Browsing by Author "Syed Khayyam Shah"

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    _-Contraction of HardyÐRogers type in supermetric spaces with applications
    (Springer Nature, 2024) Kamaleldin Abodayeh; Syed Khayyam Shah; Muhammad Sarwar; Varaporn Wattanakejorn; Thanin Sitthiwirattham; S.K. Shah; Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, 18800, Pakistan; email: khayyamshah0@gmail.com; V. Wattanakejorn; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: varaporn_wat@dusit.ac.th
    This article focuses on studying some fixed-point results via _-contraction of HardyÐRogers type in the context of supermetric space and ordered supermetric space. We also introduced rational-type z-contraction on supermetric space. For authenticity, some illustrative examples and applications have been included. © The Author(s) 2024.
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    _iri_-type generalized F-contractions with integral inclusion in super metric spaces
    (Elsevier B.V., 2024) Kamaleldin Abodayeh; Syed Khayyam Shah; Muhammad Sarwar; Chanon Promsakon; Thanin Sitthiwirattham; S. Khayyam Shah; Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, 18800, Pakistan; email: Khayyamshah0@gmail.com
    This study aims to explore _iri_-type generalized F-contractions, almost F-contractions, and the combination of these contractions in the framework of super metric spaces. These generalizations are significant because they hold where the usual metric conditions mayn't be fulfilled. Using the iteration method, fixed point results have been obtained for these contractions, and through examples and applications to integral inclusions and contractions, we extend existing literature significantly. This extension offers new insights and demonstrates practical relevance. © 2024 The Author(s)