Fixed points of non-linear set-valued $ \left(\alpha _{\ast }, \phi _{M}\right) $-contraction mappings and related applications

Autor: Muhammad Tariq, Mujahid Abbas, Aftab Hussain, Muhammad Arshad, Amjad Ali, Hamid Al-Sulami
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 5, Pp 8861-8878 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022494?viewType=HTML
Popis: The aim of this manuscript is to prove some fixed point results for non-linear set-valued maps with new approach of (α∗,ϕM)-contraction in complete M-metric space. Also, we prove some fixed point results in ordered M-metric space. As an presented work which are the extension and improves the current study of set-valued mappings. Finally, we also give an non-trivial extensive examples and application to homotopy theory and the existence solution of functional equations to show that our concepts are meaningful and to support our results.
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