A general iterative method for addressing mixed equilibrium problems and optimization problems

2010 ◽  
Vol 73 (5) ◽  
pp. 1180-1202 ◽  
Author(s):  
Chaichana Jaiboon ◽  
Poom Kumam
Keyword(s):  
Iterative Method ◽  
Equilibrium Problems ◽  
Optimization Problems ◽  
Mixed Equilibrium Problems ◽  
Mixed Equilibrium ◽  
General Iterative Method

An Iterative Method for Mixed Equilibrium Problems and Fixed Points

2012 ◽  
Vol 263-266 ◽  
pp. 283-286 ◽  
Author(s):  
Qiao Hong Jiang
Keyword(s):  
Fixed Point ◽  
Iterative Method ◽  
Fixed Points ◽  
Equilibrium Problems ◽  
Nonexpansive Mappings ◽  
Engineering Calculation ◽  
Common Element ◽  
Rounding Errors ◽  
Mixed Equilibrium Problems ◽  
Mixed Equilibrium

Fixed point computation plays an important role in the field of engineering calculation. Rounding errors often cause no convergence for iteration sequence or results distortion in many fixed point iterative method. In this paper, we prove the strong convergence of an iterative method for finding a common element of the set of olutions of mixed equilibrium problems and the set of fixed points of a finite family of nonexpansive mappings under some suitable conditions. Result presented in this paper improves and extends the recent known results in this area.

scholarly journals Mixed equilibrium problems and optimization problems

2009 ◽  
Vol 354 (1) ◽  
pp. 319-329 ◽  
Author(s):  
Yonghong Yao ◽  
M. Aslam Noor ◽  
S. Zainab ◽  
Yeong-Cheng Liou
Keyword(s):  
Equilibrium Problems ◽  
Optimization Problems ◽  
Mixed Equilibrium Problems ◽  
Mixed Equilibrium
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