Add to ORKGThis paper provides necessary and sufficient conditions for fixed-point theorems, minimax inequalities and some related theorems defined on arbitrary topological spaces that may be discrete, continuum, non-compact or non-convex. We establish a single condition, γ-recursive transfer lower semicontinuity, which fully characterizes the existence of equilibrium of minimax inequality without imposing any kind of convexity nor any restriction on topological space. The result then is employed to fully characterize fixed point theory, saddle point theory, and the FKKM theory
The object of this paper is to provide a unified treatment for the study of the existence of equilib...
This paper characterizes the existence of equilibria in minimax inequalities without assuming any fo...
AbstractBy applying the existence theorem of maximal elements, some new collectively fixed-point the...
This paper provides necessary and sufficient conditions for fixed-point theorems, minimax inequalit...
minimax inequality, saddle points, fixed points, coincidence points, discontinuity, non-quasiconcavi...
Ky Fan’s minimax inequality [8, Theorem 1] has become a versatile tool in nonlinear and convex analy...
The purpose of this note is to give further generalizations of the Ky Fan minimax inequality by rela...
A new fixed point theorem is established under the setting of a generalized finitely continuous topo...
summary:In this paper fixed point theorems for maps with nonempty convex values and having the local...
summary:In this paper fixed point theorems for maps with nonempty convex values and having the local...
This paper extends the well-known KKM theorem and variational inequalities by relaxing the closednes...
This paper extends the well-known KKM theorem and variational inequalities by relaxing the closednes...
AbstractIn an abstract convex space (E,D;Γ), we show that the partial KKM principle is equivalent to...
AbstractIn this paper, we found a new result by relaxing the condition of [1, Theorem 3]. As its dir...
AbstractThis paper generalizes the Fan-Knaster-Kuratowski-Mazurkiewicz (FKKM) theorem of Ky Fan (“Ga...
The object of this paper is to provide a unified treatment for the study of the existence of equilib...
This paper characterizes the existence of equilibria in minimax inequalities without assuming any fo...
AbstractBy applying the existence theorem of maximal elements, some new collectively fixed-point the...
This paper provides necessary and sufficient conditions for fixed-point theorems, minimax inequalit...
minimax inequality, saddle points, fixed points, coincidence points, discontinuity, non-quasiconcavi...
Ky Fan’s minimax inequality [8, Theorem 1] has become a versatile tool in nonlinear and convex analy...
The purpose of this note is to give further generalizations of the Ky Fan minimax inequality by rela...
A new fixed point theorem is established under the setting of a generalized finitely continuous topo...
summary:In this paper fixed point theorems for maps with nonempty convex values and having the local...
summary:In this paper fixed point theorems for maps with nonempty convex values and having the local...
This paper extends the well-known KKM theorem and variational inequalities by relaxing the closednes...
This paper extends the well-known KKM theorem and variational inequalities by relaxing the closednes...
AbstractIn an abstract convex space (E,D;Γ), we show that the partial KKM principle is equivalent to...
AbstractIn this paper, we found a new result by relaxing the condition of [1, Theorem 3]. As its dir...
AbstractThis paper generalizes the Fan-Knaster-Kuratowski-Mazurkiewicz (FKKM) theorem of Ky Fan (“Ga...
The object of this paper is to provide a unified treatment for the study of the existence of equilib...
This paper characterizes the existence of equilibria in minimax inequalities without assuming any fo...
AbstractBy applying the existence theorem of maximal elements, some new collectively fixed-point the...