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

Ebrahim Soori | Zendy; Mohammad Reza Omidi | Zendy; Ali Farajzadeh | Zendy; Yuanheng Wang | Zendy

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An Implicit Algorithm for Finding a Fixed Point of a

Q

-Nonexpansive Mapping in Locally Convex Spaces

Author(s) -

Ebrahim Soori,

Mohammad Reza Omidi,

Ali Farajzadeh,

Yuanheng Wang

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/9913909

Subject(s) - mathematics , regular polygon , convergence (economics) , fixed point , order (exchange) , scheme (mathematics) , discrete mathematics , combinatorics , mathematical analysis , geometry , economics , economic growth , finance

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.

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