Right Bregman nonexpansive operators in Banach spaces

Description

We introduce and study new classes of Bregman nonexpansive operators in reflexive Banach spaces. These classes of operators are associated with the Bregman distance induced by a convex function. In particular, we characterize sunny right quasi-Bregman nonexpansive retractions, and as a consequence we show that the fixed point set of any right quasi-Bregman nonexpansive operator is a sunny right quasi-Bregman nonexpansive retract of the ambient Banach space.

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Dirección General de Enseñanza Superior

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Junta de Andalucía

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Israel Science Foundation

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Graduate School of the Technion

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Fund for the Promotion of Research at the Technion

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Technion VPR Fund

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