scholarly journals Generalized projections in Zn

2019 ◽  
Vol 16 (1) ◽  
pp. 1-7
Author(s):  
A.S. Khairnar ◽  
B.N. Waphare
Keyword(s):  
Generalized Projections

scholarly journals Convergence theorems for generalized projections and maximal monotone operators in Banach spaces

2003 ◽  
Vol 2003 (10) ◽  
pp. 621-629 ◽  
Author(s):  
Takanori Ibaraki ◽  
Yasunori Kimura ◽  
Wataru Takahashi
Keyword(s):  
Banach Space ◽  
Pointwise Convergence ◽  
Maximal Monotone ◽  
Maximal Monotone Operators ◽  
Monotone Operators ◽  
Convex Banach Space ◽  
Limit Set ◽  
Strong And Weak Convergence ◽  
Strictly Convex Banach Space ◽  
Generalized Projections

We study a sequence of generalized projections in a reflexive, smooth, and strictly convex Banach space. Our result shows that Mosco convergence of their ranges implies their pointwise convergence to the generalized projection onto the limit set. Moreover, using this result, we obtain strong and weak convergence of resolvents for a sequence of maximal monotone operators.

A New Generalized Projections Algorithm Geared Towards Sub-100 Attosecond Pulse Characterization

2009 ◽  
pp. 911-913
Author(s):  
Justin Gagnon ◽  
Vladislav S. Yakovlev ◽  
Eleftherios Goulielmakis ◽  
Martin Schultze ◽  
Ferenc Krausz
Keyword(s):  
Attosecond Pulse ◽  
Generalized Projections ◽  
Pulse Characterization

scholarly journals Generalized Projections on Closed Nonconvex Sets in Uniformly Convex and Uniformly Smooth Banach Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Messaoud Bounkhel
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Convex Set ◽  
Variational Problems ◽  
Generalized Projection ◽  
Uniformly Convex ◽  
Uniformly Smooth ◽  
Nonconvex Sets ◽  
Generalized Projections ◽  
Uniformly Smooth Banach Spaces

The present paper is devoted to the study of the generalized projectionπK:X∗→K, whereXis a uniformly convex and uniformly smooth Banach space andKis a nonempty closed (not necessarily convex) set inX. Our main result is the density of the pointsx∗∈X∗having unique generalized projection over nonempty close sets inX. Some minimisation principles are also established. An application to variational problems with nonconvex sets is presented.

scholarly journals Multiconstrained gene clustering based on generalized projections

2010 ◽  
Vol 11 (1) ◽  
Author(s):  
Jia Zeng ◽  
Shanfeng Zhu ◽  
Alan Wee-Chung Liew ◽  
Hong Yan
Keyword(s):  
Gene Clustering ◽  
Generalized Projections

A note on generalized projections in c0

2014 ◽  
Vol 111 (1) ◽  
pp. 59-72
Author(s):  
Beata Deręgowska ◽  
Barbara Lewandowska
Keyword(s):  
Generalized Projections
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