|
Title
|
Some properties of the mapping T-mu introduced by a representation in Banach and locally convex spaces
|
|
Type
|
JournalPaper
|
|
Keywords
|
Representation, Nonexpansive, Attractive point, Directed graph, Mean
|
|
Abstract
|
Let S = {T_s : s in S } be a representation of a semigroup S. We show that the mapping T-mu introduced by a mean on a subspace of l-nifinity (S) inherits some properties of S in Banach spaces and locally convex spaces. The notions of Q-G-nonexpansive mapping and Q-G-attractive point in locally convex spaces are introduced. We prove that T_mu is a Q-G-nonexpansive mapping when T_s is Q-G-nonexpansive mapping for each s in S and a point in a locally convex space is Q-G-attractive point of T_mu if it is a Q-G-attractive point of S.
|
|
Researchers
|
Ali Panah Farajzadeh (Third Researcher), Mohammad Reza Omidi (Second Researcher), Ebrahim Soori (First Researcher)
|