Fixed point approximations via generalized MR-Kannan mappings in Banach spaces-Reference-Cited by-同舟云学术

Fixed point approximations via generalized MR-Kannan mappings in Banach spaces

Published:2024-04-02 Issue:1 Volume:25 Page:71-77
ISSN:1989-4147
Container-title:Applied General Topology
language:
Short-container-title:Appl. Gen. Topol.

Author:

Bisht Ravindra K.,Singh Jay

Abstract

In this paper, we introduce a generalization of the concept of MR-Kannan type contractions and utilize this condition to derive new fixed point theorems under both contractive and non-contractive conditions. Our approach enhances various existing results related to enriched mappings.

Publisher

Universitat Politecnica de Valencia

Reference11 articles.

1. R. Anjum, M. Abbas and H. Isik, Completeness problem via fixed point theory, Complex Analysis and Operator Theory 17 (2023), Paper no. 85. https://doi.org/10.1007/s11785-023-01385-1

2. V. Berinde, Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces, Carpathian J. Math. 35, no. 3 (2019), 293-304. https://doi.org/10.37193/CJM.2019.03.04

3. V. Berinde, Approximating fixed points of enriched nonexpansive mappings in Banach spaces by using a retraction-displacement condition, Carpathian J. Math. 36, no. 1 (2020), 27-34. https://doi.org/10.37193/CJM.2020.01.03

4. V. Berinde and M. Păcurar, Approximating fixed points of enriched contractions in Banach spaces, J. Fixed Point Theory Appl. 22 (2020), Paper no. 38. https://doi.org/10.1007/s11784-020-0769-9

5. V. Berinde and M. Păcurar, Kannan's fixed point approximation for solving split feasibility and variational inequality problems, J. Comput. Appl. Math. 386 (2021), 113-217. https://doi.org/10.1016/j.cam.2020.113217