Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces

Using Bregman functions, we introduce the new concept of Bregman generalized f-projection operator ProjCf, g:E*→C, where E is a reflexive Banach space with dual space E*; f: E→ℝ∪+∞ is a proper, convex, lower semicontinuous and bounded from below function; g: E→ℝ is a strictly convex and Gâteaux diff...

Full description

Bibliographic Details
Main Authors: Chin-Tzong Pang, Eskandar Naraghirad, Ching-Feng Wen
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/594285