FIXED POINT THEOREMS FOR GERAGHTY-REICH CONTRACTION MAPPINGS IN CONE METRIC SPACES OVER BANACH ALGEBRA

Authors

  • Godwin Amechi Okeke Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri
  • Panle Augustine Bwan Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri
  • Ho Geun Hyun Department of Mathematics Education, Kyungnam University

Abstract

In this paper we prove the existence and uniqueness of fixed points of Geraghty-Reich type contraction mappings in generalized cone metric space over Banach algebra,which generalized some results in cone metric spaces. The results we establish in this workgeneralized some existing results in literature.

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Published

2026-08-30

Issue

Volume 31, Number 3, September 2026

Section

Articles