Bregman f‐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, issue 1

Abstract: 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 differentiable function; and C is a nonempty, closed, and convex subset of E. The existence of a solution for a class of variational inequalities in Banach spaces is presented.

Date: 2014
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https://doi.org/10.1155/2014/594285

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:594285

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