Proximal pairs and P-­KKM mappings

Document Type : Original Article


1 Department of Mathematics, Faculty of Science, Imam Khomeini International University, P. O. Box 34149-16818, Qazvin, Iran.

2 Department of Mathematics, College of Basic Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran.


We introduced a new class of multi-valued mappings, called P-KKM mappings, which generalized the notation
of R-KKM maps of Raj and Somasundaram [KKM-type theorem for best proximity points, Applied
Mathematics Letters, 25 (2012), 496-499] and appropriate to best proximity theory. An analog version of
KKM property and a common fixed point theorem is also proved.


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