A GENERALIZATION OF A FIXED POINT THEOREM DUE TO HITZLER AND SEDA IN DISLOCATED QUASI-METRIC SPACES (original) (raw)
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2015
Our goal in this paper is to study of fixed point theorems in dislocated quasi-metric spaces and dislocated metric spaces which we can apply in a variety of different situations. This article can be considered as a continuation of the remarkable works of Hitzler et al [9], Zeyada et al. [6] and Geraghty [17]. In this article, we review briefly some generalizations of metric space with examples and we describe some properties, introduce new definitions and present some lemmas and propositions related to dislocated metric spaces and dislocated quasi-metric spaces. We also present some fixed point and common fixed point theorems for selfmappings in a complete dislocated metric spaces and quasi-metric spaces under various contractive conditions and present some examples to illustrate the effectiveness of our results. Keywords and Phrases: Fixed point, Common fixed point, dislocated metric spaces, dislocated quasi-metric spaces, contraction. MATHEMATICS SUBJECT CLASSIFICATION (2010): 47H...
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