|
|
|
|
Generalized projections on closed nonconvex sets in uniformly convex and uniformly smooth Banach spaces
|
|
|
|
|
|
|
|
نویسنده
|
bounkhel m.
|
|
منبع
|
journal of function spaces - 2015 - دوره : 2015 - شماره : 0
|
|
چکیده
|
The present paper is devoted to the study of the generalized projection πk:x∗→k,where x is a uniformly convex and uniformly smooth banach space and k is a nonempty closed (not necessarily convex) set in x. our main result is the density of the points x∗∈x∗ having unique generalized projection over nonempty close sets in x. some minimisation principles are also established. an application to variational problems with nonconvex sets is presented. © 2015 messaoud bounkhel.
|
|
|
|
|
آدرس
|
department of mathematics,college of science,king saud university,p.o. box 2455, Saudi Arabia
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|