Hybrid Proximal-Point Methods for Common Solutions of Equilibrium Problems and Zeros of Maximal Monotone Operators

L. C. Ceng (), G. Mastroeni and J. C. Yao ()
Additional contact information
L. C. Ceng: Shanghai Normal University
G. Mastroeni: University of Pisa
J. C. Yao: National Sun Yat-sen University

Journal of Optimization Theory and Applications, 2009, vol. 142, issue 3, No 1, 449 pages

Abstract: Abstract The purpose of this paper is to introduce and study two hybrid proximal-point algorithms for finding a common element of the set of solutions of an equilibrium problem and the set of solutions to the equation 0∈Tx for a maximal monotone operator T in a uniformly smooth and uniformly convex Banach space X. Strong and weak convergence results of these two hybrid proximal-point algorithms are established, respectively.

Keywords: Hybrid proximal-point algorithms; Equilibrium problem; Maximal monotone operators; Uniformly smooth and uniformly convex Banach spaces; Strong convergence; Weak convergence; Generalized projection (search for similar items in EconPapers)
Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-009-9538-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:142:y:2009:i:3:d:10.1007_s10957-009-9538-z

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-009-9538-z

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().