On interpolative Hardy-Rogers type multivalued contractions via a simulation function-Reference-Cited by-同舟云学术

On interpolative Hardy-Rogers type multivalued contractions via a simulation function

Published:2022 Issue:8 Volume:36 Page:2847-2856
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Karapınar Erdal¹,Ali Ahsan²,Hussain Azhar³,Hassen Aydi⁴

Affiliation:

1. Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam + Department of Mathematics, Çankaya University, Etimesgut, Ankara, Turkey + Department Of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

2. Department of Mathematics, University of Sargodha, Sargodha, Pakistan

3. Department of Mathematics, University of Sargodha, Sargodha, Pakistan + Department of Mathematics, University of Chakwal, Chakwal, Pakistan

4. Department Of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan + Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse, Tunisia + Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

Abstract

In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide some examples. We also prove data dependence of the fixed point sets. Moreover, we present strict fixed point set, well-posedness and homotopy results.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference23 articles.

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2. H. Aydi, C.M. Chen, E. Karapınar, Interpolative Ciric-Reich-Rus type contractions via the Branciari distance, Mathematics, 2019, 7(1), 84.

3. A.H. Ansari, Note on φ-ψ-contractive type mappings and related fixed point, The 2nd Regional Conference on Math. Appl. PNU, (2014), 377-380.

4. A.H. Ansari, H. Isik, S. Radenović, Coupled fixed point theorems for contractive mappings involving new function classes and applications, Filomat, 31:7 (2017), 1893-1907.

5. H. Covitz, S.B. Nadler, Multi-valued contraction mappings in generalized metric spaces, Israel J. Math. 8(1970) 5-11.

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