System Of Nonlinear Variational Inclusion Problems With (A, Η-Maximal Monotonicity In Banach Spaces

Keywords

2-uniformly smooth Banach space; Generalized resolvent operator; Semi-inner product space; Variational inclusion

Abstract

This paper deals with a new system of nonlinear variational inclusion problems involving (A, η-maximal relaxed monotone and relative (A, η-maximal monotone mappings in 2-uniformly smooth Banach spaces. Using the generalized resolvent operator technique, the approximation solvability of the proposed problem is investigated. An iterative algorithm is constructed to approximate the solution of the problem. Convergence analysis of the proposed algorithm is investigated. Similar results are also proved for other system of variational inclusion problems involving relative (A, η- maximal monotone mappings and (H, η-maximal monotone mappings.

Publication Date

1-1-2017

Publication Title

Statistics, Optimization and Information Computing

Volume

5

Issue

3

Number of Pages

244-261

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.19139/soic.v5i3.238

Socpus ID

85028644941 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85028644941

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