<abstract xmlns="http://www.w3.org/1999/xhtml">
<p>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 <italic>Z</italic><italic><sub>µ</sub></italic><italic>− </italic>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.</p>
</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 Zµ− 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.

Fixed Point Index for Simulation Mappings and Applications

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Fixed Point Index for Simulation Mappings and Applications"}

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...

Fixed Point Index for Simulation Mappings and Applications

Published Online: Oct 21, 2023

Page range: 27 - 45

Received: Sep 26, 2022

Accepted: Feb 06, 2023

DOI: https://doi.org/10.2478/auom-2023-0030

Keywords
Fixed point index, fixed point, Leary-Shauder boundary condition, measure of non compactness, contractive mappings, Krasnoselskii fixed point theorem

© 2023 Abdelhamid Benmezaï et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fixed Point Index for Simulation Mappings and Applications

Published Online: Oct 21, 2023

Page range: 27 - 45

Received: Sep 26, 2022

Accepted: Feb 06, 2023

DOI: https://doi.org/10.2478/auom-2023-0030

KeywordsFixed point index, fixed point, Leary-Shauder boundary condition, measure of non compactness, contractive mappings, Krasnoselskii fixed point theorem

© 2023 Abdelhamid Benmezaï et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Fixed point index, fixed point, Leary-Shauder boundary condition, measure of non compactness, contractive mappings, Krasnoselskii fixed point theorem