An iterative algorithm by viscosity approximation method for mixed equilibrium problems, variational inclusion and fixed point of an infinite family of pseudo-contractive mappings

• Autorzy: Phayap Katchang , Poom Kumam
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to investigate the problem of finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the variational inclusion problems for inverse strongly monotone mappings and the set of common fixed points for an infinite family of strictly pseudo-contractive mappings in the setting of Hilbert spaces. We prove the strong convergence theorem by using the viscosity approximation method for finding the common element of the above four sets. Our results improve and extend the corresponding results of Peng and Yao [Math. Comput. Modelling 49 (2009), 1816-1828], Plubtieng and Sriprad [Fixed Point Theory Appl. 2009, Article ID 567147] and some well-known results in the literature.

Kategorie tematyczne

• 47H09: Contraction-type mappings, nonexpansive mappings, A -proper mappings, etc.
• 47D03: Groups and semigroups of linear operators
• 47H20: Semigroups of nonlinear operators
• 47H10: Fixed-point theorems
• 46C05: Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 92
• Numer: 1
• Strony: 177-196

Daty

wydano

2011

Twórcy

autor

Phayap Katchang

• Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Bangkok 10140, Thailand

autor

Poom Kumam

• Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Bangkok 10140, Thailand
• Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd., Bangkok 10400, Thailand

Identyfikatory

DOI

10.4064/bc92-0-12