Optimum solutions for a system of differential equations via measure of noncompactness

DOI10.1016/j.indag.2018.01.008OpenAlexW2788966790MaRDI QIDQ1749018

Moosa Gabeleh, Jack T. Markin

Publication date: 15 May 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2018.01.008

zbMATH Keywords

system of differential equationsoptimum solutionbest proximity point (pair)cyclic (noncyclic) condensing operator

Mathematics Subject Classification ID

Operator theory (47-XX) Ordinary differential equations (34-XX)

Related Items (20)

Coupled measure of noncompactness and functional integral equations ⋮ Best proximity point (pair) results via MNC in Busemann convex metric spaces ⋮ Sadovskii type best proximity point (pair) theorems with an application to fractional differential equations ⋮ Best proximity point results and application to a system of integro-differential equations ⋮ On a new variant of F-contractive mappings with application to fractional differential equations ⋮ A new approach to the generalization of Darbo's fixed point problem by using simulation functions with application to integral equations ⋮ Global optimum solutions for a system of \((k, \psi)\)-Hilfer fractional differential equations: best proximity point approach ⋮ New best proximity point (pair) theorems via MNC and application to the existence of optimum solutions for a system of \(\psi\)-Hilfer fractional differential equations ⋮ Mappings of generalized condensing type in metric spaces with Busemann convex structure ⋮ Componentwise localization of solutions to systems of operator inclusions via Harnack type inequalities ⋮ Darbo type best proximity point results via simulation function with application ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A NEW EXTENSION OF DARBO’S FIXED POINT THEOREM USING RELATIVELY MEIR–KEELER CONDENSING OPERATORS ⋮ Condensing mappings and best proximity point results ⋮ Cyclic (noncyclic) phi-condensing operator and its application to a system of differential equations ⋮ Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems ⋮ Condensing operators of integral type in Busemann reflexive convex spaces ⋮ Best Proximity Point Results via Measure of Noncompactness and Application ⋮ Simulation functions and Meir–Keeler condensing operators with application to integral equations

Cites Work

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• Retracted: The Hausdorff measure of noncompactness for some matrix operators
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• Some generalizations of Darbo fixed point theorem and applications
• Extensions of two fixed point theorems of F. E. Browder
• Punti uniti in trasformazioni a codominio non compatto
• Best Proximity Points and Fixed Point Results for Certain Maps in Banach Spaces
• Proximal normal structure and relatively nonexpansive mappings
• Best proximity points for cyclic mappings in ordered metric spaces

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