Common best proximity points for $(\psi-\phi)$-generalized weak proximal contraction type mappings

Subject Areas : Fixed point theory

K. K. M. Sarma ¹ , G. Yohannes ²

1 - Department of Mathematics, Andhra University, India
2 - Department of Mathematics, Wolkite University, Ethiopia

Received: 2017-10-30 Accepted : 2017-12-22 Published : 2017-12-01

Keywords: Best proximity point, common best proximity points, lower semi continuous functions, (ψ − ϕ)-generalized proximal contraction,

Abstract :

In this paper, we introduce a pair of generalized proximal contraction mappings and prove theexistence of a unique best proximity point for such mappings in a complete metric space. Weprovide examples to illustrate our result. Our result extends some of the results in the literature.

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