Convergence of Almost Simultaneous Block-Iterative Projection Methods in Hilbert Spaces, J. Computational and Applied Mathematics , 53, (1994), 33-42.
D. BUTNARIU, E. P. KLEMENT and S. ZAFRANI: On Triangular-Norm Based Propositional Fuzzy Logics, Fuzzy Sets and Systems, 69, (1995), 241-255.
D. BUTNARIU and S. D. FLAM: Strong Convergence of Expected-Projection Methods in Hilbert Spaces, Numerical Functional Analysis and Optimization , 16, (1995), 601-637.
The Expected-Projection Method: Its Behavior and Applications to Linear Operator Equations and Convex Optimization, Journal of Applied Analysis , Vol. 1, No. 1, (1995), 95-108.
D. BUTNARIU and E. P. KLEMENT: Core, Value and Equilibria for Market Games: On a Problem of Aumann and Shapley, Int. J. of Game Theory , Vol. 25, 2, (1996), 149-160.
D. BUTNARIU, Y. CENSOR and S. REICH: Iterative Averaging of Entropic Projections for Solving Stochastic Convex Feasibility Problems, Computational Optimization and Applications , 8, (1997), 21-39.
Y. ALBER and D. BUTNARIU: Convergence of Bregman-Projection Methods for Solving Convex Feasibility Problems in Reflexive Banach Spaces, Journal of Optimization Theory and Applications , Vol. 92, 1, (1997), 33-61.
D. BUTNARIU and A. IUSEM: Local Moduli of Convexity and Their Application to Finding Almost Common Fixed Points of Measurable Families of Operators, Contemporary Mathematics , Vol. 204, (1997), pp. 61-92. (This volume was edited by Y. Censor and S. Reich under the title ''Recent Developments in Optimization Theory and Nonlinear Analysis'').
Methods of Solving Optimization Problems in the Space of Fuzzy Vectors, Libertas Mathematica , Vol. XVII, (1997), pp. 1-7.
D. BUTNARIU and A. IUSEM: On a proximal point method for convex optimization in Banach spaces, Numerical Functional Analysis and Optimization , 18, No. 7-8, 1997, pp. 723-744.
D. BUTNARIU, A. IUSEM, C. ISNARD: A Mixed Holder and Minkowski Inequality, Proceedings of the American Mathematical Society , 127, No. 8, 1999, pp. 2405-2415.
D. BUTNARIU, S. REICH, A. ZASLAVSKI: Generic power convergence of operators in Banach spaces, Numerical Functional Analysis and Optimization, 20, 1999, pp. 629-650.
D. BUTNARIU, A. IUSEM and R. BURACICK: Iterative Methods for Solving Stochastic Convex Feasibility Problems and Applications, Computational Optimization and Applications , 15, 2000, pp. 269-307.
D. BUTNARIU and E. P. KLEMENT: Measures on Triangular-Norm based Tribes: Properties and Integral Representation, in: M. Grabisch, T. Murofushi and M. Sugeno (Eds.), ''Fuzzy Measures and Integrals'', pp. 233-246, Physica-Verlag , Heidelberg, 2000.
D. BUTNARIU, A.N. IUSEM and E. RESMERITA: Total convexity of the powers of the norm in uniformly convex Banach spaces, Journal of Convex Analysis , Vol. 7, No. 2, 2000, 319-334.
ALBER, Y., BUTNARIU, D. and RYAZANTSEVA, I.: Regularization methods for ill-posed inclusions and variational inequalities with domain perturbations, Journal of Convex and Nonlinear Analysis, Vol. 2, No. 1, 2001, 53-79.
D. BUTNARIU and E. RESMERITA: The outer Bregman projection method for solving stochastic convex feasibility problems in Banach spaces, in: D. Butnariu, Y. Censor and S. Reich (eds.), pp.69-86, ''Inherently Parallel Algorithm in Feasibility and Optimization and their Applications'', Elsevier, Amsterdam, 2001.
D. BUTNARIU, S. REICH and A.J. ZASLAVSKI: Asymptotic behavior of quasi-nonexpansive mappings , in: D. Butnariu, Y. Censor and S. Reich (eds.), ''Inherently Parallel Algorithms in Feasibility and Optimization and their Applications'', pp. 49-68, Elsevier, Amsterdam, 2001.
D. BUTNARIU, S. REICH and A. ZASLAVSKI: Asymptotic behavior of relatively nonexpansive mappings, Journal of Applied Analysis, Vol. 7, No. 2, 2001, 151-174.
D. BUTNARIU and E.P. KLEMENT: Triangular norm based measures, in: E. Pap (Ed.), ''Handbook of Measure Theory'', Elsevier, Amsterdam , 2002, pp. 51.
D. BUTNARIU, S. REICH and A.J. ZASLAVSKI: Generic power convergence of nonlinear operators in Banach spaces, Proceedings of the 7-th International Conference of Nonlinear Functional Analysis and Applications, South Korea, August 2001, 35 - 56.
D. BUTNARIU, C. BYRNE and Y. CENSOR: Redundant axioms in the definition of Bregman functions, Journal of Convex Analysis, 10, 1, 2003, 245 - 254.
D. BUTNARIU, A.N. IUSEM and C. ZALINESCU: Uniform convexity, total convexity and the convergence of the outer Bregman projection and proximal point algorithms in Banach spaces, Journal of Convex Analysis, 10, 1, 2003, 35 - 61.
D. BUTNARIU and E. RESMERITA: Averaged subgradient methods for optimization and Nash equilibria computation , Optimization, 51(6), 2002, 863-888.
D. BUTNARIU and I. MARKOWICZ: Convergence of a Cimmino type method for computing almost common fixed points of totally nonexpansive families of operators, Seminar on Fixed Point Theory, 3, 2002, 149-156.
D. BUTNARIU: Questions whose answers we do not know, in: I.A. Rus, A. Petrusel and G. Petrusel (Eds.), "Fixed Point Theory: 1950-2000", pp. 124-128, House of the Book of Science , Cluj-Napoca, 2002.
Y. ALBER, D. BUTNARIU and G. KASSAY: Convergence and stability of a regularization method for maximal monotone inclusions and its applications to optimization, in: F. Giannessi and A. Maugeri (Eds.), "Variational Analysis and Applications", Springer, 2005, pp. 89-132.
D. BUTNARIU, S. REICH and A. ZASLAVSKY: Weak convergence of orbits of nonlinear operators in reflexive Banach spaces, Numerical Functional Analysis and Optimization. Vol. 24, Nos. 5 & 6, pp. 489-508, 2003
Y. ALBER, D. BUTNARIU and I. RYAZANTSEVA: Regularization of monotone variational inequalities with Mosco approximations of the constraint sets , Set-Valued Analysis 13 (2005), pp 265-290.
D. BUTNARIU, E.P. KLEMENT, R. MESIAR and M. NAVARA: Sufficient triangular norms in many-valued logics with standard negation. , Arch. Math. Logic 44, 2005, pp 829 - 849; electronic version: DOI 10.1007/s00153-004-0267-6.
Y. ALBER, D. BUTNARIU and I. RYAZANTSEVA: Regularization and resolution of monotone variational inequalities with operators given by hypomonotone approximations , Journal of Nonlinear and Convex Analysis, Volume 6, Number 1, 2005, 23-53.
D. BUTNARIU and E. RESMERITA: Bregman distances, totally convex functions and a method for solving operator equations in Banach spaces, Abstract and Applied Analysis, Volume 2006 (2006), Article ID 84919, pages 1-39 .
D. BUTNARIU, S. REICH and A. ZASLAVSKY: There are many totally convex functions, J. of Convex Analysis, Volume 13 (2006), No 3+4, 623-632.
D. BUTNARIU, S. REICH and A. ZASLAVSKY: Asymptotic behavior of inexact orbits for a class of operators in complete metric spaces, Journal of Applied Analysis, Volume 13, 1 (2007), 1-11.
D. BUTNARIU, S. REICH and A. ZASLAVSKY: Convergence to fixed points of inexact orbits for Bregman-monotone operators and for nonexpansive operatots in Banach spaces , In: Fixed Point Theory and its Applications, H. Fetter Natansky et al.(eds), Yokohama Publishers 2006, pp. 11-33.
D. BUTNARIU and E. RESMERITA: Mosco stability of proximal mappings in reflexive Banach spaces , Journal of Nonlinear and Convex Analysis, 8, 1 (2007), 1-10.
D. BUTNARIU and T. KROUPA: Shapley mappings and the cumulative value for n-person games with fuzzy coalitions , European Journal of Operational Research 186 (2008) 288-299 .
D. BUTNARIU and B.Z. SCHLYAR: Existence and approximation of solutions for Fredholm equations of the first kind with applications to a linear moment problem, Optimization Methods and Software, Vol. 23, No 1 (2008), 21-37.
D. BUTNARIU, R. DAVIDI, G.T. HERMAN and I. G. KAZANTSEV: Stable convergence behavior under summable purturbations of a class of projection methods for convex feasibility and optimization problems, IEEE Journal of Selected Topics in Signal Processing, Vol 1, NO. 4 2007.
D. BUTNARIU, E. RESMERITA, and S. SABACH: A Mosco stability theorem for generalised proximal mapping , to appear 2008.
D. BUTNARIU, Y. CENSOR, P. GURFIL and E. HADAR: On the behavior of subgradient projection methods for convex feasibility problems , to appear in SIAM Journal on Optimization 2008.
D. BUTNARIU and G. KASSAY: A proximal-projection method for finding zeros of set-valued operators, preprint 2007.