Author:
Tariq Muhammad, ,Abbas Mujahid,Hussain Aftab,Arshad Muhammad,Ali Amjad,Al-Sulami Hamid, ,
Abstract
<abstract><p>The aim of this manuscript is to prove some fixed point results for non-linear set-valued maps with new approach of $ \left(\alpha _{\ast }, \phi _{M}\right) $-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.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
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