A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method. (20th October 2021)

• Record Type: Journal Article
• Authors: Orouji, Bijan; Soori, Ebrahim; O'Regan, Donal; Agarwal, Ravi P.
• Other Names: Rafeiro Humberto Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-10-20
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/9551162
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, using a new shrinking projection method and new generalized k -demimetric mappings, we consider the strong convergence for finding a common point of the sets of zero points of maximal monotone mappings, common fixed points of a finite family of Bregman k -demimetric mappings, and common zero points of a finite family of Bregman inverse strongly monotone mappings in a reflexive Banach space. To the best of our knowledge, such a theorem for Bregman k -demimetric mapping is the first of its kind in a Banach space. This manuscript is online on arXiv by the link http://arxiv.org/abs/2107.13254 .