Global optimal solution for a system of differential equations via measure of noncompactness
Abstract
In this paper, we use a measure of noncompactness to give some best proximity point and best proximity pair results for cyclic (noncyclic) operators. As a consequence of our findings, we obtain an extension of Darbo’s fixed point theorem. Furthermore, we investigate the existence of an optimal solution for a system of ordinary differential equations as an application of our results.
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References
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