Fixed-Point Results of Generalized (<i>ϕ</i>,<i>Ψ</i>)-Contractive Mappings in Partially Ordered Controlled Metric Spaces with an Application to a System of Integral Equations
Mohammad Akram,
Salha Alshaikey,
Umar Ishtiaq,
Muhammad Farhan,
Ioannis K. Argyros,
Samundra Regmi
Affiliations
Mohammad Akram
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia
Salha Alshaikey
Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca 24382, Saudi Arabia
Umar Ishtiaq
Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
Muhammad Farhan
Department of Mathematics, National University of Modern Languages Islamabad, Multan Campus, Multan 59300, Pakistan
Ioannis K. Argyros
Department of Computing and Mathematical Sciences, Cameron University, Lawton, OK 73505, USA
Samundra Regmi
Department of Mathematics, University of Houston, Houston, TX 77204, USA
In this manuscript, we prove numerous results concerning fixed points, common fixed points, coincidence points, coupled coincidence points, and coupled common fixed points for (ϕ,Ψ)-contractive mappings in the framework of partially ordered controlled metric spaces. Our findings introduce a novel perspective on this mathematical context, and we illustrate the uniqueness of our findings through various explanatory examples. Also, we apply the main result to find the existence and uniqueness of the solution of the system of integral equations as an application.
