Asia Mathematika, Vol 10, issue 1, pages: 12--16.

The Chatterjea fixed point theorem on CCRM - spaces

K. Prudhvi
Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana, India.

Received: 17 Feb 2026 | Accepted: 04 May 2026 | Final Version: 30 May 2026

Abstract

In the present paper, we obtain a fixed point result on CCRM (Complete Cone Rectangular) - Spaces. We extend the results of Jleli and samet results existing in the literature.

Keywords:
Cone metric space, cone rectangular metric space, fixed point, normal cone.

1. Introduction

Banach fixed point theorem is first and foremost one in fixed point theory and lot of generalizations has been done in this theorem. Huang and Zhang [5] have introduced the concept of cone metric space, where the set of real numbers is replaced by an ordered Banach space and they obtained fixed point results for contractive type conditions in normal cone metric space. Subsequently many authors has been studying and generalizing this cone metric space [see for e.g.[1-8], [9-16]. Branciari [3], Azam, Arshad and Beg [1] extended the notion of cone metric spaces by replacing the triangular inequality by a rectangular inequality. Recently. Jleli and Samet [4] obtained a fixed point theorem in a cone rectangular metric space. In this paper, we have generalized and extended the results of [4].

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