논문KCI 등재
ON GENERALIZED VECTOR QUASI-VARIATIONAL TYPE INEQUALITIES
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we consider and study a new class of generalized vector quasi-variational type inequalities and obtain some existence theorems for both under compact and noncompact assumptions in topological vector spaces without using monotonicity. For the noncompact case, we use the concept of escaping sequences.
Abstract
In this paper, we consider and study a new class of generalized vector quasi-variational type inequalities and obtain some existence theorems for both under compact and noncompact assumptions in topological vector spaces without using monotonicity. For the noncompact case, we use the concept of escaping sequences.
참고문헌 (25)
- J. P. Aubin, "Mathematical Methods of Game and Economic Theory" (1979), North Holland
- C. Baiocchi, "Variational and Quasivariational Inequalities, Applications to Free Boundary Problems" (1984), John Wiley
- A. Bensoussan, "Nouvelle formulation des problemes de controle implu-sionnel et applications", Comp. Rend. de L'Acad. des Sci. Paris, 276, pp.1189~1192 (1973)
- K. C. Border, "Fix Point Theorems with Applications to Economics and Game Theory" (1985), Cambridge University Press
- S. S. Chang, "The existence theorems of solutions for generalized vector variational like inequalities", Comput. Math. Appl., 37, pp.1~9 (1999)
- G. Y. Chen, "Existence of solutions for a vector variational inequality, an expulsion of the Hartman-Stampacchia theorem", J. Optim. Theory Appl., 74, pp.445~456 (1992)
- G. Y. Chen, "Vector variational inequality and vector optimization problem", Lecture Notes in Econ. and Math. System, 285, pp.408~416 (1987), Springer-Verlag
- X. P. Ding, "Equilibria of noncompact generalized game with L-majorized preferences", J. Math. Anal. Appl., 164, pp.508~517 (1992)
- X. P. Ding, "Equilibria of generalized games with L-majorized correspondences", Internat. J. Math. Math. Sci., 17, pp.783~790 (1994)
- X. P. Ding, "Generalized variational like inequalities with pseudomonotone set-valued mappings", Arch. Math., 74, pp.302~313 (2000)
- F. Giannessi, "Theorems of Alternative, Quadratic Programs and Complementarity Prob-lems" (1980), John Wiley and Sons
- F. Giannessi, "Vector Variational Inequalities and Vector Equilibria Mathematical The-ories" (2000), Kluwer Academic Publishers
- P. Hartman, "On some nonlinear elliptic dierential function equa-tions", Acta Math., 115, pp.271~310 (1966)
- W. K. Kim, "On generalized vector quasi-variational inequalities", Opti-mization, 46, pp.185~198 (1999)
- I. V. Konnov, "On the generalized vector variational inequality problem", J. Math. Anal. Appl., 206, pp.42~58 (1997)
- B. S. Lee, "Generalized vector variational like inequalities in locally convex Hausdor topological vector spaces", Indian J. Pure Appl. Math., 28, pp.33~41 (1997)
- D. T. Luc, "Theory of Vector Optimization, Lecture Notes in Economics and Mathemat-ical Systems 319" (1989), Springer-Verlag
- S. K. Mishra, "Vector variational-like inequalities and nonsmooth vector optimization problems", Nonlinear Analysis, 64, pp.1939~1945 (2006)
- J. Panda, "A variational like inequality problem", Bull. Aust. Math. Soc., 39, pp.225~231 (1989)
- J. W. Peng, "Generalized vector quasivariational-like inequalities", J Ineq. Appl., 59, pp.1~11 (2006)
- L. B. dos Santos, "Some relations between variational-like inequality problems and vari-ational optimization problem in Banach Spaces", Comp. Math. Appl., 55(8), pp.1808~1814 (2008)
- H. M. Shih, "Generalized quasi-variational inequalities in locally convex topological vector spaces", J. Math. Anal. Appl., 108, pp.333~343 (1985)
- Y. B. Xiao, "Generalized quasi-variational-like hemivariational inequal- ities", Nonlinear Analysis, 36 (2007)
- S. J. Yu, "On vector variational inequalities", J. Optim. Theory Appl., 89, pp.769~799 (1996)
- X. Z. Yuan, "The study of minimax inequalities, abstract economics and applications to variational inequalities and Nash equilibria", Acta Appl. Math., 54, pp.135~166 (1998)
이 간행물의 다른 논문 (10건)
SOMEWHAT FUZZY ALMOST α-IRRESOLUTE FUNCTIONSG. Thangaraj, G. Balasubramanian, V. Seenivasanpp. 1-8A LARGE-UPDATE INTERIOR POINT ALGORITHM FOR P*(k) LCP BASED ON A NEW KERNEL FUNCTION조경미, 조유영pp. 9-23A HYBRID ITERATIVE METHOD OF SOLUTION FOR MIXED EQUILIBRIUM AND OPTIMIZATION PROBLEMSLijuan Zhang, Junmin Chenpp. 25-38COMMON FIXED POINTS AND INVARIANT APPROXIMATIONS FOR SUBCOMPATIBLE MAPPINGS IN CONVEX METRIC SPACEHemant Kumar Nashine, 김종규pp. 39-47STRONG CONVERGENCE OF EXTENDED GENERAL VARIATIONAL INEQUALITIES AND NONEXPANSIVE MAPPINGSZhen He, Jun-Min Chen, Li-Juan Zhangpp. 59-67
