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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.

journal of mathematics

An Implicit Algorithm for Finding a Fixed Point of a <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>Q</mi> </math>-Nonexpansive Mapping in Locally Convex Spaces

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

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