Hybrid pair of multivalued mappings in modular-like metric spaces and applications

Author:

Rasham Tahair1,Nazam Muhammad2,Aydi Hassen345,Shoaib Abdullah6,Park Choonkil7,Lee Jung Rye8

Affiliation:

1. Department of Mathematics, University of Poonch Rawalakot, Azad Kashmir, Pakistan

2. Department of Mathematics, Allama Iqbal Open University, H-8, Islamabad, Pakistan

3. Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, 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 Statistics, Riphah International University, Islamabad 44000, Pakistan

7. Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, Korea

8. Department of Data Science, Daejin University, Kyunggi 11159, Korea

Abstract

<abstract><p>Our aim is to prove some new fixed point theorems for a hybrid pair of multivalued $ \alpha _{\ast } $-dominated mappings involving a generalized $ Q $-contraction in a complete modular-like metric space. Further results involving graphic contractions for a pair of multi-graph dominated mappings have been considered. Applying our obtained results, we resolve a system of nonlinear integral equations.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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