Iterative approximation method for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems

2010 ◽  
Vol 51 (1) ◽  
pp. 69-78 ◽  
Author(s):  
Yekini Shehu
Keyword(s):  
Approximation Method ◽  
Equilibrium Problems ◽  
Nonexpansive Mappings ◽  
Finite Family ◽  
Iterative Approximation ◽  
Iterative Approximation Method

scholarly journals An Iterative Approximation Method for a Common Fixed Point of Two Pseudocontractive Mappings

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Habtu Zegeye
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Approximation Method ◽  
Finite Family ◽  
Convex Minimization Problem ◽  
Iterative Approximation ◽  
Pseudocontractive Mappings ◽  
The Common ◽  
Iterative Approximation Method ◽  
Fixed Point Sets

We introduce an iterative process for finding an element in the common fixed point sets of two continuous pseudocontractive mappings. As a consequence, we provide an approximation method for a common fixed point of a finite family of pseudocontractive mappings. Furthermore, our convergence theorem is applied to a convex minimization problem. Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings.

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