EXISTENCE OF FIXED POINT FOR A NEW CLASS OF ENRICHED PSEUDOCONTRATIVE MAPPINGS

EXISTENCE OF FIXED POINT FOR A NEW CLASS

Authors

  • Godwin Amechi Okeke Department of Mathematics, Federal University of Technology, Owerri, Imo State, Nigeria
  • Imo Agwu Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria
  • Donatus Igbokwe Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Abia State
  • Hallowed Olaoluwa Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria

Abstract

In this paper, we introduce a new class of mappings known as $\beta
$-enriched pseudocontractive mappings and proved that the fixed point for
such mappings do exist in the setup of uniformly convex Banach spaces. Our
result is an extension of comparable results in the existing literature.
Some examples are presented to support the main results established in this
paper.

Author Biography

Godwin Amechi Okeke, Department of Mathematics, Federal University of Technology, Owerri, Imo State, Nigeria

Associate Professor, Department of Mathematics, Federal University of Technology, Owerri, Imo State, Nigeria

https://www.scopus.com/authid/detail.uri?authorId=55654219800

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Published

2024-09-26

How to Cite

Okeke, G. A., Agwu, I., Igbokwe, D., & Olaoluwa, H. (2024). EXISTENCE OF FIXED POINT FOR A NEW CLASS OF ENRICHED PSEUDOCONTRATIVE MAPPINGS: EXISTENCE OF FIXED POINT FOR A NEW CLASS . Journal of the Nigerian Mathematical Society, 43(3), 221–235. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/1079

Issue

Vol. 43 No. 3 (2024): JNMS

Section

Articles

License

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