Asia Mathematika, Vol 10, issue 1, pages: 17--21.

CCM-Spaces and fixed point results of GC-contractive mappings

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

Received: 21 Feb 2026 | Accepted: 04 May 2026 | Final Version: 30 May 2026

Abstract

In this paper, we obtain a fixed point result on CCM (Complete Cone Metric)-Spaces on GC (Generalized Contractive)-Condition defended on another function.

Keywords:
Cone metric space, contractive condition, fixed point, sequentially convergent.

1. Introduction

Huang and Zhang [2] introduced the concept of cone metric space, where the set of real numbers is replaced by an ordered Banach space and obtained some fixed point results in cone metric space. Subsequently many authors were inspired by with these results, they have been extending these results in different ways ( see for e.g. [1, 3-17]). Recently J.R. Morales, and E.Rojas [6] obtained some fixed point results on cone metric spaces and fixed point theorems of T-Kannan contractive mappings. In this paper we obtained a fixed point results on CCM-Spaces and on GC(Generalized Contractive) condition defended on another function.

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