Nihonkai Mathematical Journal

Generalized split feasibility problem governed by widely more generalized hybrid mappings in Hilbert spaces

Mayumi Hojo and Wataru Takahashi

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

Generalized split feasibility problem governed by a widely more generalized hybrid mapping is studied. In particular, strong convergence of this algorithm is proved. As tools, resolvents of maximal monotone operators are technically maneuvered to facilitate the argument of the proof to the main result. Applications to iteration methods for various nonlinear mappings and to equilibrium problem are included.

Article information

Source
Nihonkai Math. J., Volume 25, Number 2 (2014), 127-146.

Dates
First available in Project Euclid: 26 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.nihmj/1427390303

Mathematical Reviews number (MathSciNet)
MR3326632

Zentralblatt MATH identifier
06431055

Subjects
Primary: 47H05: Monotone operators and generalizations 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc. 47H20: Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07]

Keywords
Maximal monotone operator inverse strongly monotone mapping widely more generalized hybrid mapping fixed point strong convergence theorem equilibrium problem split feasibility problem

Citation

Hojo, Mayumi; Takahashi, Wataru. Generalized split feasibility problem governed by widely more generalized hybrid mappings in Hilbert spaces. Nihonkai Math. J. 25 (2014), no. 2, 127--146. https://projecteuclid.org/euclid.nihmj/1427390303


Export citation