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An Extension of Strict Almost Contractions Employing Control Function and Binary Relation with Applications to Boundary Value Problems

Doaa Filali, Mohammad Akram () and Mohammad Dilshad
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Doaa Filali: Department of Mathematical Science, College of Sciences, Princess Nourah bint Abdulrahman University, Riyadh 84428, Saudi Arabia
Mohammad Akram: Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia
Mohammad Dilshad: Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia

Mathematics, 2023, vol. 11, issue 19, 1-11

Abstract: This article comprises some fixed point results for Boyd–Wong-type strict almost contractions using locally L -transitive binary relations. We provide several examples to illustrate our findings. On applying our results, we determine a unique solution of a special boundary value problem.

Keywords: fixed points; strict almost contractions; binary relation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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