Large Contractions on Quasi-Metric Spaces with an Application to Nonlinear Fractional Differential Equations

Erdal Karapınar, Andreea Fulga, Maliha Rashid, Lariab Shahid and Hassen Aydi
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Erdal Karapınar: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Andreea Fulga: Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500036 Brasov, Romania
Maliha Rashid: Department of Mathematics & Statistics, International Islamic University, Islamabad H-10 44000, Pakista
Lariab Shahid: Department of Mathematics & Statistics, International Islamic University, Islamabad H-10 44000, Pakista
Hassen Aydi: Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia

Mathematics, 2019, vol. 7, issue 5, 1-11

Abstract: In this manuscript, we introduce a new notion: a Berinde type ( α , ψ ) -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.

Keywords: nonlinear fractional differential equations; Berinde type contraction; quasi-metric space; admissible mappings; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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