Large Contractions on Quasi-Metric Spaces with an Application to Nonlinear Fractional Differential Equations
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500036 Brasov, Romania
Department of Mathematics & Statistics, International Islamic University, Islamabad H-10 44000, Pakista
Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
Author to whom correspondence should be addressed.
Received: 22 February 2019 / Revised: 13 May 2019 / Accepted: 14 May 2019 / Published: 18 May 2019
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Abstract In this manuscript, we introduce a new notion: a Berinde type -contraction mapping. Thereafter, we investigate not only the existence, but also the uniqueness of a fixed point of such mappings in the setting of right-complete quasi-metric spaces. The result, presented here, not only generalizes a number of existing results, but also unifies several ones on the topic in the literature. An application of nonlinear fractional differential equations is given.
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Karapınar, E.; Fulga, A.; Rashid, M.; Shahid, L.; Aydi, H. Large Contractions on Quasi-Metric Spaces with an Application to Nonlinear Fractional Differential Equations. Mathematics 2019, 7, 444.
Karapınar E, Fulga A, Rashid M, Shahid L, Aydi H. Large Contractions on Quasi-Metric Spaces with an Application to Nonlinear Fractional Differential Equations. Mathematics. 2019; 7(5):444.
Karapınar, Erdal; Fulga, Andreea; Rashid, Maliha; Shahid, Lariab; Aydi, Hassen. 2019. "Large Contractions on Quasi-Metric Spaces with an Application to Nonlinear Fractional Differential Equations." Mathematics 7, no. 5: 444.
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