6533b7d9fe1ef96bd126c341
RESEARCH PRODUCT
Cyclic (noncyclic) phi-condensing operator and its application to a system of differential equations
Calogero VetroMoosa GabelehPhilemon Moshokoasubject
Pure mathematicsnoncyclic φ-condensing operatorDifferential equationApplied Mathematics010102 general mathematicsBanach spaceRegular polygonFixed-point theoremlcsh:QA299.6-433Extension (predicate logic)lcsh:Analysis01 natural sciencesMeasure (mathematics)Noncyclic ϕ-condensing operator010101 applied mathematicsstrictly convex Banach spaceOperator (computer programming)Settore MAT/05 - Analisi Matematicabest proximity pairOrdinary differential equationordinary differential equations0101 mathematicsAnalysisOrdinary differential equationMathematicsdescription
We establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic φ-condensing operators in Banach spaces to guarantee the existence of best proximity points, and so, an extension of Darbo’s fixed point theorem will be concluded. As an application of our results, we study the existence of a global optimal solution for a system of ordinary differential equations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-11-01 | Nonlinear Analysis |