Volume no :65, Issue no: 1, March (2021)

FIXED POINT THEOREMS ON GENERALIZED RECTANGULAR METRIC SPACES

Author's: O. K. Adewale, J. O. Olaleru, H. Olaoluwa and H. Akewe
Pages: [59] - [84]
Received Date: February 22, 2021; Revised May 4, 2021
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122185

Abstract

In this paper, we introduce the notion of generalized rectangular metric spaces which extends rectangular metric spaces introduced by Branciari. Analogues of the some well-known fixed point theorems are proved in this space. With an example, it is shown that a generalized rectangular metric space is neither a G-metric space nor a rectangular metric space. Our results generalize many known results in fixed point theory.

Keywords

rectangular metric spaces, G-metric spaces, fixed point.