An Iterative Method for Solving Split Monotone Variational Inclusion Problems and Finite Family of Variational Inequality Problems in Hilbert Spaces | Zendy

Wanna Sriprad | Zendy; Somnuk Srisawat | Zendy

Open Access

An Iterative Method for Solving Split Monotone Variational Inclusion Problems and Finite Family of Variational Inequality Problems in Hilbert Spaces

Author(s) -

Wanna Sriprad,

Somnuk Srisawat

Publication year - 2021

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2021/4273851

Subject(s) - variational inequality , hilbert space , mathematics , monotone polygon , convergence (economics) , strongly monotone , finite element method , set (abstract data type) , weak convergence , mathematical optimization , mathematical analysis , computer science , physics , geometry , economics , thermodynamics , programming language , economic growth , computer security , asset (computer security)

The purpose of this paper is to study the convergence analysis of an intermixed algorithm for finding the common element of the set of solutions of split monotone variational inclusion problem (SMIV) and the set of a finite family of variational inequality problems. Under the suitable assumption, a strong convergence theorem has been proved in the framework of a real Hilbert space. In addition, by using our result, we obtain some additional results involving split convex minimization problems (SCMPs) and split feasibility problems (SFPs). Also, we give some numerical examples for supporting our main theorem.

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