A new approximation method for finding common elements of equilibrium problems, variational inequality problems and fixed point problems of nonspreading mappings

2016 ◽  
Vol 111 (4) ◽  
pp. 1105-1115 ◽  
Author(s):  
Kanyarat Cheawchan ◽  
Withun Phuengrattana ◽  
Atid Kangtunyakarn
Keyword(s):  
Fixed Point ◽  
Variational Inequality ◽  
Approximation Method ◽  
Equilibrium Problems ◽  
Variational Inequality Problems ◽  
Fixed Point Problems ◽  
Common Elements ◽  
Nonspreading Mappings

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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