PROXIMAL POINTS METHODS FOR GENERALIZED IMPLICIT VARIATIONAL-LIKE INCLUSIONS IN BANACH SPACES

- Journal title : East Asian mathematical journal
- Volume 28, Issue 1, 2012, pp.37-47
- Publisher : Youngnam Mathematical Society
- DOI : 10.7858/eamj.2012.28.1.037

Title & Authors

PROXIMAL POINTS METHODS FOR GENERALIZED IMPLICIT VARIATIONAL-LIKE INCLUSIONS IN BANACH SPACES

He, Xin-Feng; Lou, Jian; He, Zhen;

He, Xin-Feng; Lou, Jian; He, Zhen;

Abstract

In this paper, we study generalized implicit variational-like inclusions and -proximal operator equations in Banach spaces. It is established that generalized implicit variational-like inclusions in real Banach spaces are equivalent to fixed point problems. We also establish relationship between generalized implicit variational-like inclusions and -proximal operator equations. This equivalence is used to suggest a iterative algorithm for solving -proximal operator equations.

Keywords

generalized implicit variational-like inclusions;-Proximal operator;Algorithm;-proximal operator equations;

Language

English

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