Type: Article

Asymptotic fixed point theorem for set-valued mappings

Journal: Journal of Nonlinear and Convex Analysis (13454773)Year: 2018Volume: Issue: 7Pages: 1189 - 1198

Fakhar M.^a Soltani Z. Zafarani J.

a :University of Isfahan - IRAN(IR) - Isfahan

Language: English

Abstract

In this paper, we study the existence of fixed point for asymptotic compact absorbing contraction map and generalized a-set contraction maps. Moreover, we present structure of fixed point set results for this maps. Also, the asymptotic version of the Meir-Keeler, Boyd-Wong, Nadler contractions for the KKM maps on metric space are given. © 2018 Yokohama Publications.

Author Keywords

1-set contraction mapCompact absorbing contraction mapFixed pointGeneralized a-set contraction