Generalized ( ?, ? )-Contractions and Related Fixed Point Results in a P.M.S

Vahid Parvaneh, Babak Mohammadi, Hassen Aydi and Aiman Mukheimer
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Vahid Parvaneh: Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb 0834, Iran
Babak Mohammadi: Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
Hassen Aydi: Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
Aiman Mukheimer: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Mathematics, 2019, vol. 7, issue 5, 1-14

Abstract: In this paper, we present the concept of Θ − ( σ , ξ ) Ω -contraction mappings and we nominate some related fixed point results in ordered p -metric spaces. Our results extend several famous ones in the literature. Some examples and an application are given in order to validate our results.

Keywords: fixed point; generalized contraction; complete ordered p -metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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