MAXIMAL ELEMENTS FOR GB-MAJORIZED MAPPINGS IN PRODUCT G-CONVEX SPACES AND APPLICATIONS (Ⅱ)

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (9): 1017-1024.

MAXIMAL ELEMENTS FOR G_B-MAJORIZED MAPPINGS IN PRODUCT G-CONVEX SPACES AND APPLICATIONS (Ⅱ)

丁协平

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China

收稿日期:2002-03-19 修回日期:2003-02-19 出版日期:2003-09-18 发布日期:2003-09-18
基金资助:
the Predict Research Foundation of National Defence (51443030103QT0601);the Doctoral Point Fund of the Shanghai Education Commission

MAXIMAL ELEMENTS FOR G_B-MAJORIZED MAPPINGS IN PRODUCT G-CONVEX SPACES AND APPLICATIONS (Ⅱ)

DING Xie-ping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China

Received:2002-03-19 Revised:2003-02-19 Online:2003-09-18 Published:2003-09-18
Supported by:
the Predict Research Foundation of National Defence (51443030103QT0601);the Doctoral Point Fund of the Shanghai Education Commission

摘要/Abstract

摘要： By applying existence theorems of maximal elements for a family of G B-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces. These theorems improve and generalize many important known results in literature.

中图分类号:

丁协平. MAXIMAL ELEMENTS FOR G_B-MAJORIZED MAPPINGS IN PRODUCT G-CONVEX SPACES AND APPLICATIONS (Ⅱ)[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(9): 1017-1024.

DING Xie-ping . MAXIMAL ELEMENTS FOR G_B-MAJORIZED MAPPINGS IN PRODUCT G-CONVEX SPACES AND APPLICATIONS (Ⅱ)[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(9): 1017-1024.

参考文献

[1] DING Xie-ping. Maximal elements for GB-majorized mappings in product GB-convex spaces and applications (Ⅰ) [J]. Applied Mathematics and Mechanics (English Edition) 2003, 24 (6):659 -672.
[2] Deguire P, Tan K K, Yuan X Z. The study of maximal elements, fixed points for Ls-majorized mappings and their applications to minimax and variational inequalities in product topological spaces[J]. Nonlinear Anal, 1999, 37(8):933-951.
[3] Deguire P, Lassonde M. Familles sélectantes[J]. Topol Methods Nonlinear Anal, 1995, 5:261 -269.
[4] eguire P. Brewder-Fan fixed point theorem and relatd results[J]. Discuss Math Differential Incl, 1995, 15:149-162.
[5] Ben-E1-Mechaiekh H, Deguire P, Granas A. Points fixes et coincidences pour les applications multivoques(applications de Ky Fan) [J]. C R Acad Sci Paris, 1982, 295:337-340.
[6] Ben-El-Mechaiekh H, Deguire P, Granas A. Points fixes et coincidences pour les applications multivoques (applications de φand φ*) [J]. C R Acad Sci Paris, 1982, 295:381-384.
[7] Lassonde M. On the use of KKM multifunctions in fixed point theory and related topics [J]. J Math Anal Appl, 1983, 97:151-201.
[8] Lassdone M. Fixed point for Kakutani factorizable multifunctions[J]. J Math Anal Appl, 1990, 152:46-60.
[9] Tarafdar E. A fixed points theorem and equilibrium points of abstract economics [J]. J Math Econom, 1991, 20(2):211-218.
[10] Tarafdar E. Fixed point theorems in H-spaces and equilibrium points of abstract econonfics[J]. J Austral Math Soc, Ser A, 1992, 53:252-260.
[11] DING Xie-ping, Taraf dar E. Some coincidence theorems and applications [J]. Bull Austral Math Soc, 1994, 50:73-80.
[12] DING Xie-ping, Tarafdar E. Fixed point theorem and existence of equilibrium points of noncompact abstract economics[J]. Nonlinear World, 1994, 1:319-340.
[13] DING Xie-ping. New H-KKM theorems and their applications to geometric property, coincidence theorems, minimax inequality and maximal elements[J]. Indian J Pure Appl Math, 1995, 26(1):1-19.
[14] DING Xie-ping. Fixed points, minimax inequalities and equilibria of noncompact abstract economics[J]. Taiwanese J Math, 1998, 2(1):25-55.
[15] Fan Ky. A minimax inequality and applications[A]. In:Shisha O Ed. Inequality Ⅲ [C]. New York:Academic Press, 1972.
[16] Fan Ky. Sone properties of convex sets related to fixed point theorems[J]. Math Ann, 1984, 266:519-537.

MAXIMAL ELEMENTS FOR G_B-MAJORIZED MAPPINGS IN PRODUCT G-CONVEX SPACES AND APPLICATIONS (Ⅱ)

MAXIMAL ELEMENTS FOR G_B-MAJORIZED MAPPINGS IN PRODUCT G-CONVEX SPACES AND APPLICATIONS (Ⅱ)

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

编辑推荐

Metrics

本文评价

[1]	邓磊;臧小燕. FC_空间中的参数型KKM定理及其应用[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(1): 73-79 .
[2]	丁协平;林炎诚;姚任之. PREDICTOR-CORRECTOR ALGORITHMS FOR SOLVING GENERALIZED MIXED IMPLICIT QUASI-EQUILIBRIUM PROBLEMS[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(9): 1157-1164 .
[3]	宋长明. NONEXISTENCE OF GLOBAL SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATION WITH MATERIAL DAMPING[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(7): 975-981 .
[4]	丁协平. SYSTEM OF COINCIDENCE THEOREMS IN PRODUCT TOPOLOGICAL SPACES AND APPLICATIONS (Ⅰ)[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(12): 1547-1555 .
[5]	丁协平. SYSTEM OF COINCIDENCE THEOREMS IN PRODUCT TOPOLOGICAL SPACES AND APPLICATIONS (Ⅱ)[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(12): 1556-1563 .