Nonsmooth Vector Functions and Continuous Optimization
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Abstract
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Suggested Citation
DOI: 10.1007/978-0-387-73717-1
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Citations
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Cited by:
- Vaithilingam Jeyakumar & Guoyin Li, 2017. "Exact Conic Programming Relaxations for a Class of Convex Polynomial Cone Programs," Journal of Optimization Theory and Applications, Springer, vol. 172(1), pages 156-178, January.
- Szilárd László, 2011. "Some Existence Results of Solutions for General Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 150(3), pages 425-443, September.
- Tuan, Nguyen Dinh, 2015. "First and second-order optimality conditions for nonsmooth vector optimization using set-valued directional derivatives," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 300-317.
- Kabgani, Alireza & Soleimani-damaneh, Majid, 2022. "Semi-quasidifferentiability in nonsmooth nonconvex multiobjective optimization," European Journal of Operational Research, Elsevier, vol. 299(1), pages 35-45.
- Stephan Dempe & Maria Pilecka, 2015. "Necessary optimality conditions for optimistic bilevel programming problems using set-valued programming," Journal of Global Optimization, Springer, vol. 61(4), pages 769-788, April.
- V. Jeyakumar & Guoyin Li, 2011. "Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems," Journal of Global Optimization, Springer, vol. 49(1), pages 1-14, January.
- Qamrul Hasan Ansari & Mahboubeh Rezaei, 2012. "Invariant Pseudolinearity with Applications," Journal of Optimization Theory and Applications, Springer, vol. 153(3), pages 587-601, June.
- Giuseppe Caristi & Massimiliano Ferrara, 2017. "Necessary conditions for nonsmooth multiobjective semi-infinite problems using Michel–Penot subdifferential," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 103-113, November.
- N. Dinh & V. Jeyakumar, 2014. "Rejoinder on: Farkas’ lemma: three decades of generalizations for mathematical optimization," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 41-44, April.
- Alireza Kabgani & Majid Soleimani-damaneh & Moslem Zamani, 2017. "Optimality conditions in optimization problems with convex feasible set using convexificators," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 103-121, August.
Book Chapters
The following chapters of this book are listed in IDEAS- V. Jeyakumar & D.T. LUC, 2008. "Pseudo-Jacobian Matrices," Springer Optimization and Its Applications, in: Nonsmooth Vector Functions and Continuous Optimization, chapter 1, pages 1-56, Springer.
- V. Jeyakumar & D.T. LUC, 2008. "Calculus Rules for Pseudo-Jacobians," Springer Optimization and Its Applications, in: Nonsmooth Vector Functions and Continuous Optimization, chapter 2, pages 57-97, Springer.
- V. Jeyakumar & D.T. LUC, 2008. "Openness of Continuous Vector Functions," Springer Optimization and Its Applications, in: Nonsmooth Vector Functions and Continuous Optimization, chapter 3, pages 99-142, Springer.
- V. Jeyakumar & D.T. LUC, 2008. "Nonsmooth Mathematical Programming Problems," Springer Optimization and Its Applications, in: Nonsmooth Vector Functions and Continuous Optimization, chapter 4, pages 143-206, Springer.
- V. Jeyakumar & D.T. LUC, 2008. "Monotone Operators and Nonsmooth Variational Inequalities," Springer Optimization and Its Applications, in: Nonsmooth Vector Functions and Continuous Optimization, chapter 5, pages 207-254, Springer.
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