On a class of new KKM theorem with applications

1996 ◽  
Vol 17 (9) ◽  
pp. 819-826
Author(s):  
Zhang Shisheng ◽  
Zhang Xian
Keyword(s):  
Kkm Theorem

scholarly journals Generalized KKM theorem and variational inequalities

1991 ◽  
Vol 159 (1) ◽  
pp. 208-223 ◽  
Author(s):  
Shih-sen Chang ◽  
Ying Zhang
Keyword(s):  
Variational Inequalities ◽  
Kkm Theorem

scholarly journals On D-KKM theorem and its applications

2003 ◽  
Vol 67 (1) ◽  
pp. 67-77 ◽  
Author(s):  
H. K. Pathak ◽  
M. S. Khan
Keyword(s):  
Variational Inequalities ◽  
Existence Results ◽  
Kkm Theorem ◽  
Maximal Elements ◽  
New Class ◽  
Kkm Mappings ◽  
Set Valued Mappings ◽  
Convex Setting

In this paper, we introduce a new class of set-valued mappings in a non-convex setting called D-KKM mappings and prove a general D-KKM theorem. This extends and improves the KKM theorem for several families of set-valued mappings, such as (X, Y), C(X, Y), C (X, Y), C (X, Y) and C (X, Y). In the sequel, we apply our theorem to get some existence results for maximal elements, generalised variational inequalities, and price equilibria.

Function and colorful extensions of the KKM theorem

2020 ◽  
pp. 1
Author(s):  
Władysław Kulpa ◽  
Andrzej Szymański ◽  
Marian Turzański
Keyword(s):  
Kkm Theorem

scholarly journals KKM theorem with applications to lower and upper bounds equilibrium problem inG-convex spaces

2003 ◽  
Vol 2003 (51) ◽  
pp. 3267-3276 ◽  
Author(s):  
M. Fakhar ◽  
J. Zafarani
Keyword(s):  
Equilibrium Problem ◽  
Upper Bounds ◽  
Lower And Upper Bounds ◽  
Kkm Theorem ◽  
Convex Spaces

We give some new versions of KKM theorem for generalized convex spaces. As an application, we answer a question posed by Isac et al. (1999) for the lower and upper bounds equilibrium problem.

scholarly journals A general vector-valued variational inequality and its fuzzy extension

1998 ◽  
Vol 21 (4) ◽  
pp. 637-642 ◽  
Author(s):  
Sehie Park ◽  
Byung-Soo Lee ◽  
Gue Myung Lee
Keyword(s):  
Variational Inequality ◽  
Existence Theorem ◽  
Kkm Theorem ◽  
Vector Valued ◽  
General Vector

A general vector-valued variational inequality (GVVI) is considered. We establish the existence theorem for (GVVI) in the noncompact setting, which is a noncompact generalization of the existence theorem for (GVVI) obtained by Lee et al., by using the generalized form of KKM theorem due to Park. Moreover, we obtain the fuzzy extension of our existence theorem.

scholarly journals ON AN R-E-KKM THEOREM AND ITS APPLICATIONS

2014 ◽  
Vol 27 (1) ◽  
pp. 105-112
Author(s):  
Won Kyu Kim
Keyword(s):  
Kkm Theorem

scholarly journals Vector Variational Inequalities In G-Convex Spaces

2021 ◽  
Vol 53 ◽  
Author(s):  
Maryam Salehnejad ◽  
Mahdi Azhini
Keyword(s):  
Fixed Point ◽  
Variational Inequality ◽  
Fixed Point Theorem ◽  
Variational Inequalities ◽  
Point Theorem ◽  
Vector Variational Inequality ◽  
Vector Variational Inequalities ◽  
Kkm Theorem ◽  
Convex Spaces

Inthispaper,westudysomeexistencetheoremsofsolutionsforvectorvariational inequality by using the generalized KKM theorem. Also, we investigate the properties of so- lution set of the Minty vector variational inequality in G–convex spaces. Finally, we prove the equivalence between a Browder fixed point theorem type and the vector variational in- equality in G-convex spaces.

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