LOCALLY AND WEAKLY CONTRACTIVE PRINCIPLE IN BIPOLAR METRIC SPACES

LOCALLY AND WEAKLY CONTRACTIVE PRINCIPLE IN BIPOLAR METRIC SPACES

A. Mutlu, K. Özkan, U. Gürdal

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Abstract

In this article, we introduce concepts of (; )-uniformly locally contractive and weakly contractive mappings, which are generalizations of Banach contraction mapping, in bipolar metric spaces. Also, we express the results showing the existence and uniqueness of xed point for these mappings.

Keywords

bipolar metric space, -chainable, (; )-uniformly locally contractive, weakly contractive, xed point.