JP Journal of Fixed Point Theory and Applications

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FIXED POINT THEORY FOR THE GENERALIZED WEAKLY REICH CONTRACTION MAPPING

Authors

  • Clement Boateng Ampadu

Keywords:

fixed point theorem, weakly Reich contraction mapping, metric spaces

DOI:

https://doi.org/10.17654/0973422823005

Abstract

In this paper, we introduce a concept of generalized weakly Reich contraction mapping and prove a fixed point theorem. An example is given in support of the main result.

Received: October 2, 2023
Accepted: October 19, 2023

References

Ya. I. Alber and S. Guerre-Delabriere, Principles of weakly contractive maps in Hilbert spaces, New Results in Operator Theory and its Applications, I. Gohberg and Yu. Lyubich, eds., Birkhauser, Basel, Vol. 8, 1997, pp. 7-22.

B. S. Choudhury, Unique fixed point theorem for weakly C-contractive mappings, Kathmandu University J. Sci. Engg. Tech. 5 (2009), 6-13.

B. E. Rhoades, Some theorems on weakly contractive maps, Nonlinear Anal. 47 (2001), 2683-2693.

L. Ciric, N. Hussain and N. Cakic, Common fixed points for Ciric type f weak contraction with applications, Publ. Math. Debrecen 76 (2010), 31-49.

Sumit Chandok, Some common fixed point theorems for generalized f-weakly contractive mappings, J. Appl. Math. Inform. 29(1-2) (2011), 257-265.

S. Reich, Fixed points of contractive functions, Boll. Un. Mat. Ital. (4) 5 (1972), 26-42.

Published

2023-12-20

Issue

Section

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