Fixed Points for ( ξ, ω )-Weakly Cyclic Type Generalized Contraction Condition in Metric Spaces with an Application

Penumarthy Parvateesam Murthy, Pusplata Sahu, Amr Elsonbaty, Khizar Hyatt Khan, Rajagopalan Ramaswamy () and Stojan Radenović
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Penumarthy Parvateesam Murthy: Department of Mathematics, Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur 495009, India
Pusplata Sahu: Department of Mathematics, Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur 495009, India
Amr Elsonbaty: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Khizar Hyatt Khan: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Rajagopalan Ramaswamy: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia

Mathematics, 2022, vol. 11, issue 1, 1-14

Abstract: In the present work, we have introduced a new type of ( ξ , ω ) -weakly cyclic generalized contraction in the setting of metric spaces and established some fixed-point results. Fixed-point results are useful in establishing the existence of unique solution to differential equations. We have supplemented the derived results with suitable non-trivial examples with an application to the Boundary Value Problem, generalizing some known results. The analytical result has been verified with numerical simulation.

Keywords: fixed point; cyclic representation; altering distance function; (?,?)-weakly cyclic generalized contraction; boundary value problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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