Generalized hybrid algorithms for fixed point and mixed equilibrium problems in Banach spaces

Volume 9, Issue 12, pp 6312--6332 http://dx.doi.org/10.22436/jnsa.009.12.33

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Authors

Yinglin Luo - Department of Mathematics, Tianjin Polytechnic University, 300387, China. Yongfu Su - Department of Mathematics, Tianjin Polytechnic University, 300387, China. Wenbiao Gao - Department of Mathematics, Tianjin Polytechnic University, 300387, China.

Abstract

The purpose of this paper is to introduce and investigate a more generalized hybrid shrinking projection algorithm for finding a common solution for a system of generalized mixed equilibrium problems. A accelerated strong convergence theorem of common solutions is established in the framework of a non-uniformly convex Banach space. These new results improve and extend the previously known ones in the literature.

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Keywords

• Hybrid projection algorithm
• monotone mapping
• equilibrium problem
• variational inequality
• quasi-nonexpansive mapping
• fixed point.

MSC

•  47H05
•  47H09
•  47H10

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