Existence of fixed points of generalized set-valued $ F $-contractions of $ b $-metric spaces-Reference-Cited by-同舟云学术

Existence of fixed points of generalized set-valued $ F $-contractions of $ b $-metric spaces

Published:2022 Issue:10 Volume:7 Page:17967-17988
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ali Basit¹,Butt Hafiza Aqsa¹²,Sen Manuel De la³

Affiliation:

1. Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan

2. Department of Mathematics, The Sahara College Narowal, Narowal, Punjab, Pakistan

3. Department of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country (UPV/EHU), Campus of Leioa, 48940 Leioa, Bizkaia, Spain

Abstract

<abstract><p>This paper deals with the existence of non-empty fixed point sets of newly introduced generalized set-valued $ F $-contractions of $ b $-metric spaces. Some illustrative examples show that the new results in this paper generalize properly, unify and extend some related results in the existing literature. Moreover, we extract some important consequences of the results in $ b $-metric spaces. Particularly, by setting $ b $-metric constant equal to one, we obtain some specific cases showing notable enhancement of existing results yet in metric spaces.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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