Existence of fixed points of large MR-Kannan contractions in Banach Spaces

Authors

DOI:

https://doi.org/10.4995/agt.2024.20852

Keywords:

Kannan contraction, enriched Kannan, large Kannan, MR Kannan contractions

Abstract

The purpose of this paper is to introduce the class of large MR-Kannan contractions on Banach space that contains the classes of Kannan, enriched Kannan, large Kannan, MR-Kannan contractions and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. We prove the existence of a unique fixed point for such a class of operators in Banach spaces.

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Author Biographies

Rizwan Anjum, University of Education

Department of Mathematics

Mujahid Abbas, University of Johannesburg

Department of Mechanical Engineering Sciences, Faculty of Engineering and the Built Environment

Muhammad Waqar Akram, University of Education

Department of Mathematics, Division of Science and Technology

Stojan Radenović, University of Belgrade

Faculty of Mechanical Engineering

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Published

2024-10-01

How to Cite

[1]
R. Anjum, M. . Abbas, M. . Waqar Akram, and S. . Radenović, “Existence of fixed points of large MR-Kannan contractions in Banach Spaces”, Appl. Gen. Topol., vol. 25, no. 2, pp. 423–439, Oct. 2024.

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Section

Regular Articles