Best Proximity Results on Condensing Operators via Measure of Noncompactness with Application to Integral Equations

Moosa Gabeleh, Mehdi Asadi, Erdal Karapinar

Abstract

We prove the best proximity point results for condensing operators on C-class of functions, by using a concept of measure of noncompactness. The results are applied to show the existence of a solution for certain integral equations. We express also an illsutrative examples  to indicate the validity of the observed results.