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

K. PrudhviiD

  1. Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana, India.
Published 30 May 2026Asia Mathematika, volume 10, issue 1, pages 17–21 (2026)doi:10.5281/zenodo.20982955

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.

Cone metric spacecontractive conditionfixed pointsequentially 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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Cite this article

Prudhvi, K. (2026). CCM-Spaces and fixed point results of GC-contractive mappings. Asia Mathematika, 10(1), 17–21. https://doi.org/10.5281/zenodo.20982955

Publication history

Received21 Feb 2026
Accepted04 May 2026
Published30 May 2026