Some Fixed Point Theorems for α-Admissible Mappings in Complex-Valued Fuzzy Metric Spaces

Author:

Shukla Satish1ORCID,Rai Shweta2ORCID,Shukla Rahul3ORCID

Affiliation:

1. Department of Mathematics, Shri Vaishnav Institute of Science, Shri Vaishnav Vidyapeeth Vishwavidyalaya, Gram Baroli Sanwer Road, Indore 453331, India

2. Department of Mathematics, Acropolis Institute of Technology & Research, Indore 453771, India

3. Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa

Abstract

This paper discusses some properties of complex-valued fuzzy metric spaces and introduces the α-admissible mappings in the setting of complex-valued fuzzy metric spaces. We establish fixed point theorems for mappings satisfying symmetric contractive conditions with control functions. The results of this paper generalize, extend, and improve several results from metric, fuzzy metric, and complex-valued fuzzy metric spaces. Several examples are presented that verify and illustrate the new concepts, claims, and results.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference32 articles.

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3. Fixed points in fuzzy metric spaces;Grabiec;Fuzzy Sets Syst.,1988

4. On some results in fuzzy metric spaces;George;Fuzzy Sets Syst.,1994

5. Statistical metric spaces;Schweizer;Pac. J. Math.,1960

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