Open AccessS-iteration process of Halpern-type for common solutions of nonexpansive mappings and monotone variational inequalities
Author(s) -
D. R. Sahu,
Ajeet Kumar,
ChingFeng Wen
Publication year - 2019
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/fil1906727s
Subject(s) - mathematics , variational inequality , monotone polygon , hilbert space , convergence (economics) , strongly monotone , fixed point , type (biology) , inverse , set (abstract data type) , pure mathematics , discrete mathematics , mathematical analysis , geometry , computer science , ecology , economics , biology , programming language , economic growth
This paper is devoted to the strong convergence of the S-iteration process of Halpern-type for approximating a common element of the set of fixed points of a nonexpansive mapping and the set of common solutions of variational inequality problems formed by two inverse strongly monotone mappings in the framework of Hilbert spaces. We also give some numerical examples in support of our main result.