Search Results - "approximate coderivative"

Qualification Conditions for Calculus Rules of Coderivatives of Multivalued Mappings: Qualification conditions for calculus rules of coderivatives of multivalued mappings

Authors: Abderrahim Jourani L Thibault

Source: Journal of Mathematical Analysis and Applications. 218:66-81

Subject Terms: Derivatives of functions in infinite-dimensional spaces, multivalued mappings with closed graphs, coderivatives of multivalued mappings, Applied Mathematics, Nonsmooth analysis, limiting Fréchet coderivatives, 0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, Asplund space, approximate coderivative, calculus rules, tangent cones, 0101 mathematics, Set-valued operators, Analysis

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Access URL: https://zbmath.org/1123511
https://doi.org/10.1006/jmaa.1997.5733
https://www.sciencedirect.com/science/article/pii/S0022247X97957334
https://core.ac.uk/display/81126860
https://www.sciencedirect.com/science/article/abs/pii/S0022247X97957334

Estimates of Error Bounds for Some Sets of Efficient Solutions of a Set-Valued Optimization Problem.

Authors: Ha, Truong Xuan Duc

Source: Set Optimization & Applications - The State of the Art; 2015, p249-273, 25p

Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems

Authors: Ha, Truong Xuan Duc¹ txdha@math.ac.vn

Source: Nonlinear Analysis. Feb2012, Vol. 75 Issue 3, p1305-1323. 19p.

Subject Terms: *SET-valued maps, *MATHEMATICAL optimization, *ASPLUND spaces, *BANACH spaces, *GLOBAL analysis (Mathematics), *VARIATIONAL inequalities (Mathematics), *VECTOR valued functions

Approximate subgradients and coderivatives in R.

Authors: Borwein, D. Borwein, J. Wang, Xianfu

Source: Set-Valued Analysis; Dec1996, Vol. 4 Issue 4, p375-398, 24p

Optimality Conditions for Vector Optimization Problems.

Authors: Eichfelder, Gabriele

Source: Variable Ordering Structures in Vector Optimization; 2014, p117-138, 22p

CHARACTERIZING GENERALIZED DERIVATIVES OF SET-VALUED MAPS: EXTENDING THE TANGENTIAL AND NORMAL APPROACHES.

Authors: PANG, C. H. JEFFREY

Source: SIAM Journal on Control & Optimization; 2013, Vol. 51 Issue 1, p145-171, 27p

Subject Terms: DERIVATIVES (Mathematics), MATHEMATICAL optimization, MATHEMATICAL functions, LIPSCHITZ spaces, MATHEMATICS theorems

Lagrangian conditions for vector optimization in Banach spaces.

Authors: Dutta, Joydeep Tammer, Christiane

Source: Mathematical Methods of Operations Research; 2006, Vol. 64 Issue 3, p521-540, 20p

Subject Terms: LAGRANGIAN functions, VECTOR analysis, MATHEMATICAL optimization, BANACH spaces, SUBDIFFERENTIALS

Estimates of Error Bounds for Some Sets of Efficient Solutions of a Set-Valued Optimization Problem

Authors: Truong Xuan Duc Ha

Source: Springer Proceedings in Mathematics & Statistics ISBN: 9783662486689

Subject Terms: 3. Good health

Access URL: https://link.springer.com/chapter/10.1007/978-3-662-48670-2_8/fulltext.html
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COMPLETE CHARACTERIZATION OF OPENNESS, METRIC REGULARITY, AND LIPSCHITZIAN PROPERTIES OF MULTIFUNCTIONS.

Source: Transactions of the American Mathematical Society; Nov1993, Vol. 340 Issue 1, p1-35, 35p

APPROXIMATE SUBDIFFERENTIALS AND APPLICATIONS. I: THE FINITE DIMENSIONAL THEORY.

Source: Transactions of the American Mathematical Society; Jan1984, p389-416, 28p

Characterization of Stability for Cone Increasing Constraint Mappings.

Authors: Henrion, René

Source: Set-Valued Analysis; Dec1997, Vol. 5 Issue 4, p323-349, 27p

Metric regularity and quantitative stability in stochastic programs with probabilistic constraints.

Authors: Henrion, René Römisch, Werner

Source: Mathematical Programming; 1999, Vol. 84 Issue 1, p55, 34p

Subject Terms: PROBABILITY theory, MATHEMATICAL optimization, CONVEX programming, STOCHASTIC programming, PERTURBATION theory

The use of metric graphical regularity in approximate subdifferential calculus rules in finite dimensions.

Authors: Jourani, A. Thibault, L.

Source: Optimization; Jan1990, Vol. 21 Issue 4, p509-519, 11p

Optimality Conditions for Several Types of Efficient Solutions of Set-Valued Optimization Problems

Authors: Truong Xuan Duc Ha

Source: Springer Optimization and Its Applications ISBN: 9781441901576

Access URL: https://rd.springer.com/chapter/10.1007/978-1-4419-0158-3_21
https://link.springer.com/chapter/10.1007%2F978-1-4419-0158-3_21
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Unilateral Variational Analysis In Banach Spaces (In 2 Parts)

Authors: Lionel Thibault

Resource Type: eBook.

Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Applied, MATHEMATICS / Optimization

Variational Analysis and Applications

Authors: Boris S. Mordukhovich

Resource Type: eBook.

Subjects: Calculus of variations

Categories: MATHEMATICS / Optimization, BUSINESS & ECONOMICS / Management Science, BUSINESS & ECONOMICS / Operations Research, MATHEMATICS / Mathematical Analysis

Set Optimization and Applications - The State of the Art : From Set Relations to Set-Valued Risk Measures

Authors: Andreas H Hamel Frank Heyde Andreas Löhne et al.

Resource Type: eBook.

Subjects: Algebra, Mathematical optimization, Set theory, Finance

Categories: MATHEMATICS / Optimization, MATHEMATICS / Algebra / Abstract, MATHEMATICS / Applied

Set-valued Optimization : An Introduction with Applications

Authors: Akhtar A. Khan Christiane Tammer Constantin Zălinescu

Resource Type: eBook.

Subjects: Search theory, Mathematics, Programming (Mathematics), Duality theory (Mathematics), Mathematical optimization, Set-valued maps

Categories: MATHEMATICS / Optimization, BUSINESS & ECONOMICS / Management Science, BUSINESS & ECONOMICS / Operations Research, MATHEMATICS / Game Theory

Variable Ordering Structures in Vector Optimization

Authors: Gabriele Eichfelder

Resource Type: eBook.

Subjects: Operations research, Mathematics, Mathematical optimization, Vector analysis

Categories: MATHEMATICS / Optimization, BUSINESS & ECONOMICS / Operations Research, MATHEMATICS / Applied

Recent Developments in Vector Optimization

Authors: Qamrul Hasan Ansari Jen-Chih Yao

Resource Type: eBook.

Subjects: Mathematical optimization, Vector analysis

Categories: BUSINESS & ECONOMICS / Operations Research, BUSINESS & ECONOMICS / Management Science, MATHEMATICS / Optimization