A New Class Of Generalized Monotone Mappings And Variational Inclusion Problems In Banach Spaces

Keywords

2-uniformly smooth banach space; Generalized resolvent operator; H-co-monotone mapping; Semi-inner product space; Variational inclusion

Abstract

With the aim to solve a new type of variational inclusion problem, we have introduced a new class of generalized monotone mappings. The new type of generalized monotone mapping named as H-Co-monotone mapping is the sum of a symmetric cocoercive mapping and a symmetric monotone mapping. The generalized resolvent operator associated with the H-Co-monotone mapping is defined. Applying the generalized resolvent operator technique the new type of variational inclusion problem is solved in 2- uniformly smooth Banach spaces. An iterative algorithm is developed to approximate the solution. Finally, the convergence analysis of the proposed algorithm is accomplished.

Publication Date

1-1-2016

Publication Title

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volume

23

Issue

6

Number of Pages

447-463

Document Type

Article

Personal Identifier

scopus

Socpus ID

85008193387 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85008193387

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