A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-𝜙-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space
The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-𝜙-asymptotically nonexpansive mappings, and null spaces of finite fami...
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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/10.1155/2011/106323 |
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| Summary: | The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-𝜙-asymptotically nonexpansive mappings, and null spaces of finite family of 𝛾-inverse strongly monotone mappings in a
2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors. |
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| ISSN: | 0161-1712 1687-0425 |