A New Hybrid Algorithm for a Pair of Quasi-𝜙-Asymptotically Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces
The purpose of this paper is, by using a new hybrid method, to prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problem, the set of solutions for a variational inequality problem, and the set of common fixed points for a pair...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/956852 |
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| Summary: | The purpose of this paper is, by using a new hybrid method, to prove a strong
convergence theorem for finding a common element of the set of solutions for a generalized
mixed equilibrium problem, the set of solutions for a variational inequality problem, and
the set of common fixed points for a pair of quasi-𝜙-asymptotically nonexpansive mappings.
Under suitable conditions some strong convergence theorems are established in a uniformly
smooth and strictly convex Banach space with Kadec-Klee property. The results presented
in the paper improve and extend some recent results. |
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| ISSN: | 0161-1712 1687-0425 |