Best Proximity Points for Generalized α - ψ -Proximal Contractive Type Mappings

Mohamed Jleli; Erdal Karapınar; Bessem Samet

doi:10.1155/2013/534127

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Home > Journals > J. Appl. Math. > Volume 2013 > Issue SI21 > Article

2013 Best Proximity Points for Generalized

\mathbf{\alpha }\text{-}\mathbf{\psi }

-Proximal Contractive Type Mappings

Mohamed Jleli, Erdal Karapınar, Bessem Samet

J. Appl. Math. 2013(SI21): 1-10 (2013). DOI: 10.1155/2013/534127

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Abstract

We introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.

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Mohamed Jleli. Erdal Karapınar. Bessem Samet. "Best Proximity Points for Generalized $\mathbf{\alpha }\text{-}\mathbf{\psi }$ -Proximal Contractive Type Mappings." J. Appl. Math. 2013 (SI21) 1 - 10, 2013. https://doi.org/10.1155/2013/534127