scholarly journals Strong convergence theorem for a generalized equilibrium problem and system of variational inequalities problem and infinite family of strict pseudo-contractions

2011 ◽  
Vol 2011 (1) ◽  
Author(s):  
Atid Kangtunyakarn
Keyword(s):  
Variational Inequalities ◽  
Strong Convergence ◽  
Equilibrium Problem ◽  
Convergence Theorem ◽  
Infinite Family ◽  
Strong Convergence Theorem ◽  
Generalized Equilibrium Problem ◽  
System Of Variational Inequalities ◽  
Generalized Equilibrium

scholarly journals Iterative approximations with hybrid techniques for fixed points and equilibrium problems

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1997-2009
Author(s):  
Afrah Abdou ◽  
Badriah Alamri ◽  
Yeol Cho ◽  
Li-Jun Zhu
Keyword(s):  
Fixed Point ◽  
Strong Convergence ◽  
Convergence Theorem ◽  
Equilibrium Problems ◽  
Fixed Point Problem ◽  
Strong Convergence Theorem ◽  
Point Problem ◽  
Hybrid Techniques ◽  
Contractive Mappings ◽  
Generalized Equilibrium

In this paper, we consider an iterative algorithm by using the shrinking projection method for solving the fixed point problem of the pseudo-contractive mappings and the generalized equilibrium problems. We prove some lemmas for our main result and a strong convergence theorem for the proposed algorithm.

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