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Ffixed point for mappings under contractive condition based on simulation functions and cyclic (alpha, beta)-admissibility
Journal article

Ffixed point for mappings under contractive condition based on simulation functions and cyclic (alpha, beta)-admissibility

H. Qawagneh, M. S. Noorani, W. Shatanawi, K. Abodayeh and H. Alsamir
Journal of mathematical analysis, Vol.9(1), pp.38-51
01/01/2018

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we present some fixed point results in the setting of a complete metric space by defining a new contractive condition via a cyclic (alpha, beta) admissible mapping imbedded in simulation function. As a consequence of our main theorems we derive many fixed point theorem for a mapping satisfying some nonlinear contractions. Our results generalize and extend several works existing in literature. Finally, we provide an example in order to support our results.

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