Fixed Point Index for Simulation Mappings and Applications

Abdelhamid Benmezaï; Karima Hammache; Nassima Melouane

doi:10.2478/auom-2023-0030

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Fixed Point Index for Simulation Mappings and Applications

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 31 (2023): Issue 3 (September 2023)

By: Abdelhamid Benmezaï, Karima Hammache and Nassima Melouane

Open Access

|Oct 2023

Abstract

In this paper, we construct the fixed point index for a class of contractive mapping defined by a simulation mapping and a measure of noncompact-ness noted by Z_µ− contraction maps. Then we establish some fixed point theorem for this mapping of the Krasnoselskii type. An Application to the integral equation is presented to support the results.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2023-0030 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 27 - 45

Submitted on: Sep 26, 2022

Accepted on: Feb 6, 2023

Published on: Oct 21, 2023

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Fixed point index,

fixed point,

Leary-Shauder boundary condition,

measure of non compactness,

contractive mappings,

Krasnoselskii fixed point theorem

Related subjects:

Mathematics,

General mathematics

© 2023 Abdelhamid Benmezaï, Karima Hammache, Nassima Melouane, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 31 (2023): Issue 3 (September 2023)