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Fixed Point Index for Simulation Mappings and Applications

Abdelhamid Benmezaï

Abdelhamid Benmezaï

National Higher School of MathematicsAlgiers, Algeria
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Benmezaï, Abdelhamid
, 
Karima Hammache

Karima Hammache

Ecole Nationale Polytechnique, Avenue Hassen Badi, El-HarrachAlgiers, Algeria
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Hammache, Karima
 and 
Nassima Melouane

Nassima Melouane

University Akli Mohand OulhadjBouira, Algeria
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Melouane, Nassima
  
Oct 21, 2023
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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
© 2023 Abdelhamid Benmezaï et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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