Tripartite coincidence-best proximity points in generalized metric spaces

Autor: Norouzian, Masoud, Abkar, Ali
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: We first introduce a notion of convex structure in generalized metric spaces, then we introduce tripartite contractions, tripartite semi-contractions, tripartite coincidence points, as well as tripartite best proximity points for a given triple $(K;S;T)$ of nonlinear mappings defined on the union $A\cup B\cup C$ of closed subsets of a generalized metric space. We prove theorems on the existence and convergence of tripartite coincidence-best proximity points.
Comment: 22 pages
Databáze: arXiv