duality mappings
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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.

Convexity, Smoothness, and Duality Mappings

2009 ◽  
pp. 49-125 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Donal O’Regan ◽  
D.R. Sahu
Keyword(s):  
Duality Mappings
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