Fixed point theorems in H-spaces and equilibrium points of abstract economies

Tarafdar, E.

doi:10.1017/s1446788700035825

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction3

Preliminaries1

Proof By Theorem 22 Of [28] There Exists a Continuous Sel1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1996

2007

Publication Types

Select...

Article8

Relationship

Self Cite0

Independent8

Authors

Journals

Cited by 74 publications

(34 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…of solutions for GQVI 1.1 , under some more general conditions, using a new kind of fixed point approach. Our results presented in this paper w x contain the main results of 6᎐8, 13,16,18,19 as their special cases.…”

Section: Introductionmentioning

confidence: 79%

On the Generalized Quasi-variational Inequality Problems

Chang

Lee

Wang

et al. 1996

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 79%

On the Generalized Quasi-variational Inequality Problems

Chang

Lee

Wang

et al. 1996

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

show abstract

“…Remark 1.1 Lemma 2.1 generalizes Lemma 1 of Tarafdar [6] and Lemma 2.1 of Tan and Zhang [9] from H-space and G-convex space to F C-space.…”

Section: Preliminariesmentioning

confidence: 85%

Maximal elements and generalized games involving condensing mappings in locally FC-uniform spaces and applications (I)

Ding

2007

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally F C-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings is proved in locally F C-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings are established in locally F C-uniform spaces. These results improve and generalize some known results in literature to locally F C-uniform spaces. Some further applications of our results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper.

show abstract

“…By Corollary 2.3 in [28], there exists a pointū ∈ X such that u ∈ S(ū), i.e. sup w∈T (ū) ϕ(ū, w,ū) < 0.…”

Section: Proof By Theorem 22 Of [28] There Exists a Continuous Selmentioning

confidence: 97%

On Minimax Inequality and Generalized Quasi–Variational Inequality in H-Spaces

Wang

Zhang

1999

Journal of Applied Analysis

View full text Add to dashboard Cite

Abstract. In this paper, we give a new minimax theorem and two new existence theorems of solutions for generalized quasi-variational inequalities in H-spaces. Our results improve and develop some famous results. PreliminariesIn this paper, our subject is to establish a Sion type minimax theorem and two existence theorems of solutions for generalized quasi-variational inequalities. Our results improve and develop some famous results. In order to establish our main results, we first give some concepts and notations.To begin with we explain the notion of a H-space and some related notions.Let X be a topological space and F(X) the family of all nonempty finite subsets of X. Let Γ A be a family of nonempty contractible subsets of1991 Mathematics Subject Classification. 47H04, 47H10, 49J35, 52A99, 58E35.

show abstract

Fixed point theorems in H-spaces and equilibrium points of abstract economies

Abstract: Some fixed point theorems on H-spaces are presented. These theorems are then applied to generalize a theorem of Fan concerning sets with convex sections to H-spaces and to prove the existence of equilibrium points of abstract economies in which the commodity space is an H-space.

Cited by 74 publications

References 11 publications

On the Generalized Quasi-variational Inequality Problems

On the Generalized Quasi-variational Inequality Problems

Maximal elements and generalized games involving condensing mappings in locally FC-uniform spaces and applications (I)

On Minimax Inequality and Generalized Quasi–Variational Inequality in H-Spaces

Contact Info

Product

Resources

About