Unique Fixed-Point Results for ? -Admissible Mapping under (?-??)-Contraction in Complete Dislocated G d -Metric Space

Abdullah Eqal Al-Mazrooei, Abdullah Shoaib and Jamshaid Ahmad
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Abdullah Eqal Al-Mazrooei: Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
Abdullah Shoaib: Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan
Jamshaid Ahmad: Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia

Mathematics, 2020, vol. 8, issue 9, 1-13

Abstract: This paper is designed to display some results which generalize the recent results that cannot be established from the corresponding results in other spaces and do not satisfy the remarks of Jleli et al. (Fixed Point Theor Appl. 210, 2012) and Samet et al. (Int. J. Anal. Article ID 917158, 2013). We obtain unique fixed-point for mapping satisfying ? - ? ? contraction only on a closed G d ball in complete dislocated G d -metric space. An example is also discussed to shed light on the main result.

Keywords: closed G d ball; dislocated G d -metric space; ? -admissible mapping; ?-?? contraction; unique fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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