Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications

Author:

Rasham Tahair1ORCID,Shoaib Abdullah2ORCID,Park Choonkil3ORCID,de la Sen Manuel4ORCID,Aydi Hassen56,Lee Jung Rye7

Affiliation:

1. Department of Mathematics, Faculty of Science and Technology, Women University of Azad Jammu and Kashmir, Bagh, Pakistan

2. Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan

3. Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea

4. Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, P. O. Box 48940, Leioa, 48940 Bizkaia, Spain

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

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

7. Department of Mathematics, Daejin University, Kyunggi 11159, Republic of Korea

Abstract

The aim of this research work is to find out some results in fixed point theory for a pair of families of multivalued mappings fulfilling a new type of U -contractions in modular-like metric spaces. Some new results in graph theory for multigraph-dominated contractions in modular-like metric spaces are developed. An application has been presented to ensure the uniqueness and existence of a solution of families of nonlinear integral equations.

Funder

Basque Government

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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