C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distance
Articles
Arslan Hojat Hojat Ansari
Islamic Azad University, Iran
Wasfi Shatanawi
Hashemite University, Jordan; Prince Sultan University, Saudi Arabia
Published 2017-10-27
https://doi.org/10.15388/NA.2017.6.1
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Keywords

nonlinear contractions
G-metric space
common fixed point
Ω-distance
C-class function

How to Cite

Ansari, A.H.H. and Shatanawi, W. (2017) “C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distance”, Nonlinear Analysis: Modelling and Control, 22(6), pp. 739–752. doi:10.15388/NA.2017.6.1.

Abstract

In this paper, we derive and formulate many fixed point results of cyclic form under contractive conditions based on implicit relations in the setting of Ω-distance. Our results improve and generalize many existing results in the literature. Also, we introduce an example to show the validity of our main result.

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