Add to ORKGSince the celebrated Knaster-Kuratowski-Mazurkiewicz theorem (simply KKM theorem) appeared in 1929, a large number of its generalizations and modifications followed. Many of them are stated using the so-called weak topology. In the present article, we show that such KKM type theorems are consequences of one of our previous KKM theorems for abstract convex spaces. We also add some examples of papers adopting weak topologies
[[abstract]]Let K be a weakly compact convex subset of a Banach space X. One version of the Markov-K...
AbstractIn this paper, we first establish a fixed point theorem for a k-set contraction map on the f...
In the last two decades, we introduced the admissible multimap class mathfrak{A}{c}^{primevarsigma},...
This is to introduce the contents of two articles of Granas and Lassonde [2, 3] on applications of s...
A KKM space is an abstract convex space satisfying the KKM principle. We obtain variants of the KKM ...
AbstractIn this paper KKM theorem, Ky Fan's matching theorems, minimax inequalities, and coincidence...
AbstractRecently, we introduced a new concept of a generalized convex space. In this paper, from a c...
International audienceIf one adds one extra assumption to the classical Knaster– Kuratowski–Mazurkie...
AbstractWe present in this paper a generalized version of the celebrated Knaster–Kuratowski–Mazurkie...
AbstractIn this paper, a new KKM theorem is established in L-convex spaces. As applications, a Ky Fa...
Abstract. From a general form of the celebrated Knaster–Kuratowski–Mazurkiewicz (simply, KKM) theore...
AbstractThe Knaster–Kuratowski–Mazurkiewicz covering theorem (KKM), is the basic ingredient in the p...
AbstractIn this work, some new generalized R-KKM type theorems for generalized R-KKM mappings with c...
AbstractIn an abstract convex space (E,D;Γ), we show that the partial KKM principle is equivalent to...
AbstractIn this paper, we introduce generalized R-KKM mapping and discuss some new generalized R-KKM...
[[abstract]]Let K be a weakly compact convex subset of a Banach space X. One version of the Markov-K...
AbstractIn this paper, we first establish a fixed point theorem for a k-set contraction map on the f...
In the last two decades, we introduced the admissible multimap class mathfrak{A}{c}^{primevarsigma},...
This is to introduce the contents of two articles of Granas and Lassonde [2, 3] on applications of s...
A KKM space is an abstract convex space satisfying the KKM principle. We obtain variants of the KKM ...
AbstractIn this paper KKM theorem, Ky Fan's matching theorems, minimax inequalities, and coincidence...
AbstractRecently, we introduced a new concept of a generalized convex space. In this paper, from a c...
International audienceIf one adds one extra assumption to the classical Knaster– Kuratowski–Mazurkie...
AbstractWe present in this paper a generalized version of the celebrated Knaster–Kuratowski–Mazurkie...
AbstractIn this paper, a new KKM theorem is established in L-convex spaces. As applications, a Ky Fa...
Abstract. From a general form of the celebrated Knaster–Kuratowski–Mazurkiewicz (simply, KKM) theore...
AbstractThe Knaster–Kuratowski–Mazurkiewicz covering theorem (KKM), is the basic ingredient in the p...
AbstractIn this work, some new generalized R-KKM type theorems for generalized R-KKM mappings with c...
AbstractIn an abstract convex space (E,D;Γ), we show that the partial KKM principle is equivalent to...
AbstractIn this paper, we introduce generalized R-KKM mapping and discuss some new generalized R-KKM...
[[abstract]]Let K be a weakly compact convex subset of a Banach space X. One version of the Markov-K...
AbstractIn this paper, we first establish a fixed point theorem for a k-set contraction map on the f...
In the last two decades, we introduced the admissible multimap class mathfrak{A}{c}^{primevarsigma},...