Research Communication | Open Access
Volume 2019 | Communication ID 63
Volume 2019 | Communication ID 63
| Some results on Tricyclic mappings |
Taoufik Sabar, Abdelhafid Bassou, Mohamed Aamri
Received |
Accepted |
Published |
Jan 17, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: A tricyclic mapping T is defined on the union of three subsets A,B and C of a metric space, that satisfies T(A)⊆B, T(B)⊆C and T(C)⊆A. Taking inspiration from the recent work by the current authors. We shall discuss existence of best proximity points of both tricyclic contractions and tricyclic relatively nonexpansive mapping in different subclasses of metric spaces. First, we introduce the concept of (S) convex metric spaces, those are convex metric spaces whose convex structure fulfills an additional condition, and thereby we acquire a best proximity point theorem for tricyclic ...