scholarly journals Convergence analysis for variational inequality problems and fixed point problems in 2-uniformly smooth and uniformly convex Banach spaces

2012 ◽  
Vol 55 (3-4) ◽  
pp. 538-546 ◽  
Author(s):  
Gang Cai ◽  
Shangquan Bu
Keyword(s):  
Fixed Point ◽  
Variational Inequality ◽  
Convergence Analysis ◽  
Banach Spaces ◽  
Variational Inequality Problems ◽  
Fixed Point Problems ◽  
Uniformly Convex ◽  
Uniformly Smooth ◽  
Uniformly Convex Banach Spaces

CONVERGENCE ANALYSIS ON HYBRID PROJECTION ALGORITHMS FOR EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS

2009 ◽  
Vol 14 (3) ◽  
pp. 335-351 ◽  
Author(s):  
Xiaolong Qin ◽  
Yeol Je Cho ◽  
Shin Min Kang
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Variational Inequality ◽  
Iterative Method ◽  
Convergence Analysis ◽  
Equilibrium Problems ◽  
Variational Inequality Problems ◽  
Fixed Point Problems ◽  
Projection Algorithms

In this paper, we consider an iterative method for equilibrium problems, fixed point problems and variational inequality problems in the framework of Banach space. The results presented in this paper improve and extend the corresponding results announced by many others.

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