scholarly journals A New Hybrid Iterative Method for Solving Fixed Points Problems for a Finite Family of Multivalued Strictly Pseudo-Contractive Mappings and Convex Minimization Problems in Real Hilbert Spaces

2021 ◽  
pp. 95-107
Author(s):  
Thierno SOW
Keyword(s):  
Iterative Method ◽  
Fixed Points ◽  
Hilbert Spaces ◽  
Finite Family ◽  
Convex Minimization ◽  
Minimization Problems ◽  
Contractive Mappings ◽  
Convex Minimization Problems ◽  
Hybrid Iterative Method

scholarly journals A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14
Author(s):  
Ming Tian ◽  
Min-Min Li
Keyword(s):  
Hilbert Spaces ◽  
Gradient Projection ◽  
Convex Minimization ◽  
Projection Algorithm ◽  
Constrained Convex Minimization ◽  
Minimization Problems ◽  
Gradient Projection Algorithm ◽  
Convex Minimization Problems ◽  
Averaged Mappings ◽  
General Iterative Method

It is well known that the gradient-projection algorithm (GPA) is very useful in solving constrained convex minimization problems. In this paper, we combine a general iterative method with the gradient-projection algorithm to propose a hybrid gradient-projection algorithm and prove that the sequence generated by the hybrid gradient-projection algorithm converges in norm to a minimizer of constrained convex minimization problems which solves a variational inequality.

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