Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space
Authors:
Open Access
- 22 March 2015
- journal article
- research article
- Published by Wiley in Abstract and Applied Analysis
- Vol. 2015, 1-7
Abstract
In this paper, we study and modify the algorithm of Kraikaew and Saejung for the class of total quasi-asymptotically nonexpansive case so that the strong convergence is guaranteed for the solution of split common fixed-point problems in Hilbert space. Moreover, we justify our result through an example. The results presented in this paper not only extend the result of Kraikaew and Saejung but also extend, improve, and generalize some existing results in the literature.Keywords
Funding Information
- University Putra Malaysia (GP-IBT/2013/9420100)
This publication has 8 references indexed in Scilit:
- On split common fixed point problemsJournal of Mathematical Analysis and Applications, 2014
- Split feasibility problems for total quasi-asymptotically nonexpansive mappingsFixed Point Theory and Applications, 2012
- A note on the split common fixed-point problem for quasi-nonexpansive operatorsNonlinear Analysis, 2011
- The multiple-sets split feasibility problem and its applications for inverse problemsInverse Problems, 2005
- On Projection Algorithms for Solving Convex Feasibility ProblemsSIAM Review, 1996
- A multiprojection algorithm using Bregman projections in a product spaceNumerical Algorithms, 1994
- A fixed point theorem for asymptotically nonexpansive mappingsProceedings of the American Mathematical Society, 1972
- Weak convergence of the sequence of successive approximations for nonexpansive mappingsBulletin of the American Mathematical Society, 1967