Alternative formulation and applications aspects of the generalized projection method for array antenna synthesis

2009 ◽  
Vol 19 (6) ◽  
pp. 657-668 ◽  
Author(s):  
E. Botha ◽  
J. Joubert ◽  
D. A. McNamara
Keyword(s):  
Projection Method ◽  
Array Antenna ◽  
Generalized Projection ◽  
Alternative Formulation ◽  
Antenna Synthesis ◽  
Generalized Projection Method

scholarly journals Strong Convergence Theorems for Asymptotically WeakG-Pseudo-Ψ-Contractive Non-Self-Mappings with the Generalized Projection in Banach Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Yuanheng Wang
Keyword(s):  
Banach Space ◽  
Strong Convergence ◽  
Approximation Method ◽  
Generalized Projection ◽  
Iterative Sequence ◽  
Successive Approximation Method ◽  
Convergence Theorems ◽  
Mann Iterative Sequence ◽  
Sequence Method ◽  
Generalized Projection Method

A new concept of the asymptotically weakG-pseudo-Ψ-contractive non-self-mappingT:G↦Bis introduced and some strong convergence theorems for the mapping are proved by using the generalized projection method combined with the modified successive approximation method or with the modified Mann iterative sequence method in a uniformly and smooth Banach space. The proof methods are also different from some past common methods.

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