Upper semicontinuity properties of set valued functions
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Publication:3892858
DOI10.1016/0362-546X(80)90065-6zbMath0447.49029MaRDI QIDQ3892858
M. B. Suryanarayana, Lamberto Cesari
Publication date: 1980
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
upper semicontinuityconjugate dualityset valued functionsseminormalityLipschitz type conditionslower closure
Controllability (93B05) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20)
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Cites Work
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- Upper semicontinuity of set-valued functions
- Optimal control theory
- Closure theorems for orientor fields and weak convergence
- The duality of convex functions and Cesari's property (Q)
- Geometric and analytic views in existence theorems for optimal control. III: Weak solutions
- Nemitsky's operators and lower closure theorems
- Orientor field equations in Banach spaces
- Convex analysis and measurable multifunctions
- Lower closure and existence theorems for optimal control problems with infinite horizon
- Closure theorems without seminormality conditions
- Seminormality and upper semicontinuity in optimal control
- Convexity and Property (Q) in Optimal Control Theory
- On Lower Semicontinuity of Integral Functionals. I
- An existence theorem for pareto problems
- A necessary and sufficient condition for lower semicontinuity
- Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
- Existence Theorems for Optimal Controls of the Mayer Type
- Existence Theorems for Optimal Problems with Vector-Valued Cost Function
- Closure, Lower Closure, and Semicontinuity Theorems in Optimal Control