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In this paper, we consider the KKM maps defined for a nonself map and the correlated intersection theorems in Hadamard manifolds. We also study some applications of the intersection results. Our outputs improved the results of Raj and Somasundaram [17, V. Sankar Raj and S. Somasundaram, KKM-type theorems for best proximity points, Appl. Math. Lett., 25(3):496-499, 2012.]. 2010 MSC: 53C22; 53C25; 47H04.doi:10.4995/agt.2015.2305 fatcat:luhuirtxovbqzoxwqikrktz7wm