A Collectively Fixed Point Theorem in Abstract Convex Spaces and Its Applications

被引：1

作者：

Lu, Haishu ^{[1
]}

Hu, Qingwen ^{[2
]}

机构：

[1] Jiangsu Univ Technol, Sch Business, Changzhou 213001, Jiangsu, Peoples R China

[2] Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2013年

关键词：

EQUILIBRIUM PROBLEMS; EXISTENCE THEOREMS; GENERALIZED GAMES; MINIMAX THEOREMS; MAXIMAL ELEMENTS; VALUED MAPPINGS; INEQUALITY; ECONOMIES;

D O I：

10.1155/2013/517469

中图分类号：

学科分类号：

摘要：

The main purpose of this paper is to establish a new collectively fixed point theorem in noncompact abstract convex spaces. As applications of this theorem, we obtain some new existence theorems of equilibria for generalized abstract economies in noncompact abstract convex spaces.

引用

页数：10

共 50 条

[21] A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in H-spaces
Ji-cheng Hou
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2003, 19 (3): : 425 - 430
[22] Fixed point theorems for better admissible multimaps on Abstract convex spaces
LIU Xue-wen ZHANG Yue TAN Ren-xin School of Mathematics and Computer Science
[J]. Applied Mathematics:A Journal of Chinese Universities, 2010, (01) : 55 - 62
[23] Fixed point theorems for better admissible multimaps on Abstract convex spaces
LIU Xuewen ZHANG Yue TAN Renxin School of Mathematics and Computer Science Chongqing Normal University Chongqing China
[J]. Applied Mathematics:A Journal of Chinese Universities(Series B)., 2010, 25 (01) - 62
[24] Comments on collectively fixed points in generalized convex spaces
Park, S
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (04) : 431 - 437
[25] Fixed point theorems for better admissible multimaps on abstract convex spaces
Liu Xue-wen
Zhang Yue
Tan Ren-xin
[J]. Applied Mathematics-A Journal of Chinese Universities, 2010, 25 : 55 - 62
[26] Fixed point theorems for better admissible multimaps on abstract convex spaces
Liu Xue-wen
Zhang Yue
Tan Ren-xin
[J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (01) : 55 - 62
[27] A UNIFIED APPROACH TO COLLECTIVELY MAXIMAL ELEMENTS IN ABSTRACT CONVEX SPACES
Park, Sehie
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (07) : 1377 - 1398
[28] ON A FIXED POINT THEOREM IN 2-BANACH SPACES AND SOME OF ITS APPLICATIONS
Brzdek, Janusz
Cieplinski, Krzysztof
[J]. ACTA MATHEMATICA SCIENTIA, 2018, 38 (02) : 377 - 390
[29] ON A FIXED POINT THEOREM IN 2-BANACH SPACES AND SOME OF ITS APPLICATIONS
Janusz BRZDEK
Krzysztof CIEPLINSKI
[J]. Acta Mathematica Scientia, 2018, (02) : 377 - 390
[30] A Schauder fixed point theorem in semilinear spaces and applications
Agarwal, Ravi P.
Arshad, Sadia
O'Regan, Donal
Lupulescu, Vasile
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,

← 1 2 3 4 5 →