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α⁎-dominated set-valued mappings and some generalised fixed point results

Authors:

Abdullah Shoaib ,

PK
About Abdullah

Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan.

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Tahair Rasham,

PK
About Tahair

Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan

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Nawab Hussain,

SA
About Nawab

Department of Mathematics, King Abdul Aziz University, Jeddah 21589, Saudi Arabia.

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Muhammad Arshad

PK
About Muhammad
Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan
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Abstract

In this paper, we established some fixed point results for a pair of dominated set-valued mappings fulfilling new generalised Ciric type rational contraction on a sequence contained in a closed ball in a complete dislocated b-metric space. As an application, we established the existence of common fixed point of multi α⁎- dominated mappings in ordered complete dislocated b-metric space. Fixed point results with graphic contractions on a closed ball for graph dominated mappings were established. New definition and results for single-valued mappings were also given. Examples were given to demonstrate the variety of obtained results. The obtained results extended and generalised several comparable results in the existing literature. 

 

How to Cite: Shoaib, A., Rasham, T., Hussain, N. and Arshad, M., 2019. α⁎-dominated set-valued mappings and some generalised fixed point results. Journal of the National Science Foundation of Sri Lanka, 47(2).
Published on 23 May 2019.
Peer Reviewed

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