Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1069
Title: Fixed point theorems under ω-distance functions and applications to nonlinear integral and fractional differential equations
Authors: Nashine, H. K.
Vats, R. K.
Kadelburg, Zoran 
Keywords: Fixed point;Fractional integral boundary value problem;G-metric space;Partially ordered set;Ulam-hyers stability;ω-Distance function
Issue Date: 1-Jan-2019
Journal: Kragujevac Journal of Mathematics
Abstract: 
In this paper, we utilize the family F and the notion of ω-distance in an ordered G-metric space and introduce (F, ω)-contractions in order to derive some fixed point results. We also discuss the problems of Ulam-Hyers stability, well-posedness and limit shadowing property. In order to illustrate the use of our results, we apply them to nonlinear integral equations, as well as to some three-point fractional integral boundary value problems, both with numerical examples.
URI: https://research.matf.bg.ac.rs/handle/123456789/1069
ISSN: 14509628
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