Iterative Algorithms for Mixed Equilibrium Problems, System of Quasi-Variational Inclusion, and Fixed Point Problem in Hilbert Spaces
We introduce a new iterative algorithm for approximating a common element of the set of solutions for mixed equilibrium problems, the set of solutions of a system of quasi-variational inclusion, and the set of fixed points of an infinite family of nonexpansive mappings in a real Hilbert space. Stron...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/271208 |
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| Summary: | We introduce a new iterative algorithm for approximating a common element of the set
of solutions for mixed equilibrium problems, the set of solutions of a system of quasi-variational inclusion,
and the set of fixed points of an infinite family of nonexpansive mappings in a real Hilbert space. Strong
convergence of the proposed iterative algorithm is obtained. Our results generalize, extend, and improve
the results of Peng and Yao, 2009, Qin et al. 2010 and many authors. |
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| ISSN: | 1085-3375 1687-0409 |