Minimax theorems for scalar set-valued map**s with nonconvex domains and applications

Y Zhang, SJ Li - Journal of Global Optimization, 2013 - Springer
In this paper, by virtue of the separation theorem of convex sets, we prove a minimax
theorem, a cone saddle point theorem and a Ky Fan minimax theorem for a scalar set …

Generalized strongly vector equilibrium problem for set-valued map**s

R Ahmad, M Rahaman - Filomat, 2014 - JSTOR
In this paper, we introduce and study a generalized strongly vector equilibrium problem for
set-valued map**s in real Banach spaces. Using Minty type lemma and KKM-Fan theorem …

Existence of solutions for generalized vector quasi-equilibrium problems in abstract convex spaces with applications

W Zhang, S Shan, N Huang - Fixed Point Theory and Applications, 2015 - Springer
In this paper, several kinds of generalized vector quasi-equilibrium problems are introduced
and studied in abstract convex spaces. Using the properties of Γ-convex and KC KC-maps …

Minimax problems for set-valued map**s with set optimization

Y Zhang, T Chen - Numerical Algebra, Control and Optimization, 2014 - aimsciences.org
In this paper, we introduce a class of set-valued map**s with some set order relations,
which is called uniformly same-order. For this sort of map**s, we obtain some existence …

[PDF][PDF] Minimax problems of uniformly same-order set-valued map**s

Y Zhang, S Li - Bulletin of the Korean Mathematical Society, 2013 - researchgate.net
In this paper, a class of set-valued map**s is introduced, which is called uniformly same-
order. For this sort of map**s, some minimax problems, in which the minimization and the …

FROM KKM CLASS TO KC CLASS OF MULTIMAPS.

S Park - Journal of Nonlinear Analysis & Optimization …, 2022 - search.ebscohost.com
This is to give a short history of our multimap classes K, KC, KO in the KKM theory. We show
that many authors adopted or imitated the inadequate definition of the KKM class due to …

[PDF][PDF] Existence of solutions for generalized symmetric vector quasi-equilibrium problems in abstract convex spaces with application

W Zhanga, W Yana - emis.de
In this paper, we introduce and study a class of generalized symmetric vector quasi-
equilibrium problems in abstract convex spaces. By virtue of the properties of Γ-convex and …

[PDF][PDF] Existence of solutions for generalized symmetric vector quasi-equilibrium problems in abstract convex spaces with applications

WB Zhang, WY Yan - Journal of Nonlinear Sciences & Applications (JNSA), 2016 - emis.de
In this paper, we introduce and study a class of generalized symmetric vector quasi-
equilibrium problems in abstract convex spaces. By virtue of the properties of Γ-convex and …

Existence Theorems of ε‐Cone Saddle Points for Vector‐Valued Map**s

T Chen - Abstract and Applied Analysis, 2014 - Wiley Online Library
Existence Theorems of ε‐Cone Saddle Points for Vector‐Valued Map**s Page 1 Research
Article Existence Theorems of 𝜀-Cone Saddle Points for Vector-Valued Map**s Tao Chen …

[PDF][PDF] Necessary and Sufficient Conditions for Fixed-Point Theorems, Minimax Inequalities and Related Theorems

G Tian - people.tamu.edu
This paper provides necessary and sufficient conditions for fixed-point theorems, minimax
inequalities and some related theorems defined on arbitrary topological spaces that may be …