Abstract

In the present paper, we establish the proof of a fixed point result for ordered Reich type contraction in cone pentagonal metric spaces with the cone which is not necessarily normal. The obtained results are new and generalize the results of Reich [17], Auwalu A. [1] and Garg et. al. [7] in ordered cone pentagonal metric spaces.

Keywords and Phrases

Cone pentagonal metric space, fixed point, ordered Reich type contraction.

A.M.S. subject classification

47H10, 54H25.

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