Multivalued weakly Picard operators via simulation functions with application to functional equations-Reference-Cited by-同舟云学术

Multivalued weakly Picard operators via simulation functions with application to functional equations

Published:2020 Issue:3 Volume:6 Page:2078-2093
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hussain Azhar, ,Yaqoob Saman,Abdeljawad Thabet,Rehman Habib Ur, , , , ,

Abstract

<abstract> <p>The aim of this paper is to introduce the notion of Suzuki type multivalued contraction with simulation functions and then to set up some new fixed point and data dependence results for these type of contraction mappings. We produce an example to support our results. Moreover, we present an application to functional equation arising in dynamical system.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference17 articles.

1. I. Altun, H. A. Hnacer, G. Minak, On a general class of weakly picard operators, Miskolc Math. Notes, 16 (2015), 25–32.

2. S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux equations intégrales, Fundamenta Math., 3 (1922), 133–181.

3. G. Durmaz, Some theorems for a new type of multivalued contractive maps on metric space, Turkish J. Math., 41 (2017), 1092–1100.

4. G. Durmaz, I. Altun, A new perspective for multivalued weakly picard operators, Publications De L'institut Math., 101 (2017), 197–204.

5. A. A. Eldred, J. Anuradha, P. Veeramani, On equivalence of generalized multivalued contractions and Nadler's fixed point theorem, J. Math. Anal. Appl., 336 (2007), 751–757.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fixed Point Results for Multivalued Mappings with Applications;Journal of Function Spaces;2021-08-23

2. On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property;Advances in Difference Equations;2021-04-07