New fixed point theorems for countably condensing maps with an application to functional integral inclusions

Author:

Amara Khaled Ben1,Jeribi Aref2,Kaddachi Najib12

Affiliation:

1. Department of Mathematics , Faculty of Sciences of Sfax, University of Sfax , Road Soukra Km 3.5, B.P. 1171, 3000 , Sfax , Tunisia

2. Faculty of Sciences and Technology of Sidi Bouzid, University of Kairouan , B.P. 380, 9100 , Sidi Bouzid , Tunisia

Abstract

Abstract This paper presents new fixed point theorems for 2 × 2 block operator matrix with countably condensing or countably 𝓓-set-contraction multi-valued inputs. Our theory will then be used to establish some new existence theorems for coupled system of functional differential inclusions in general Banach spaces under weak topology. Our results generalize, improve and complement a number of earlier works.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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