Global optimal solutions of a system of differential equations via measure of noncompactness | Zendy

Moosa Gabeleh | Zendy; J.T. Markin | Zendy

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Global 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.

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