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.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|