New Contributions to Fixed Point Theory for Multi-Valued Feng–Liu Contractions-Reference-Cited by-同舟云学术

New Contributions to Fixed Point Theory for Multi-Valued Feng–Liu Contractions

Published:2023-03-06 Issue:3 Volume:12 Page:274
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Petruşel Adrian¹²^ORCID,Petruşel Gabriela³^ORCID,Yao Jen-Chih⁴

Affiliation:

1. Department of Mathematics, Babeş-Bolyai University Cluj-Napoca, Kogălniceanu Street, No.1, 400084 Cluj-Napoca, Romania

2. Academy of Romanian Scientists, Independenţei No. 54, 050094 Bucharest, Romania

3. Department of Business, Babeş-Bolyai University Cluj-Napoca, Horea Street, No.7, 400174 Cluj-Napoca, Romania

4. Center for General Education, China Medical University Taichung, Taichung 40402, Taiwan

Abstract

In this paper, we will prove several new results related to the concept of the multi-valued Feng–Liu contraction. An existence, approximation and localization fixed point theorem for a generalized multi-valued nonself Feng–Liu contraction and a new fixed point theorem for multi-valued Feng–Liu contractions in vector-valued metric spaces are proved. Stability results and an application to a system of operatorial inclusions are also given.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/3/274/pdf

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