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The Schauder and Krasnoselskii Fixed-Point Theorems on a Frechet Space

Abstract

In this manuscript, we study some fixed-point theorems of the Schauder and Krasnoselskii type in a Frechet topological vector space E. We prove a fixed-point theorem which is for every weakly compact map from a closed bounded convex subset of a Frechet topological vector space having the Dunford–Pettis property into itself has a fixed point. Using our results, we will establish a new version of the Krasnoselskii fixed-point theorem

Author(s)

Toufic Mohamad Anis El Arwadi

Coauthor(s)

Mohamed Amine Cherif

Journal/Conference Information

Mediterranean Journal of Mathematics,DOI: https://doi.org/10.1007/s00009-018-1141-9, ISSN: 1660-5446/18/030001-7, Volume: 15, Issue: 3, Pages Range: 1-7,