On Best Approximations for Set-Valued Mappings in <i>G</i>-convex Spaces

Abstract

In this paper we obtain a best approximations theorem for multi-valued mappings in G -convex spaces. As applications, we derive results on the best approximations in hyperconvex and normed spaces. The obtain results generalize many existing results in the literature.

Keywords

• g-convex space
• hyperconvex space
• kkm map
• best approximations