On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces

Kumar, Parveen; Fabiano, Nicola; Paunovic, Ljiljana

doi:10.30495/maca.2021.1932335.1014

On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces

https://doi.org/10.30495/maca.2021.1932335.1014

Volume 3, Issue 3
Summer 2021

Pages 1-25

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Parveen Kumar ¹

Nicola Fabiano ²

Ljiljana Paunovic ³

¹ Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonipat 131039, Haryana, India.

² Vinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa 12--14, 11351 Belgrade, Serbia

³ Teacher Education Faculty, University in Pri\v{s}tina-Kosovska Mitrovica, Nemanjina bb, 38218 Leposavic, Serbia

Abstract

In this paper, among other things, we have established four different types of compatible mappings that work in the context of C*-algebra valued metric spaces. The obtained types of mappings generalize from previously known ones within ordinary metric spaces. We have shown by examples that these types of mappings are really different. They can be used to consider new fixed point results which were done in the paper for the case of common fixed points of some mappings. The results in this paper generalize, extend, unify, enrich and complement many known results in the existing literature.

Keywords

C* -algebra valued metric Space

compatible mapping