Iterative Methods for Family of Strictly Pseudocontractive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems
<p/> <p>We introduce a new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of <inline-formula> <graphic file="1687-1812-2011-852789-i1.gif"/></inline-formula>-strictly pseudocontractive mappin...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/852789 |
| Summary: | <p/> <p>We introduce a new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of <inline-formula> <graphic file="1687-1812-2011-852789-i1.gif"/></inline-formula>-strictly pseudocontractive mappings and the set of common solutions to a system of generalized mixed equilibrium problems and the set of solutions to a variational inequality problem in a real Hilbert space. We then prove strong convergence of the scheme to a common element of the three above described sets. We give an application of our results. Our results extend important recent results from the current literature.</p> |
|---|---|
| ISSN: | 1687-1820 1687-1812 |