In hyperconvex metric spaces, we first present a coincidence point theorem for condensing
set-valued self-maps. Then we consider the best approximation problem and the best …

Suppose X is a closed, convex and geodesically bounded subset of a complete R-tree M,
and suppose F: X⊸ M is an almost lower semicontinuous set-valued map whose values are …

Suppose X is a compact admissible subset of a hyperconvex metric spaces M, and suppose
F: X⊸ M is a quasi-lower semicontinuous set-valued map whose values are nonempty …

In this review, we introduce a new KKM-type theorem for intersectionally closed-valued KKM
map on abstract convex spaces and its direct consequences such as a Fan-Browder-type …

We prove the existence of a solution to the generalized vector equilibrium problem with
bounds. We show that several known theorems from the literature can be considered as …

In this paper we obtain non compact versions of the best approximation theorem for set
valued maps in hyperconvex spaces. Our results generalize the results obtained by Khamsi …

The KKM theory, first called by the author in 1992, is the study on applications of equivalent
formulations or generalizations of the KKM theorem due to Knaster, Kuratowski, and …

Research Article On Best Approximations in Hyperconvex Spaces Page 1 Research Article On
Best Approximations in Hyperconvex Spaces Reny George , 1,2 Zoran D. Mitrović , 3 and …

The importance of fixed point theory emerges from the fact that it gives a unified approach
and constitutes an essential tool in resolving problems which are not necessarily linear. A …

In this paper we obtain a very general theorem of $\rho $-compatibility for three multivalued
mappings, one of them from the class $\mathfrak {B} $. More exactly, we show that given a G …