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NEW COMMON FIXED POINT THEOREMS FOR CYCLIC COMPATIBLE CONTRACTIONS
Journal article

NEW COMMON FIXED POINT THEOREMS FOR CYCLIC COMPATIBLE CONTRACTIONS

Zubaria Aslam, Jamshaid Ahmad and Nazra Sultana
Journal of mathematical analysis, Vol.8(3), pp.1-12
01/01/2017

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The aim of this paper is to introduce cyclic compatible circle dot-contraction and establish some common fixed point theorems in the setting of a generating space of a b-quasi-metric family. We also apply a simple condition on the function circle dot to extend the result of Samet et al. (J. Inequal. Appl. 2014, 38(2014)). With this condition, we also prove a fixed point theorem for Suzuki type circle dot-contractions which generalize various results of literature.

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