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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 34, 1995 - Issue 4
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Original Articles

Duality for Variational Problems with Pseudo-Invexity

C. Nahak Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India
&
S. Nanda Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India
Pages 365-371 | Published online: 20 Mar 2007

Citations (11)

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M. Arana-Jiménez, G. Ruiz-Garzón, A. Beato-Moreno & M.J. Zafra-Garrido. (2012) A necessary and sufficient condition for duality in control problems: KT-invex functionals. Optimization 61:1, pages 89-97.
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Articles from other publishers (10)

Preeti, Poonam Agarwal, Savin Treanţă & Kamsing Nonlaopon. (2022) Penalty approach for KT-pseudoinvex multidimensional variational control problems. AIMS Mathematics 8:3, pages 5687-5702.
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Savin Treanţă & Manuel Arana-Jiménez. (2018) On generalized KT-pseudoinvex control problems involving multiple integral functionals. European Journal of Control 43, pages 39-45.
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Savin Treanţă & Manuel Arana-Jiménez. (2018) KT-pseudoinvex multidimensional control problem. Optimal Control Applications and Methods 39:4, pages 1291-1300.
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Manuel Arana-Jiménez, Gabriel Ruiz-Garzón, Rafaela Osuna-Gómez & Antonio Rufián-Lizana. (2010) Weakly efficient solutions and pseudoinvexity in multiobjective control problems. Nonlinear Analysis: Theory, Methods & Applications 73:6, pages 1792-1801.
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Shuli Xu, Jun Jiang & Weiwei Ouyang. (2009) Vector Variational Control Problems with KT-invex. Vector Variational Control Problems with KT-invex.
Manuel Arana-Jiménez, Antonio Rufián-Lizana, Gabriel Ruiz-Garzón & Rafaela Osuna-Gómez. (2009) Efficient solutions in V-KT-pseudoinvex multiobjective control problems: A characterization. Applied Mathematics and Computation 215:2, pages 441-448.
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M. Arana-Jiménez, R. Osuna-Gómez, A. Rufián-Lizana & G. Ruiz-Garzón. (2008) KT-invex control problem. Applied Mathematics and Computation 197:2, pages 489-496.
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C. Nahak & S. Nanda. (2007) Sufficient optimality criteria and duality for multiobjective variational control problems with -invexity. Nonlinear Analysis: Theory, Methods & Applications 66:7, pages 1513-1525.
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M. Arana-Jiménez, R. Osuna-Gómez, G. Ruiz-Garzón & M. Rojas-Medar. (2005) On variational problems: Characterization of solutions and duality. Journal of Mathematical Analysis and Applications 311:1, pages 1-12.
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C. Nahak & S. Nanda. (2000) Symmetric duality with pseudo-invexity in variational problems. European Journal of Operational Research 122:1, pages 145-150.
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