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

محورهای موضوعی : 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

تاریخ دریافت : 1396/08/08 تاریخ پذیرش : 1396/10/01 تاریخ انتشار : 1396/09/10

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

چکیده مقاله :

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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