Open AccessGlobal optimal solutions of a system of differential equations via measure of noncompactness
Author(s) -
Moosa Gabeleh,
J.T. Markin
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2115059g
Subject(s) - mathematics , measure (data warehouse) , class (philosophy) , point (geometry) , comparison theorem , mathematical analysis , fixed point theorem , differential equation , computer science , geometry , data mining , artificial intelligence
We establish the existence of best proximity points (pairs) for a new class of cyclic (noncyclic) condensing operators by using the concept of measure of noncompactness. Our conclusions extend and improve the main results of [Indagationes Math. 29 (2018), 895-906]. By applying our results, we prove a coupled best proximity point theorem and investigate the existence of a solution for a system of differential equations.