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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2022, Volume : 41e, Issue : 1
First page : ( 34) Last page : ( 45)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.
Article DOI : 10.5958/2320-3226.2022.00005.4

Recent advances on fixed point theorems

Patil Jayashree1, Hardan Basel2,*, Ahire Yogita M.3, Hamoud Ahmed A.4, Bachhav Amol5

1Department of Mathematics, Vasantrao Naik Mahavidyalaya, CIDCO Cannought, M G M, Aurangabad, Maharashtra431003, India

2Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra431004, India

3Department of Applied Science, PVG'S College of Engineering, Nashik, Maharashtra422004, India

4Department of Mathematics, Taiz University, Taiz, Yemen

5Navin Jindal School of Management, University of Texas at Dallas, Dallas, 75080, USA

*Corresponding Author: Basel Hardan, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra431004, India E-mail: bassil2003@gmail.com; drahmedselwi985@gmail.com

Online published on 6 July, 2022.

Abstract

This paper mainly focuses on the recent advances in the fixed point theory. Some discussions are presented on the relation of fixed point theorems to applications, and areas are delineated in the future research directions as well.

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Keywords

Complete metric space, Fixed point, Contraction mappings, Non-expansive mappings.

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