Open AccessA viscosity iterative algorithm for the optimization problem system
Author(s) -
Hamid Reza Sahebi,
Sara Ebrahimi
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1708249s
Subject(s) - mathematics , variational inequality , viscosity , semigroup , iterative method , set (abstract data type) , element (criminal law) , algorithm , fixed point , mathematical optimization , optimization problem , mathematical analysis , computer science , physics , quantum mechanics , political science , law , programming language
In this paper, we suggest and analysis a viscosity iterative algorithm for finding a common element of the set of solution of a mixed equilibrium problem and the set the of solutions of a variational inequality and all common fixed points of a nonexpansive semigroup. This algorithm strongly converges to an element which solves an optimization problem system. Finally, some examples and numerical results are also given.