SOME FIXED POINT THEOREMS IN DISLOCATED QUASI EXTENDED B-METRIC SPACE

SOME FIXED POINT THEOREMS IN DISLOCATED QUASI EXTENDED B-METRIC SPACE

N. Mittal, Z. K. Ansari, A. Vyas

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Abstract

In 2017, Kamran et al. [14] introduced the notion of extended b-metric space as a generalization of b-metric space. The concept of dislocated quasi extended b-metric space was presented by Nurwahyu [15]. In this paper, Banach’s contraction principle and fixed point results for other different contraction type mapping given by Bianchini [5] and Agrawal et al. [3] are established in this space. The established results broaden and generalize a number of fixed point results in the literature. Also provided are appropriate examples of the established results.

Keywords

Fixed Point, Contraction Map, b-Metric, Dislocated Quasi b-Metric Space, Cauchy Sequence.