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A-contractions relative to a weak S-metric and common fixed point theorems

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Author: 
Siva Rama Prasad, V. and Vijaya Lakshmi, G.
Abstract: 

Recently the authors have introduced the notion of a weak S-metric p on a S-metric space . Akram et.al have defined a class A of functions α:〖R_+〗^3→〖R_+〗^3, where R_+ =[0,∞). In this paper we consider a new class 〖ζ_α〗^p of pairs of self maps of a S-metric space with a weak S-metric p, where α∈A and prove two common fixed point theorems for members in that class , analogous to the results proved for metric spaces by Akram et.al.

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