Continuous selections for pseudo-lower semicontinuous set-valued mappings on convex structure spaces and hyperspace contractibility

1997 ◽  
Vol 42 (14) ◽  
pp. 1230-1231
Author(s):  
Lei Li ◽  
Congxin Wu
Keyword(s):  
Lower Semicontinuous ◽  
Continuous Selections ◽  
Convex Structure ◽  
Set Valued Mappings

A Characterization of Proximal Subgradient Set-Valued Mappings

1993 ◽  
Vol 36 (1) ◽  
pp. 116-122 ◽  
Author(s):  
R. A. Poliquin
Keyword(s):  
Lower Semicontinuous ◽  
Lower Semicontinuous Function ◽  
Semicontinuous Function ◽  
Set Valued Mapping ◽  
Selection Property ◽  
Set Valued Mappings ◽  
Bounded Below

AbstractIn this paper we tackle the problem of identifying set-valued mappings that are subgradient set-valued mappings. We show that a set-valued mapping is the proximal subgradient mapping of a lower semicontinuous function bounded below by a quadratic if and only if it satisfies a monotone selection property.

scholarly journals Systems of variational relations with lower semicontinuous set-valued mappings

2015 ◽  
Vol 31 (3) ◽  
pp. 269-275
Author(s):  
MIRCEA BALAJ ◽  
Keyword(s):  
Fixed Point ◽  
Lower Semicontinuous ◽  
Variational Relations ◽  
Set Valued Mappings ◽  
Existence Criteria ◽  
Fixed Point Techniques

In this paper, we use fixed point techniques to establish existence criteria of the solution for a system of two variational relations with lower semicontinuous set-valued mappings.

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