Common best proximity points for $(\psi-\phi)$-generalized weak proximal contraction type mappings
محورهای موضوعی : Fixed point theory
K. K. M. Sarma
1
(Department of Mathematics, Andhra University, India)
G. Yohannes
2
(Department of Mathematics, Wolkite University, Ethiopia)
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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