<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In 1968, M. G. Maia [16] generalized Banach’s fixed point theorem for a set X endowed with two metrics. In 2014, Ansari [2]introduced the concept of C-class functions and generalized many fixed point theorems in the literature. In this paper, we prove some Maia’s type fixed point results via C-class function in the setting of two metrics space endowed with a binary relation. Our results, generalized and extended many existing fixed point theorems, for generalized contractive and quasi-contractive mappings, in a metric space endowed with binary relation.</p></abstract>

In 1968, M. G. Maia [16] generalized Banach’s fixed point theorem for a set X endowed with two metrics. In 2014, Ansari [2]introduced the concept of C-class functions and generalized many fixed point theorems in the literature. In this paper, we prove some Maia’s type fixed point results via C-class function in the setting of two metrics space endowed with a binary relation. Our results, generalized and extended many existing fixed point theorems, for generalized contractive and quasi-contractive mappings, in a metric space endowed with binary relation.

Maia type fixed point results via C-class function

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Maia type fixed point results via C-class function"}

In 1968, M. G. Maia [16] generalized Banach’s fixed point theorem for a set X endowed with two metrics. In 2014, Ansari [2]introduced the concept of C-class...

Maia type fixed point results via C-class function

Published Online: Dec 02, 2020

Page range: 227 - 244

Received: Feb 02, 2020

DOI: https://doi.org/10.2478/ausm-2020-0015

Keywords
fixed point, generalized contraction mappings, ordered metric spaces, C-class function

© 2020 Arslan Hojat Ansari et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Maia type fixed point results via C-class function

Published Online: Dec 02, 2020

Page range: 227 - 244

Received: Feb 02, 2020

DOI: https://doi.org/10.2478/ausm-2020-0015

Keywordsfixed point, generalized contraction mappings, ordered metric spaces, C-class function

© 2020 Arslan Hojat Ansari et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
fixed point, generalized contraction mappings, ordered metric spaces, C-class function