An Implicit Algorithm for Finding a Fixed Point of a Q-Nonexpansive Mapping in Locally Convex Spaces. (13th August 2021)

• Record Type: Journal Article
• Authors: Soori, E.; Omidi, M.R.; Farajzadeh, A.P.; Wang, Yuanheng
• Other Names: Mitrovic Zoran Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-08-13
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/9913909
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : 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.