Open Access"An accelerated Visco-Cesaro means Tseng Type splitting method for fixed point and monotone inclusion problems"
Author(s) -
Yasir Arfat,
Poom Kumam,
Muhammad Aqeel Ahmad Khan,
PARINYA SA NGIAMSUNTHORN
Publication year - 2022
Publication title -
carpathian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.812
H-Index - 25
eISSN - 1843-4401
pISSN - 1584-2851
DOI - 10.37193/cjm.2022.02.02
Subject(s) - monotone polygon , mathematics , convergence (economics) , fixed point , viscosity , hilbert space , type (biology) , set (abstract data type) , iterative method , acceleration , algorithm , mathematical optimization , computer science , mathematical analysis , ecology , physics , geometry , quantum mechanics , classical mechanics , economics , biology , programming language , economic growth
"In this paper, we study a variant of Tseng’s splitting method for monotone inclusion problem and fixed point problem associated with a finite family of η-demimetric mappings in Hilbert spaces. The proposed algorithm is based on the combination of classical Tseng’s method together with the viscosity Ces´aro means method and the Nesterov’s acceleration method. The proposed iterative method exhibits accelerated strong convergence characteristics under suitable set of control conditions in such framework. Finally, we provide a numerical example to illustrate the applicability of the proposed algorithm as well as some useful abstract applications."