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

Chin-Tzong Pang, Eskandar Naraghirad and Ching-Feng Wen

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

Using Bregman functions, we introduce the new concept of Bregman generalized -projection operator , where is a reflexive Banach space with dual space is a proper, convex, lower semicontinuous and bounded from below function; is a strictly convex and Gâteaux differentiable function; and is a nonempty, closed, and convex subset of . The existence of a solution for a class of variational inequalities in Banach spaces is presented.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:594285

DOI: 10.1155/2014/594285

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