Open Access"A modified Halpern extragradient method for equilibrium and fixed point problems in CAT(0) space"
Author(s) -
Bashir Ali,
M. H. HARBAU,
AUWALU ALI ALASAN
Publication year - 2022
Publication title -
creative mathematics and informatics
Language(s) - English
Resource type - Journals
eISSN - 1843-441X
pISSN - 1584-286X
DOI - 10.37193/cmi.2022.01.01
Subject(s) - intersection (aeronautics) , convergence (economics) , mathematics , fixed point , space (punctuation) , fixed point theorem , set (abstract data type) , point (geometry) , type (biology) , pure mathematics , discrete mathematics , mathematical optimization , mathematical economics , computer science , mathematical analysis , geometry , economics , ecology , aerospace engineering , engineering , biology , programming language , economic growth , operating system
"In this paper, we introduce a modified Halpern extragradient-type algorithm for approximating an element in the intersection of the set of common solutions of equilibrium problems and common fixed points of family of nonexpansive mappings in a complete CAT(0) space. We establish strong convergence theorem that improve and generalize recently announced results in the literature."