Q-HYPERCONVEXITY IN QUASI-CONE METRIC SPACES AND FIXED POINT THEOREMS

Authors

  • YAE ULRICH GABA Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa

Keywords:

quasi-cone metric space, bicomplete space, q-Hyperconvexity

Abstract

In this article, we introduce the concept of a q-hyperconvexity for quasi-cone metric spaces and generalise some fixed point theorems that we take from [8] and [11]. Mainly, we give some fixed point results for a pair of maps of Jungck type. Moreover we prove that quasi-cone metric spaces are topological spaces and we give a characterization of bounded set in such spaces.

Additional Files

Published

12/20/2016

Issue

Vol. 7 No. 1 (2016): JNAO

Section

Research Articles

License

Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.