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

Authors

  • Khaled Ben Amara University of Sfax
  • Aref Jeribi University of Sfax
  • Najib Kaddachi University of Sfax and University of Kairouan

DOI:

https://doi.org/10.1515/ms-2021-0067

Keywords:

countably condensing multimap, functional-integral inclusions, Banach spaces, measure of weak non-compactness, fixed point theorems

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.

Author Biographies

  • Khaled Ben Amara, University of Sfax

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

  • Aref Jeribi, University of Sfax

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

  • Najib Kaddachi, University of Sfax and University of Kairouan

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

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

Published

2021-12-10

Issue

Vol. 71 No. 6 (2021): Mathematica Slovaca

Section

Articles - Other topics