Some results on a finite family of Bregman quasi-strict pseudo-contractions

Wang, Zi-Ming¹ ; Wei, Airong²

¹ Department of Foundation, Shandong Yingcai University, Jinan, China
² School of Control Science and Engineering, Shandong University, Jinan, China

Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 3, p. 975-989.

Résumé

The aim of this article is to establish a common fixed point theorem for a finite family of Bregman quasi-strict pseudocontractions in a reflexive Banach space. Applications to equilibrium problems, variational inequality problems, and zero point problems are provided.

Détail

DOI : 10.22436/jnsa.010.03.10

Classification : 65K10, 90C30, 47N10
Keywords: Bregman mapping, generalized projection, variational inequality, reflexivity, hybrid method.

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