A Generalized Extended b2 Metric Space and a Fixed - Point Result for φ-contraction on a Generalized Extended b2 Metric Space

Manish Kumar

Abstract: Z. Mustafa [8] introduced generalized metric space called b2-metric space. Kamran et al. [7], have dealt with an extended b-metric space. The aim of this paper is to establish a notion of a generalized extended b2 metric space which extends and generalizes metric space due to Z. Mustafa [8], Khan et al [10] and Kamran et al. [7]. Also we prove a fixed point theorem on a generalized extended b2 metric space.

Keywords: metric space, b metric space, 2 metric space, generalized 2 metric space, extended 2 metric space