scholarly journals A constraint shifting homotopy method for computing fixed points on nonconvex sets

2016 ◽  
Vol 09 (06) ◽  
pp. 3850-3857 ◽  
Author(s):  
Zhichuan Zhu ◽  
Li Yang
Keyword(s):  
Fixed Points ◽  
Homotopy Method ◽  
Nonconvex Sets

scholarly journals Random Fixed Points and Random Approximations in Nonconvex Domains

2002 ◽  
Vol 15 (3) ◽  
pp. 247-253 ◽  
Author(s):  
Abdul Rahim Khan ◽  
A. B. Thaheem ◽  
Nawab Hussain
Keyword(s):  
Fixed Point ◽  
Vector Space ◽  
Fixed Points ◽  
Topological Vector Space ◽  
Fixed Point Theorems ◽  
Random Fixed Points ◽  
Invariant Approximation ◽  
Nonconvex Sets ◽  
Nonconvex Domains

Stochastic generalizations of some fixed point theorems on a class of nonconvex sets in a locally bounded topological vector space are established. As applications, Brosowski-Meinardus type theorems about random invariant approximation are obtained. This work extends or provides stochastic versions of several well known results.

scholarly journals Fixed points of asymptotically regular nonexpansive mappings on nonconvex sets

2003 ◽  
Vol 2003 (2) ◽  
pp. 83-91 ◽  
Author(s):  
Wieslawa Kaczor
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Points ◽  
Banach Spaces ◽  
Pairwise Disjoint ◽  
Nonexpansive Mappings ◽  
Point Property ◽  
Nonconvex Sets ◽  
Opial’S Property ◽  
Asymptotically Regular

It is shown that ifXis a Banach space andCis a union of finitely many nonempty, pairwise disjoint, closed, and connected subsets{Ci:1≤i≤n }ofX, and eachCihas the fixed-point property (FPP) for asymptotically regular nonexpansive mappings, then any asymptotically regular nonexpansive self-mapping ofChas a fixed point. We also generalize the Goebel-Schöneberg theorem to some Banach spaces with Opial's property.

Fixed points and equilibria in nonconvex sets

1995 ◽  
Vol 25 (2) ◽  
pp. 145-161 ◽  
Author(s):  
F.H. Clarke ◽  
Yu.S. Ledyaev ◽  
R.J. Stern
Keyword(s):  
Fixed Points ◽  
Nonconvex Sets
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