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Common Fixed Points for Mappings under Contractive Conditions of ( α , β , ψ )-Admissibility Type

Author

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  • Wasfi Shatanawi

    (Department of Mathematics and general courses Prince Sultan University, Riyadh 11586, Saudi Arabia
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

Abstract

In this paper, we introduce the notion of ( α , β , ψ ) -contraction for a pair of mappings ( S , T ) defined on a set X . We use our new notion to create and prove a common fixed point theorem for two mappings defined on a metric space ( X , d ) under a set of conditions. Furthermore, we employ our main result to get another new result. Our results are modifications of many existing results in the literature. An example is included in order to show the authenticity of our main result.

Suggested Citation

  • Wasfi Shatanawi, 2018. "Common Fixed Points for Mappings under Contractive Conditions of ( α , β , ψ )-Admissibility Type," Mathematics, MDPI, vol. 6(11), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:261-:d:183680
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    References listed on IDEAS

    as
    1. Shatanawi, Wasfi, 2012. "Some fixed point results for a generalized ψ-weak contraction mappings in orbitally metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 520-526.
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