Browsing by Author "Gabeleh, Moosa"

Cyclic pairs and common best proximity points in uniformly convex Banach spaces

Gabeleh, Moosa; Mary, P. Julia; Eldred, A. Anthony Eldred; Otafudu, Olivier Olela (De Gruyter, 2017)

In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the ...

Generalized pointwise noncyclic relativity nonexpansive mappings in strictly convex banach

Gabeleh, Moosa; Otafudu, Olivier Olela (Yokohama Publishers, 2016)

Nonconvex proximal normal structure in convex metric spaces

Gabeleh, Moosa; Otafudu, Olivier Olela (Duke University Press, 2016)

Given that A and B are two nonempty subsets of the convex metric space (X,d,W), a mapping T:A∪B→A∪B is noncyclic relatively nonexpansive, provided that T(A)⊆A, T(B)⊆B, and d(Tx,Ty)≤d(x,y) for all (x,y)∈A×B. A point (p,q)∈A×B ...