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This article deals with certain outcomes on fixed points of an orthogonal nonlinear contraction map in the framework of O-complete metric spaces. The findings investigated herein enhance and sharpen a few outcomes on fixed points. In order to demonstrate our outcomes, we provide a number of illustrative examples. Finally, via our findings, we discuss the existence and uniqueness of solutions to a periodic boundary value problem.
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; Akram, Mohammad 2 ; Dilshad, Mohammad 3
1 Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 84428, Saudi Arabia
2 Department of Mathematics, Faculty of Science, Islamic University of Madinah, P.O. Box 170, Madinah 42351, Saudi Arabia
3 Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia;