A tripled coincidence point technique for solving integral equations via an upper class of type II

Author:

Hammad Hasanen A.12,Aydi Hassen345,Mukheimer Aiman6

Affiliation:

1. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

3. Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia

4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

6. Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Abstract

<abstract><p>The goal of this paper is to obtain some tripled coincidence point results for generalized contraction mappings in the setting of $ JS $-metric spaces endowed with a partial order. Furthermore, illustrative examples to support the theoretical results and the application are obtained. Finally, some theoretical results are applied to discuss the existence of a solution for a system of non-homogeneous and homogeneous integral equations as applications.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference25 articles.

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2. E. Picard, Mémoire sur la thórie des équations aux derivées partielles et la méthode des approximations successives, J. Math. Pures Appl., 6 (1890), 145–210.

3. S. Banach, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales, Fund. Math., 3 (1922), 138–181.

4. M. Jleli, B. Samet, A generalized metric space and related fixed point theorems, Fixed Point Theory Appl., 2015 (2015), 61. https://doi.org/10.1186/s13663-015-0312-7

5. H. A. Hammad, M. De la Sen, H. Aydi, Analytical solution for differential and nonlinear integral equations via $F_{\varpi _{e}}$-Suzuki contractions in modified $\varpi _{e}$-metric-like spaces, J. Funct. Spaces, 2021 (2021), 6128586. https://doi.org/10.1155/2021/6128586

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