scholarly journals An Implicit Algorithm for Finding a Fixed Point of a Q -Nonexpansive Mapping in Locally Convex Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
E. Soori ◽  
M.R. Omidi ◽  
A.P. Farajzadeh ◽  
Yuanheng Wang
Keyword(s):  
Fixed Point ◽  
Nonexpansive Mapping ◽  
Implicit Scheme ◽  
Implicit Method ◽  
Locally Convex Spaces ◽  
Implicit Algorithm ◽  
Duality Mappings ◽  
Locally Convex ◽  
Convex Spaces

In this paper, the notion of the q -duality mappings in locally convex spaces is introduced. An implicit method for finding a fixed point of a Q -nonexpansive mapping is provided. Finally, the convergence of the proposed implicit scheme is investigated. Some examples in order to illustrate of the main results are presented.

scholarly journals An extension of a theorem of Sahab, Khan, and Sessa

2001 ◽  
Vol 27 (11) ◽  
pp. 701-706 ◽  
Author(s):  
A. R. Khan ◽  
N. Hussain
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Locally Convex Spaces ◽  
Invariant Approximation ◽  
Recent Theorem ◽  
Locally Convex ◽  
Convex Spaces

A fixed point theorem of Fisher and Sessa is generalized to locally convex spaces and the new result is applied to extend a recent theorem on invariant approximation of Sahab, Khan, and Sessa.

scholarly journals A fixed point theorem in locally convex spaces

2010 ◽  
Vol 61 (2) ◽  
pp. 223-239 ◽  
Author(s):  
Vladimir Kozlov ◽  
Johan Thim ◽  
Bengt Ove Turesson
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Locally Convex Spaces ◽  
Locally Convex ◽  
Convex Spaces
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