Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (3): 791-804.doi: 10.1016/S0252-9602(18)30784-7

• Articles • Previous Articles     Next Articles

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

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

Trendmd