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Fixed point theorems under ω-distance functions and applications to nonlinear integral and fractional differential equations
, R.K. Vats, Z. Kadelburg
Published in University of Kragujevac, Faculty of Science
2019
Volume: 43
   
Issue: 3
Pages: 371 - 392
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. © 2019 University of Kragujevac, Faculty of Science.
About the journal
JournalKragujevac Journal of Mathematics
PublisherUniversity of Kragujevac, Faculty of Science
ISSN14509628