scholarly journals Exceptional family of elements and solvability of variational inequalities for mappings defined only on closed convex cones in Banach spaces

2005 ◽  
Vol 310 (1) ◽  
pp. 254-261 ◽  
Author(s):  
Jinlu Li ◽  
John Whitaker
Keyword(s):  
Variational Inequalities ◽  
Banach Spaces ◽  
Convex Cones ◽  
Exceptional Family Of Elements ◽  
Exceptional Family

scholarly journals Characterizations of metric projections in Banach spaces and applications

1998 ◽  
Vol 3 (1-2) ◽  
pp. 85-103 ◽  
Author(s):  
Jean-Paul Penot ◽  
Robert Ratsimahalo
Keyword(s):  
Banach Space ◽  
Variational Inequalities ◽  
Banach Spaces ◽  
Convex Subset ◽  
Metric Projection ◽  
Nonempty Closed Convex Subset ◽  
Convex Cones ◽  
Duality Mappings ◽  
Metric Projections ◽  
General Banach Space

This paper is devoted to the study of the metric projection onto a nonempty closed convex subset of a general Banach space. Thanks to a systematic use of semi-inner products and duality mappings, characterizations of the metric projection are given. Applications to decompositions of Banach spaces along convex cones and variational inequalities are presented.

Sign in / Sign up

Export Citation Format

Share Document