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New numerical scheme for solving integral equations via fixed point method using distinct (ω-F)-contractions
Journal article   Open access  Peer reviewed

New numerical scheme for solving integral equations via fixed point method using distinct (ω-F)-contractions

Sumati Kumari Panda, Thabet Abdeljawad and K. Kumara Swamy
Alexandria engineering journal, Vol.59(4), pp.2015-2026
08/2020
DOI: https://doi.org/10.1016/j.aej.2019.12.034

Abstract

(ω − Fα)-contraction [formula omitted]-contraction [formula omitted]-metric space Ciric type [formula omitted]-contraction
[Display omitted] In this paper, we introduce the notion of (ω-F)-contraction and presented fixed point results for such contractions. Thereafter, by using the technique of fixed point method, we propose a simple solution for a nonlinear integral equation. The effectiveness of this fixed point approach is illustrated by numerical example.
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https://doi.org/10.1016/j.aej.2019.12.034View
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