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Darbo type best proximity point results via simulation function with application

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Primarily this work intends to prove the best proximity point (pair) results using the concept of measure of noncompactness and simulation functions. The obtained results generalize and extend some present… Click to show full abstract

Primarily this work intends to prove the best proximity point (pair) results using the concept of measure of noncompactness and simulation functions. The obtained results generalize and extend some present state of the art on Darbo type fixed point theorems. The main results are applied to actualize the optimum solutions of a system of nonlinear mixed Fredholm–Volterra functional integro-differential equations with local initial conditions.

Keywords: proximity point; darbo type; point; simulation; best proximity

Journal Title: Afrika Matematika
Year Published: 2020

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