2019/08/20 by Gupta, Anuradha, Rohilla, Manu
#41A65 #47H09 #47H10 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1908.07225
For two nonempty, closed, bounded and convex subsets A and B of a uniformly convex Banach space X consider a mapping T:(A × B) ∪ (B × A) → A ∪ B satisfying T(A,B) ⊂ B and T(B, A) ⊂ A. In this paper the existence of a coupled best proximity point is established when T is considered to be a p-cyclic contraction mapping and a p-cyclic nonexpansive mapping. The Ulam-Hyers stability of the best proximity point problem is also studied.