Open AccessViscosity approximation methods for quasi-nonexpansive mappings in Banach spaces
Author(s) -
Prashant Patel,
Rajendra Pant
Publication year - 2021
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/fil2109113p
Subject(s) - mathematics , banach space , variational inequality , viscosity , convergence (economics) , fixed point , set (abstract data type) , scheme (mathematics) , space (punctuation) , pure mathematics , mathematical analysis , computer science , physics , economics , programming language , economic growth , operating system , quantum mechanics
In this article, we present viscosity approximation methods for finding a common point of the set of solutions of a variational inequality problem and the set of fixed points of a multi-valued quasinonexpansive mapping in a Banach space. We also discuss some examples to illustrate facts and study the convergence behaviour of the iterative schemes presented herein, numerically.