SOME NEW FIXED POINT RESULTS FOR CONVEX CONTRACTIONS IN B-METRIC SPACES

Authors

Diana Dolićanin Đekić

Faculty of Technical Sciences University of Pristina-Kosovska Mitrovica

Bandar Bin-Mohsin

College of Science, King Saud University, Riyadh 11451

DOI 10.5937/univtho9-21890 Original page Cite this article

Keywords

Convex contraction, Fixed point, B-metric space, B-Cauchy sequence

Abstract

The purpose of this paper is to consider various results for convex contraction mappings in the context of B-metric spaces. We, among other things, generalize, extend, correct and enrich the recent published results from the context of convex contractions defined on an ordinary metric spaces to the ones on the so-called B-metric spaces. One example shows that this generalization is genuine. Let us note that this paper represents only the beginning of our investigation of the properties of convex contractions observed in any general metric space.

Issue

Vol. 9 No. 1 (2019)

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