Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings

被引：1

作者：

Kilicman, Adem ^{[1
,2
]}

Ahmad, Rais ^{[3
]}

Rahaman, Mijanur ^{[3
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Serdang 43400, Malaysia

[2] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

VARIATIONAL-INEQUALITIES; THEOREM;

D O I：

10.1155/2014/497846

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a strong mixed vector equilibrium problem in topological vector spaces. Using generalized Fan-Browder fixed point theorem (Takahashi 1976) and generalized pseudomonotonicity for multivalued mappings, we provide some existence results for strong mixed vector equilibrium problem without using KKM-Fan theorem. The results in this paper generalize, improve, extend, and unify some existence results in the literature. Some special cases are discussed and an example is constructed.

引用

页数：6

共 16 条

[1]

Ahmad R., 2013, OPSEARCH

[2]

Balaj M, 2005, ARCH MATH-BRNO, V41, P399

[3]

Berge C., 1963, Topological Spaces, Including a Treatment of Multi -Valued Functions Vector Spaces and Convexity

[4]

Blum E., 1994, Math. Stud., V63, P127

[5] FIXED POINT THEORY OF MULTI-VALUED MAPPINGS IN TOPOLOGICAL VECTOR SPACES [J].

BROWDER, FE .

MATHEMATISCHE ANNALEN, 1968, 177 (04) :283-&

[6] A coincidence theorem involving contractible spaces [J].

Ding, XP .

APPLIED MATHEMATICS LETTERS, 1997, 10 (03) :53-56

[7] MINIMAX THEOREMS [J].

FAN, K .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1953, 39 (01) :42-47

[8] Strong vector variational inequalities in Banach spaces [J].

Fang, YP ;

Huang, NJ .

APPLIED MATHEMATICS LETTERS, 2006, 19 (04) :362-368

[9]

Giannessi F, 2000, NONCONVEX OPTIM, V38, P153

[10] Strong vector equilibrium problems [J].

Gong, Xunhua .

JOURNAL OF GLOBAL OPTIMIZATION, 2006, 36 (03) :339-349

← 1 2 →