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

By E. Karapınar, Andreea Fulga, M. Rashid, Lariab Shahid, Hassen Aydi. Mathematics, 2019

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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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2ef4fe777d7d1f5ff2cff4b072a5e5e12e781749