A MODIFIED PROXIMAL POINT ALGORITHM FOR SOLVING A CLASS OF VARIATIONAL INCLUSIONS IN BANACH SPACES

- Journal title : Journal of applied mathematics & informatics
- Volume 33, Issue 3_4, 2015, pp.401-415
- Publisher : The Korean Society of Computational and Applied Mathematics
- DOI : 10.14317/jami.2015.401

Title & Authors

A MODIFIED PROXIMAL POINT ALGORITHM FOR SOLVING A CLASS OF VARIATIONAL INCLUSIONS IN BANACH SPACES

LIU, YING;

LIU, YING;

Abstract

In this paper, we propose a modified proximal point algorithm which consists of a resolvent operator technique step followed by a generalized projection onto a moving half-space for approximating a solution of a variational inclusion involving a maximal monotone mapping and a monotone, bounded and continuous operator in Banach spaces. The weak convergence of the iterative sequence generated by the algorithm is also proved.

Keywords

maximal monotone mapping;generalized projection;resolvent technique;normalized duality mapping;variational inclusions;

Language

English

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