数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (3): 791-804.doi: 10.1016/S0252-9602(18)30784-7

• 论文 • 上一篇    下一篇

PRODUCTS OF RESOLVENTS AND MULTIVALUED HYBRID MAPPINGS IN CAT(0) SPACES

Gholamreza ZAMANI ESKANDANI, Soheila AZARMI, Masoumeh RAEISI   

  1. Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
  • 收稿日期:2017-02-10 修回日期:2017-05-25 出版日期:2018-06-25 发布日期:2018-06-25
  • 作者简介:Gholamreza ZAMANI ESKANDANI,E-mail:zamani@tabrizu.ac.ir;Soheila AZARMI,E-mail:s.azarmi2008@gmail.com;Masoumeh RAEISI,E-mail:m.raeisi@tabrizu.ac.ir

PRODUCTS OF RESOLVENTS AND MULTIVALUED HYBRID MAPPINGS IN CAT(0) SPACES

Gholamreza ZAMANI ESKANDANI, Soheila AZARMI, Masoumeh RAEISI   

  1. Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
  • Received:2017-02-10 Revised:2017-05-25 Online:2018-06-25 Published:2018-06-25

摘要:

In this article, we introduce and investigate the concept of multivalued hybrid mappings in CAT(0) spaces by using the concept of quasilinearization. Also, we present a new iterative algorithm involving products of Moreau-Yosida resolvents for finding a common element of the set of minimizers of a finite family of convex functions and a common fixed point of two multivalued hybrid mappings in CAT(0) spaces.

关键词: Multivalued hybrid mappings, convex optimization, CAT(0) spaces

Abstract:

In this article, we introduce and investigate the concept of multivalued hybrid mappings in CAT(0) spaces by using the concept of quasilinearization. Also, we present a new iterative algorithm involving products of Moreau-Yosida resolvents for finding a common element of the set of minimizers of a finite family of convex functions and a common fixed point of two multivalued hybrid mappings in CAT(0) spaces.

Key words: Multivalued hybrid mappings, convex optimization, CAT(0) spaces