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## Nonconvex Optimization and Its Applications

 Short Title: Nonconvex Optim. Appl. Publisher: Springer, New York, NY Online: https://rd.springer.com/bookseries/6354 Comments: Book series; No longer indexed
 Documents Indexed: 92 Publications (1994–2009)
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#### Latest Volumes

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#### Authors / Editors

 21 Pardalos, Panos M. 5 Giannessi, Franco 4 Floudas, Christodoulos Achilleus 4 Horst, Reiner 4 Motreanu, Dumitru 4 Panagiotopoulos, Panagiotis D. 3 Du, Ding-Zhu 3 Hadjisavvas, Nicolas 3 Isac, George 3 Mishra, Shashi Kant 3 Stavroulakis, Georgios E. 2 Demyanov, Vladimir Fedorovich 2 Gao, David Yang 2 Goeleven, Daniel 2 Lai, Kinkeung 2 Maugeri, Antonino 2 Maugeri, Antonio 2 Migdalas, Athanasios 2 Nguyen van Thoai 2 Pintér, János D. 2 Tuy, Hoang 2 Varbrand, Peter 2 Wang, Shouyang 1 Adams, Warren Philips 1 Adjiman, Claire S. 1 Atkinson, Anthony C. 1 Bard, Jonathan F. 1 Bogacka, Barbara 1 Bomze, Immanuel M. 1 Brauers, Willem Karel M. 1 Bulavsky, Vladimir A. 1 Chen, Hanfu 1 Chornei, Ruslan K. 1 Cieslik, Dietmar 1 Crouzeix, Jean-Pierre 1 Csendes, Tibor 1 Daduna, Hans 1 Daniele, Patrizia 1 Deineka, V. S. 1 Dempe, Stephan 1 Dinh The Luc 1 DiPillo, Gianni 1 do Rosário Grossinho, Maria 1 Dumont, Yves 1 Dzemyda, Gintautas 1 Eberhard, Andrew C. 1 Eddy, William F. 1 Esposito, William R. 1 Fluodas, Christodoulos A. 1 Forgó, Ferenc 1 Gilbert, Robert Pertsch 1 Giorgi, Giorgio 1 Goberna, Miguel Angel 1 Grossmann, Ignacio E. 1 Gümüş, Zeynep H. 1 Hager, William W. 1 Hajdu, Miklós 1 Harding, Stephen T. 1 Haslinger, Jaroslav 1 Higle, Julia L. 1 Huang, Shu-Jen 1 Jongen, Hubertus Th. 1 Jonker, Peter 1 Kalashnikov, Vyacheslav Vitalievich 1 Kearfott, Baker 1 Klatte, Diethard 1 Klepeis, John L. 1 Knopov, Pavel S. 1 Kočvara, Michal 1 Komlósi, Sándor 1 Konno, Hiroshi 1 Kouvelis, Panos 1 Kummer, Bernd 1 Kurdila, Andrew J. 1 Lee, Gue Myung 1 Liberti, Leo 1 López-Cerdá, Marco Antonio 1 Luderer, Bernd 1 Maculan, Nelson F. 1 Martínez-Legaz, Juan-Enrique 1 Meyer, Clifford A. 1 Miettinen, Markku 1 Minchenko, Leonid I. 1 Mirkin, Boris G. 1 Mistakidis, E. S. 1 Mockus, Audris 1 Mockus, Jonas 1 Mockus, Linas 1 Ogden, Raymond William 1 Outrata, Jiří V. 1 Phan Thiên Thąch 1 Polyakova, Ludmila N. 1 Prokopyev, Oleg Alexan 1 Pytlak, Radosław 1 Rădulescu, Vicenţiu D. 1 Rapcsák, Tamás 1 Reemtsen, Rembert M. 1 Reklaitis, Gintaras V. 1 Ricceri, Biagio 1 Rochdi, Mohamed ...and 41 more Authors
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#### Fields

 76 Operations research, mathematical programming (90-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 36 General and overarching topics; collections (00-XX) 13 Numerical analysis (65-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Mechanics of deformable solids (74-XX) 5 Operator theory (47-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

89 Publications have been cited 5,064 times in 4,118 Documents Cited by Year
Foundations of bilevel programming. Zbl 1038.90097
Dempe, Stephan
2002
Robust discrete optimization and its applications. Zbl 0873.90071
Kouvelis, Panos; Yu, Gang
1997
Vector variational inequalities and vector equilibria. Mathematical theories. Zbl 0952.00009
Giannessi, Franco (ed.)
2000
Practical bilevel optimization. Algorithms and applications. Zbl 0943.90078
Bard, Jonathan F.
1998
Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results. Zbl 0947.90093
Outrata, Jiři; Kočvara, Michal; Zowe, Jochem
1998
Convexification and global optimization in continuous and mixed-integer nonlinear programming. Theory, algorithms, software, and applications. Zbl 1031.90022
Tawarmalani, Mohit; Sahinidis, Nikolaos V.
2002
Nonsmooth equations in optimization. Regularity, calculus, methods and applications. Zbl 1173.49300
Klatte, Diethard; Kummer, Bernd
2002
Rigorous global search: continuous problems. Zbl 0876.90082
Kearfott, R. Baker
1996
Handbook of global optimization. Zbl 0805.00009
Horst, Reiner; Pardalos, Panos M.
1995
Introduction to global optimization. 2nd ed. Zbl 0966.90073
Horst, Reiner; Pardalos, Panos M.; Thoai, Nguyen V.
2000
A reformulation-linearization technique for solving discrete and continuous nonconvex problems. Zbl 0926.90078
Sherali, Hanif D.; Adams, Warren P.
1999
Equilibrium problems: nonsmooth optimization and variational inequality models. Zbl 0979.00025
Giannessi, Franco (ed.); Maugeri, Antonio (ed.); Pardalos, Panos M. (ed.)
2001
Handbook of test problems in local and global optimization. Zbl 0943.90001
Floudas, Christodoulos A.; Pardalos, Paǹos M.; Adjiman, Claire S.; Esposito, William R.; Gümüş, Zeynep H.; Harding, Stephen T.; Klepeis, John L.; Meyer, Clifford A.; Schweiger, Carl A.
1999
Introduction to global optimization. Zbl 0836.90134
Horst, Reiner; Pardalos, Panos M.; Thoai, Nguyen V.
1995
Convex analysis and global optimization. Zbl 0904.90156
Tuy, Hoang
1998
Multicriteria methodology for decision aiding. Transl. from the French by Mark R. McCord. Zbl 0893.90108
Roy, Bernard
1996
Minimax theorems and qualitative properties of the solutions of hemivariational inequalities. Zbl 1060.49500
Motreanu, D.; Panagiotopoulos, P. D.
1999
Abstract convexity and global optimization. Zbl 0985.90074
Rubinov, Alexander
2000
Global optimization with non-convex constraints. Sequential and parallel algorithms. Zbl 0987.90068
Strongin, R. G.; Sergeyev, Ya. D.
2000
Turnpike properties in the calculus of variations and optimal control. Zbl 1100.49003
Zaslavski, Alexander J.
2006
Finite element method for hemivariational inequalities. Theory, methods and applications. Zbl 0949.65069
Haslinger, Jaroslav; Miettinen, Markku; Panagiotopoulos, Panagiotis D.
1999
Global optimization in action. Continuous and Lipschitz optimization: algorithms, implementations and applications. Zbl 0842.90110
Pintér, János D.
1996
Variational and non-variational methods in nonlinear analysis and boundary value problems. Zbl 1040.49001
Motreanu, D.; Rădulescu, V.
2003
Mathematical classification and clustering. Zbl 0874.90198
Mirkin, B.
1996
Bi-level strategies in semi-infinite programming. Zbl 1103.90094
Stein, Oliver
2003
Topological methods in complementarity theory. Zbl 0954.90056
Isac, George
2000
Handbook of generalized convexity and generalized monotonicity. Zbl 1070.26002
Hadjisavvas, Nicolas (ed.); Komlósi, Sándor (ed.); Schaible, Siegfried (ed.)
2005
Nondifferentiable optimization and polynomial problems. Zbl 0901.49015
Shor, Naum Z.
1998
Handbook of global optimization. Vol. 2. Zbl 0991.00017
Pardalos, Panos M. (ed.); Romeijn, H. Edwin (ed.)
2002
Optimization on low rank nonconvex structures. Zbl 0879.90171
Konno, Hiroshi; Phan Thien Thach; Hoang Tuy
1997
Stochastic decomposition. A statistical method for large scale stochastic linear programming. Zbl 0874.90145
Higle, Julia L.; Sen, Suvrajeet
1996
Variational and hemivariational inequalities: theory, methods and applications. Vol. I: Unilateral analysis and unilateral mechanics. Zbl 1259.49002
Goeleven, Daniel; Motreanu, Dumitru; Dumont, Yves; Rochdi, Mohamed
2003
Smooth nonlinear optimization of $$\mathbb R^n$$. Zbl 1009.90109
Rapcsák, Tamás
1997
Duality principles in nonconvex systems. Theory, methods and applications. Zbl 0940.49001
Gao, David Yang
2000
Stochastic approximation and its applications. Zbl 1008.62071
Chen, Han-Fu
2002
Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects. Zbl 0985.90083
Jongen, Hubertus Th.; Jonker, Peter; Twilt, Frank
2000
Complementarity, equilibrium, efficiency and economics. Zbl 1081.90001
Isac, George; Bulavsky, V. A.; Kalashnikov, V. V.
2002
Quasidifferentiability and nonsmooth modelling in mechanics, engineering and economics. Zbl 1076.49500
Dem’yanov, Vladimir F.; Stavroulakis, Georgios E.; Polyakova, Ludmila N.; Panagiotopoulos, Panagiotis
1996
Advances in multicriteria analysis. Zbl 0847.00021
Pardalos, Panos M. (ed.); Siskos, Yannis (ed.); Zopounidis, Constantin (ed.)
1995
Leray–Schauder type alternatives, complementarity problems and variational inequalities. Zbl 1095.47002
Isac, George
2006
Stochastic adaptive search for global optimization. Zbl 1044.90001
Zabinsky, Zelda B.
2003
Semi-infinite programming. Recent advances. Zbl 0978.00025
Goberna, Miguel Á. (ed.); López, Marco A. (ed.)
2001
Semi-infinite programming. Workshop, Cottbus, Germany, September 1996. Zbl 0890.00054
Reemtsen, Rembert (ed.); Rückmann, Jan-J. (ed.)
1998
Invexity and optimization. Zbl 1155.90016
Mishra, Shashi K.; Giorgi, Giorgio
2008
Multilevel optimization: algorithms and applications. Zbl 0881.00028
Migdalas, Athanasios (ed.); Pardalos, Panos M. (ed.); Värbrand, Peter (ed.)
1998
Equilibrium problems: nonsmooth optimization and variational inequality models. Zbl 0992.49001
Giannessi, Franco (ed.); Maugeri, Antonio (ed.); Pardalos, Panos M. (ed.)
2001
Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23–July 2, 2000. Zbl 1030.00031
Daniele, Patrizia (ed.); Giannessi, Franco (ed.); Maugeri, Antonino (ed.)
2003
Optimal control of distributed systems with conjugation conditions. Edited by Naum Z. Shor. Zbl 1080.49001
Sergienko, I. V.; Deineka, V. S.
2005
Quadratic programming and affine variational inequalities. A qualitative study. Zbl 1092.90033
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
2005
Steiner minimal trees. Zbl 0997.05500
Cieslik, Dietmar
1998
Global optimization. From theory to implementation. Zbl 1087.90005
Liberti, Leo (ed.); Maculan, Nelson (ed.)
2006
Variational and hemivariational inequalities. Theory, methods and applications. Vol. II: Unilateral problems. Zbl 1259.49001
Goeleven, Daniel; Motreanu, Dumitru
2003
Conjugate gradient algorithms in nonconvex optimization. Zbl 1171.49002
2009
Mathematical theory of optimization. Zbl 1039.90073
Du, Ding-Zhu; Pardalos, Panos M.; Wu, Weili
2001
Variational analysis and applications. Proceedings of the 38th conference of the School of Mathematics “G. Stampacchia” in memory of G. Stampacchia and J.-L. Lions, Erice, Italy, June 20–July 1, 2003. Zbl 1077.49001
Giannessi, Franco (ed.); Maugeri, Antonino (ed.)
2005
Nonconvex optimization in mechanics. Algorithms, heuristics and engineering applications by the F. E. M. Zbl 0918.73002
Mistakidis, E. S.; Stavroulakis, G. E.
1998
Optimization in computational chemistry and molecular biology. Local and global approaches. Conference, Princeton Univ., Princeton, NJ, USA, May 7–9, 1999. Zbl 0936.00053
Floudas, C. A. (ed.); Pardalos, P. M. (ed.)
2000
Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday. Zbl 0949.00047
Demyanov, V. (ed.); Rubinov, Alexander (ed.)
2000
Global optimization. Scientific and engineering case studies. Zbl 1103.90011
Pintér, János D. (ed.)
2006
State of the art in global optimization: computational methods and applications. Papers of the conference, Princeton, NJ, USA, April 28–30, 1995. Zbl 0847.00058
Floudas, C. A. (ed.); Pardalos, Panos M. (ed.)
1996
An introduction to minimax theorems and their applications to differential equations. Zbl 0987.58004
Grossinho, Maria do Rosário; Tersian, Stepan Agop
2001
Global optimization in engineering design. Zbl 0869.00021
Grossmann, Ignacio E. (ed.)
1996
Minimax and applications. Zbl 0832.00015
Du, Ding-Zhu (ed.); Pardalos, Panos M. (ed.)
1995
Generalized convexity and vector optimization. Zbl 1162.49001
Mishra, Shashi Kant; Wang, Shou-Yang; Lai, Kin Keung
2009
Multivalued analysis and nonlinear programming problems with perturbations. Zbl 1061.90105
Luderer, Bernd; Minchenko, Leonid; Satsura, Tatyana
2002
Bayesian heuristic approach to discrete and global optimization. Algorithms, visualization, software, and applications. Incl. 2 disks. Zbl 0864.65036
Mockus, Jonas; Eddy, William; Mockus, Audris; Mockus, Linas; Reklaitis, Gintaras
1997
Frontiers in global optimization. Zbl 1031.90001
Floudas, Christodoulos A. (ed.); Pardalos, Panos M. (ed.)
2004
Introduction to the theory of games. Concepts, methods, applications. Zbl 0941.91001
Forgó, Ferenc; Szidarovszky, Ferenc; Szép, Jenö
1999
Control of spatially structured random processes and random fields with applications. Zbl 1170.93002
Chornei, Ruslan K.; Daduna, Hans; Knopov, Pavel S.
2006
Probabilistic constrained optimization. Methodology and applications. Zbl 0959.00019
Uryasev, Stanislav P.
2000
Generalized convexity and vector optimization. Reprint of the 2009 hardback ed. Zbl 1207.49001
Mishra, Shashi Kant; Wang, Shou-Yang; Lai, Kin Keung
2009
From convexity to nonconvexity. Dedicated to the memory of Gaetano Fichera. Zbl 0972.00025
Gilbert, Robert P. (ed.); Panagiotopoulos, Panagiotis D. (ed.); Pardalos, Panos M. (ed.)
2001
Developments in global optimization. Proceedings of the 3rd workshop, Szeged, Hungary, December 10–14, 1995. Zbl 0865.00047
Bomze, Immanuel M. (ed.); Csendes, Tibor (ed.); Horst, Reiner (ed.); Pardalos, Panos M. (ed.)
1997
Approximation and complexity in numerical optimization. Continuous and discrete problems. Conference, Univ. of Florida, Orlando, FL, USA, February 28 - March 2, 1999. Zbl 0949.00027
Pardalos, Panos M. (ed.)
2000
Advances in convex analysis and global optimization. Honoring the memory of C. Carathéodory (1873-1950). Zbl 0968.00020
Hadjisavvas, Nicolas (ed.); Pardalos, Panos M. (ed.)
2001
Neural networks in optimization. Zbl 1017.90109
Zhang, Xiang-Sun
2000
Optimization methods for a stakeholder society. A revolution in economic thinking by multi-objective optimization. Zbl 1058.90059
Brauers, Willem K.
2004
Stochastic and global optimization. Dedicated to Prof. Jonas Močkus on his 70th birthday (June 18, 2001). Zbl 0986.00084
Dzemyda, Gintautas; Šaltenis, Vydūnas; Žilinskas, Antanas
2002
Noniterative coordination in multilevel systems. Zbl 0994.90001
Stoilov, Todor; Stoilova, Krassimira
1999
Nonsmooth/ nonconvex mechanics. Modeling, analysis and numerical methods. A volume dedicated to the memory of Prof. P. D. Panagiotopoulos. Minisymposium within the ASME 1999 Mechanics and materials conference, Blacksburg, VA, USA, June 27–30, 1999. Zbl 0959.00041
Gao, David Y. (ed.); Ogden, Ray W. (ed.); Stavroulakis, Georgios (ed.)
2001
Minimax theory and applications. Proceedings of the workshop, Erice, Italy, September 30–October 6, 1996. Zbl 0892.00041
Ricceri, Biagio; Simons, Stephen (ed.)
1998
Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17–21, 1996. Zbl 0897.00032
Crouzeix, Jean-Pierre (ed.); Martinez-Legaz, Juan-Enrique (ed.); Volle, Michel (ed.)
1998
Large-scale nonlinear optimization. Papers based on the presentation at the workshop on large scale nonlinear optimization, Erice, Italy, June 22–July 1, 2004. Zbl 1087.90003
Di Pillo, Gianni (ed.); Roma, Massimo (ed.)
2006
Multiscale optimization methods and applications. Selected papers based on the presentation at the conference, Gainesville, FL, USA, February 26–28, 2004. Zbl 1087.90004
Hager, William W. (ed.); Huang, Shu-Jen (ed.); Pardalos, Panos M. (ed.); Prokopyev, Oleg A. (ed.)
2006
Robust optimization-directed design. Papers based on the 1st Conference on Robust Optimization-Directed Design (RODD), Shalimar, FL, USA, April 19–21, 2004. Zbl 1087.93006
Kurdila, Andrew J. (ed.); Pardalos, Panos M. (ed.); Zabarankin, Michael (ed.)
2006
Generalized convexity, generalized monotonicity and applications. Proceedings of the 7th international symposium on generalized convexity and generalized monotonicity, Hanoi, Vietnam, August 27–31, 2002. Zbl 1055.90002
Eberhard, Andrew (ed.); Hadjisavvas, Nicolas (ed.); Dinh The Luc (ed.)
2005
A mathematical structure for emergent computation. Zbl 0947.90100
Korotkich, V.
1999
Deterministic global optimization. Theory, methods and applications. Zbl 1037.90002
Fluodas, Christodoulos A.
2000
Optimum design 2000. Papers at the conference optimum design 2000: prospects for the new millenium, Cardiff, GB, April 12–14, 2000. Dedicated to Valeri Fedorov on the occasion of his 60th birthday. Zbl 0961.00023
Atkinson, Anthony (ed.); Bogacka, Barbara (ed.); Zhigljavsky, Anatoly (ed.)
2001
Conjugate gradient algorithms in nonconvex optimization. Zbl 1171.49002
2009
Generalized convexity and vector optimization. Zbl 1162.49001
Mishra, Shashi Kant; Wang, Shou-Yang; Lai, Kin Keung
2009
Generalized convexity and vector optimization. Reprint of the 2009 hardback ed. Zbl 1207.49001
Mishra, Shashi Kant; Wang, Shou-Yang; Lai, Kin Keung
2009
Invexity and optimization. Zbl 1155.90016
Mishra, Shashi K.; Giorgi, Giorgio
2008
Turnpike properties in the calculus of variations and optimal control. Zbl 1100.49003
Zaslavski, Alexander J.
2006
Leray–Schauder type alternatives, complementarity problems and variational inequalities. Zbl 1095.47002
Isac, George
2006
Global optimization. From theory to implementation. Zbl 1087.90005
Liberti, Leo; Maculan, Nelson
2006
Global optimization. Scientific and engineering case studies. Zbl 1103.90011
Pintér, János D.
2006
Control of spatially structured random processes and random fields with applications. Zbl 1170.93002
Chornei, Ruslan K.; Daduna, Hans; Knopov, Pavel S.
2006
Large-scale nonlinear optimization. Papers based on the presentation at the workshop on large scale nonlinear optimization, Erice, Italy, June 22–July 1, 2004. Zbl 1087.90003
Di Pillo, Gianni; Roma, Massimo
2006
Multiscale optimization methods and applications. Selected papers based on the presentation at the conference, Gainesville, FL, USA, February 26–28, 2004. Zbl 1087.90004
Hager, William W.; Huang, Shu-Jen; Pardalos, Panos M.; Prokopyev, Oleg A.
2006
Robust optimization-directed design. Papers based on the 1st Conference on Robust Optimization-Directed Design (RODD), Shalimar, FL, USA, April 19–21, 2004. Zbl 1087.93006
Kurdila, Andrew J.; Pardalos, Panos M.; Zabarankin, Michael
2006
Handbook of generalized convexity and generalized monotonicity. Zbl 1070.26002
Hadjisavvas, Nicolas; Komlósi, Sándor; Schaible, Siegfried
2005
Optimal control of distributed systems with conjugation conditions. Edited by Naum Z. Shor. Zbl 1080.49001
Sergienko, I. V.; Deineka, V. S.
2005
Quadratic programming and affine variational inequalities. A qualitative study. Zbl 1092.90033
Lee, Gue Myung; Tam, Nguyen Nang; Yen, Nguyen Dong
2005
Variational analysis and applications. Proceedings of the 38th conference of the School of Mathematics “G. Stampacchia” in memory of G. Stampacchia and J.-L. Lions, Erice, Italy, June 20–July 1, 2003. Zbl 1077.49001
Giannessi, Franco; Maugeri, Antonino
2005
Generalized convexity, generalized monotonicity and applications. Proceedings of the 7th international symposium on generalized convexity and generalized monotonicity, Hanoi, Vietnam, August 27–31, 2002. Zbl 1055.90002
Eberhard, Andrew; Hadjisavvas, Nicolas; Dinh The Luc
2005
Frontiers in global optimization. Zbl 1031.90001
Floudas, Christodoulos A.; Pardalos, Panos M.
2004
Optimization methods for a stakeholder society. A revolution in economic thinking by multi-objective optimization. Zbl 1058.90059
Brauers, Willem K.
2004
Variational and non-variational methods in nonlinear analysis and boundary value problems. Zbl 1040.49001
Motreanu, D.; Rădulescu, V.
2003
Bi-level strategies in semi-infinite programming. Zbl 1103.90094
Stein, Oliver
2003
Variational and hemivariational inequalities: theory, methods and applications. Vol. I: Unilateral analysis and unilateral mechanics. Zbl 1259.49002
Goeleven, Daniel; Motreanu, Dumitru; Dumont, Yves; Rochdi, Mohamed
2003
Stochastic adaptive search for global optimization. Zbl 1044.90001
Zabinsky, Zelda B.
2003
Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23–July 2, 2000. Zbl 1030.00031
Daniele, Patrizia; Giannessi, Franco; Maugeri, Antonino
2003
Variational and hemivariational inequalities. Theory, methods and applications. Vol. II: Unilateral problems. Zbl 1259.49001
Goeleven, Daniel; Motreanu, Dumitru
2003
Foundations of bilevel programming. Zbl 1038.90097
Dempe, Stephan
2002
Convexification and global optimization in continuous and mixed-integer nonlinear programming. Theory, algorithms, software, and applications. Zbl 1031.90022
Tawarmalani, Mohit; Sahinidis, Nikolaos V.
2002
Nonsmooth equations in optimization. Regularity, calculus, methods and applications. Zbl 1173.49300
Klatte, Diethard; Kummer, Bernd
2002
Handbook of global optimization. Vol. 2. Zbl 0991.00017
Pardalos, Panos M.; Romeijn, H. Edwin
2002
Stochastic approximation and its applications. Zbl 1008.62071
Chen, Han-Fu
2002
Complementarity, equilibrium, efficiency and economics. Zbl 1081.90001
Isac, George; Bulavsky, V. A.; Kalashnikov, V. V.
2002
Multivalued analysis and nonlinear programming problems with perturbations. Zbl 1061.90105
Luderer, Bernd; Minchenko, Leonid; Satsura, Tatyana
2002
Stochastic and global optimization. Dedicated to Prof. Jonas Močkus on his 70th birthday (June 18, 2001). Zbl 0986.00084
Dzemyda, Gintautas; Šaltenis, Vydūnas; Žilinskas, Antanas
2002
Equilibrium problems: nonsmooth optimization and variational inequality models. Zbl 0979.00025
Giannessi, Franco; Maugeri, Antonio; Pardalos, Panos M.
2001
Semi-infinite programming. Recent advances. Zbl 0978.00025
Goberna, Miguel Á.; López, Marco A.
2001
Equilibrium problems: nonsmooth optimization and variational inequality models. Zbl 0992.49001
Giannessi, Franco; Maugeri, Antonio; Pardalos, Panos M.
2001
Mathematical theory of optimization. Zbl 1039.90073
Du, Ding-Zhu; Pardalos, Panos M.; Wu, Weili
2001
An introduction to minimax theorems and their applications to differential equations. Zbl 0987.58004
Grossinho, Maria do Rosário; Tersian, Stepan Agop
2001
From convexity to nonconvexity. Dedicated to the memory of Gaetano Fichera. Zbl 0972.00025
Gilbert, Robert P.; Panagiotopoulos, Panagiotis D.; Pardalos, Panos M.
2001
Advances in convex analysis and global optimization. Honoring the memory of C. Carathéodory (1873-1950). Zbl 0968.00020
2001
Nonsmooth/ nonconvex mechanics. Modeling, analysis and numerical methods. A volume dedicated to the memory of Prof. P. D. Panagiotopoulos. Minisymposium within the ASME 1999 Mechanics and materials conference, Blacksburg, VA, USA, June 27–30, 1999. Zbl 0959.00041
Gao, David Y.; Ogden, Ray W.; Stavroulakis, Georgios
2001
Optimum design 2000. Papers at the conference optimum design 2000: prospects for the new millenium, Cardiff, GB, April 12–14, 2000. Dedicated to Valeri Fedorov on the occasion of his 60th birthday. Zbl 0961.00023
Atkinson, Anthony; Bogacka, Barbara; Zhigljavsky, Anatoly
2001
Vector variational inequalities and vector equilibria. Mathematical theories. Zbl 0952.00009
Giannessi, Franco
2000
Introduction to global optimization. 2nd ed. Zbl 0966.90073
Horst, Reiner; Pardalos, Panos M.; Thoai, Nguyen V.
2000
Abstract convexity and global optimization. Zbl 0985.90074
Rubinov, Alexander
2000
Global optimization with non-convex constraints. Sequential and parallel algorithms. Zbl 0987.90068
Strongin, R. G.; Sergeyev, Ya. D.
2000
Topological methods in complementarity theory. Zbl 0954.90056
Isac, George
2000
Duality principles in nonconvex systems. Theory, methods and applications. Zbl 0940.49001
Gao, David Yang
2000
Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects. Zbl 0985.90083
Jongen, Hubertus Th.; Jonker, Peter; Twilt, Frank
2000
Optimization in computational chemistry and molecular biology. Local and global approaches. Conference, Princeton Univ., Princeton, NJ, USA, May 7–9, 1999. Zbl 0936.00053
Floudas, C. A.; Pardalos, P. M.
2000
Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday. Zbl 0949.00047
Demyanov, V.; Rubinov, Alexander
2000
Probabilistic constrained optimization. Methodology and applications. Zbl 0959.00019
Uryasev, Stanislav P.
2000
Approximation and complexity in numerical optimization. Continuous and discrete problems. Conference, Univ. of Florida, Orlando, FL, USA, February 28 - March 2, 1999. Zbl 0949.00027
Pardalos, Panos M.
2000
Neural networks in optimization. Zbl 1017.90109
Zhang, Xiang-Sun
2000
Deterministic global optimization. Theory, methods and applications. Zbl 1037.90002
Fluodas, Christodoulos A.
2000
A reformulation-linearization technique for solving discrete and continuous nonconvex problems. Zbl 0926.90078
Sherali, Hanif D.; Adams, Warren P.
1999
Handbook of test problems in local and global optimization. Zbl 0943.90001
Floudas, Christodoulos A.; Pardalos, Paǹos M.; Adjiman, Claire S.; Esposito, William R.; Gümüş, Zeynep H.; Harding, Stephen T.; Klepeis, John L.; Meyer, Clifford A.; Schweiger, Carl A.
1999
Minimax theorems and qualitative properties of the solutions of hemivariational inequalities. Zbl 1060.49500
Motreanu, D.; Panagiotopoulos, P. D.
1999
Finite element method for hemivariational inequalities. Theory, methods and applications. Zbl 0949.65069
Haslinger, Jaroslav; Miettinen, Markku; Panagiotopoulos, Panagiotis D.
1999
Introduction to the theory of games. Concepts, methods, applications. Zbl 0941.91001
Forgó, Ferenc; Szidarovszky, Ferenc; Szép, Jenö
1999
Noniterative coordination in multilevel systems. Zbl 0994.90001
Stoilov, Todor; Stoilova, Krassimira
1999
A mathematical structure for emergent computation. Zbl 0947.90100
Korotkich, V.
1999
Practical bilevel optimization. Algorithms and applications. Zbl 0943.90078
Bard, Jonathan F.
1998
Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results. Zbl 0947.90093
Outrata, Jiři; Kočvara, Michal; Zowe, Jochem
1998
Convex analysis and global optimization. Zbl 0904.90156
Tuy, Hoang
1998
Nondifferentiable optimization and polynomial problems. Zbl 0901.49015
Shor, Naum Z.
1998
Semi-infinite programming. Workshop, Cottbus, Germany, September 1996. Zbl 0890.00054
Reemtsen, Rembert; Rückmann, Jan-J.
1998
Multilevel optimization: algorithms and applications. Zbl 0881.00028
Migdalas, Athanasios; Pardalos, Panos M.; Värbrand, Peter
1998
Steiner minimal trees. Zbl 0997.05500
Cieslik, Dietmar
1998
Nonconvex optimization in mechanics. Algorithms, heuristics and engineering applications by the F. E. M. Zbl 0918.73002
Mistakidis, E. S.; Stavroulakis, G. E.
1998
Minimax theory and applications. Proceedings of the workshop, Erice, Italy, September 30–October 6, 1996. Zbl 0892.00041
Ricceri, Biagio; Simons, Stephen
1998
Generalized convexity, generalized monotonicity: recent results. Proceedings of the 5th symposium, Luminy, France, June 17–21, 1996. Zbl 0897.00032
Crouzeix, Jean-Pierre; Martinez-Legaz, Juan-Enrique; Volle, Michel
1998
Robust discrete optimization and its applications. Zbl 0873.90071
Kouvelis, Panos; Yu, Gang
1997
Optimization on low rank nonconvex structures. Zbl 0879.90171
Konno, Hiroshi; Phan Thien Thach; Hoang Tuy
1997
Smooth nonlinear optimization of $$\mathbb R^n$$. Zbl 1009.90109
Rapcsák, Tamás
1997
Bayesian heuristic approach to discrete and global optimization. Algorithms, visualization, software, and applications. Incl. 2 disks. Zbl 0864.65036
Mockus, Jonas; Eddy, William; Mockus, Audris; Mockus, Linas; Reklaitis, Gintaras
1997
Developments in global optimization. Proceedings of the 3rd workshop, Szeged, Hungary, December 10–14, 1995. Zbl 0865.00047
Bomze, Immanuel M.; Csendes, Tibor; Horst, Reiner; Pardalos, Panos M.
1997
Rigorous global search: continuous problems. Zbl 0876.90082
Kearfott, R. Baker
1996
Multicriteria methodology for decision aiding. Transl. from the French by Mark R. McCord. Zbl 0893.90108
Roy, Bernard
1996
Global optimization in action. Continuous and Lipschitz optimization: algorithms, implementations and applications. Zbl 0842.90110
Pintér, János D.
1996
Mathematical classification and clustering. Zbl 0874.90198
Mirkin, B.
1996
Stochastic decomposition. A statistical method for large scale stochastic linear programming. Zbl 0874.90145
Higle, Julia L.; Sen, Suvrajeet
1996
Quasidifferentiability and nonsmooth modelling in mechanics, engineering and economics. Zbl 1076.49500
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1996
State of the art in global optimization: computational methods and applications. Papers of the conference, Princeton, NJ, USA, April 28–30, 1995. Zbl 0847.00058
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1996
Global optimization in engineering design. Zbl 0869.00021
Grossmann, Ignacio E.
1996
Handbook of global optimization. Zbl 0805.00009
Horst, Reiner; Pardalos, Panos M.
1995
Introduction to global optimization. Zbl 0836.90134
Horst, Reiner; Pardalos, Panos M.; Thoai, Nguyen V.
1995
Advances in multicriteria analysis. Zbl 0847.00021
Pardalos, Panos M.; Siskos, Yannis; Zopounidis, Constantin
1995
Minimax and applications. Zbl 0832.00015
Du, Ding-Zhu; Pardalos, Panos M.
1995
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#### Cited by 4,675 Authors

 61 Huang, Nan-Jing 59 Noor, Muhammad Aslam 43 Yao, Jen-Chih 33 Dempe, Stephan 32 Zaslavski, Alexander Yakovlevich 29 Han, Weimin 29 Mordukhovich, Boris S. 28 Kasperski, Adam 28 Migórski, Stanisław 28 Zieliński, Paweł 27 Gao, David Yang 26 Wan, Zhongping 25 Motreanu, Dumitru 25 Pardalos, Panos M. 24 Chiou, Suh-Wen 24 Kanzow, Christian 24 Sergeev, Yaroslav Dmitrievich 23 Ansari, Qamrul Hasan 21 Floudas, Christodoulos Achilleus 21 Noor, Khalida Inayat 21 Outrata, Jiří V. 21 Žilinskas, Antanas 20 Cánovas, María Josefa 20 Jeyakumar, Vaithilingam 20 Parra, Juan 20 Sofonea, Mircea 19 Mohebi, Hossein 19 Rubinov, Alexander M. 19 Sergienko, Ivan Vasylyovych 18 Barton, Paul I. 18 Goerigk, Marc 18 Li, Shengjie 18 López-Cerdá, Marco Antonio 18 Sherali, Hanif D. 17 Ceng, Lu-Chuan 17 Mishra, Shashi Kant 17 Sahinidis, Nikolaos V. 17 Stein, Oliver 17 Wu, Zhiyou 16 Le Thi, Hoai An 16 Li, Jun 16 Yang, Xiaoqi 15 Bagirov, Adil M. 15 Deineka, V. S. 15 Liberti, Leo 15 Lu, Jie 15 Qi, Liqun 15 Yang, Xinmin 15 Yang, Yongjian 15 Zhang, Guangquan 14 Fang, Yaping 14 Nguyen van Thoai 14 Peng, Zaiyun 14 Penot, Jean-Paul 14 Pham Dinh Tao 14 Schöbel, Anita 14 Tuy, Hoang 14 Ye, Jane J. 14 Žilinskas, Julius 13 Averbakh, Igor 13 Chen, Chunrong 13 Greco, Salvatore 13 Kruger, Alexander Ya. 13 Mitsos, Alexander 13 Pham Ngoc Anh 13 Phan Quôc Khánh 13 Teo, Kok Lay 13 Zhang, Liwei 12 Ding, Xie Ping 12 Kalashnikov, Vyacheslav Vitalievich 12 Kvasov, Dmitriĭ Evgen’evich 12 Pang, Jong-Shi 12 Shen, Peiping 12 Nguyen Dong Yen 12 Zopounidis, Constantin 11 Calvete, Herminia I. 11 Chen, Jiawei 11 Farajzadeh, Ali P. 11 Ferreira, Orizon Pereira 11 Galé, Carmen 11 Gfrerer, Helmut 11 Izmailov, Alekseĭ F. 11 Konnov, Igor V. 11 Liu, Sanyang 11 Liu, Zhenhai 11 Mehlitz, Patrick 11 Neumaier, Arnold 11 Sagratella, Simone 11 Słowiński, Roman 11 Uderzo, Amos 11 Varga, Csaba György 10 Anh, Lam Quoc 10 Beliakov, Gleb 10 Costea, Nicuşor 10 Doumpos, Michael 10 Fernandez, Eduardo B. 10 Gazdag-Tóth, Boglárka 10 Gergel, Victor P. 10 Isac, George 10 Jongen, Hubertus Th. ...and 4,575 more Authors
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#### Cited in 409 Journals

 513 Journal of Global Optimization 333 Journal of Optimization Theory and Applications 284 European Journal of Operational Research 167 Optimization Letters 164 Mathematical Programming. Series A. Series B 105 Computers & Operations Research 99 Applied Mathematics and Computation 98 Computational Optimization and Applications 84 Annals of Operations Research 77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 76 Journal of Mathematical Analysis and Applications 73 Optimization 68 Journal of Computational and Applied Mathematics 62 SIAM Journal on Optimization 55 Set-Valued and Variational Analysis 52 Cybernetics and Systems Analysis 42 Optimization Methods & Software 39 Computers & Mathematics with Applications 39 Operations Research Letters 35 Journal of Inequalities and Applications 33 Mathematical Methods of Operations Research 30 Numerical Functional Analysis and Optimization 30 Abstract and Applied Analysis 26 Discrete Applied Mathematics 25 Information Sciences 25 Journal of Applied Mathematics 25 Journal of Industrial and Management Optimization 23 Numerical Algorithms 23 Top 23 Mathematical Problems in Engineering 22 Positivity 21 Applied Mathematics Letters 21 Journal of Applied Mathematics and Computing 19 Automatica 19 Automation and Remote Control 19 Optimization and Engineering 19 RAIRO. Operations Research 19 Nonlinear Analysis. Real World Applications 17 Applied Mathematical Modelling 16 Fuzzy Sets and Systems 16 Reliable Computing 16 Vietnam Journal of Mathematics 16 Fixed Point Theory and Applications 15 Acta Mathematicae Applicatae Sinica. English Series 15 Journal of Scheduling 15 Mathematical Programming Computation 14 Journal of Systems Science and Complexity 13 Set-Valued Analysis 13 CEJOR. Central European Journal of Operations Research 12 Mathematical and Computer Modelling 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Journal of Combinatorial Optimization 12 4OR 12 Journal of the Operations Research Society of China 11 Applied Mathematics and Mechanics. (English Edition) 11 International Journal of Approximate Reasoning 11 Computational and Applied Mathematics 11 Journal of Convex Analysis 11 OR Spectrum 11 Journal of Nonlinear Science and Applications 10 Artificial Intelligence 10 SIAM Journal on Control and Optimization 10 Discrete Optimization 9 Kybernetika 9 Theoretical Computer Science 9 International Transactions in Operational Research 9 Fuzzy Optimization and Decision Making 9 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 8 Opsearch 8 Computational Statistics and Data Analysis 7 Information Processing Letters 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Applied Mathematics and Optimization 7 Mathematics of Operations Research 7 Numerische Mathematik 7 YUJOR. Yugoslav Journal of Operations Research 7 Pattern Recognition 7 Communications in Nonlinear Science and Numerical Simulation 7 International Journal of Applied Mathematics and Computer Science 7 Numerical Algebra, Control and Optimization 7 EURO Journal on Computational Optimization 6 Bulletin of the Australian Mathematical Society 6 Computer Methods in Applied Mechanics and Engineering 6 Mathematics of Computation 6 Journal of Differential Equations 6 Mathematics and Computers in Simulation 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Applied Numerical Mathematics 6 Algorithmica 6 Linear Algebra and its Applications 6 Constraints 6 Mathematics and Mechanics of Solids 6 Soft Computing 6 JMMA. Journal of Mathematical Modelling and Algorithms 6 Structural and Multidisciplinary Optimization 6 Computational Management Science 6 Networks and Spatial Economics 6 Journal of Fixed Point Theory and Applications 6 Operational Research. An International Journal 5 Mathematical Methods in the Applied Sciences ...and 309 more Journals
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#### Cited in 57 Fields

 2,944 Operations research, mathematical programming (90-XX) 957 Calculus of variations and optimal control; optimization (49-XX) 594 Numerical analysis (65-XX) 411 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 334 Operator theory (47-XX) 192 Computer science (68-XX) 153 Partial differential equations (35-XX) 150 Systems theory; control (93-XX) 131 Mechanics of deformable solids (74-XX) 111 Statistics (62-XX) 80 Ordinary differential equations (34-XX) 79 Real functions (26-XX) 70 Global analysis, analysis on manifolds (58-XX) 62 Convex and discrete geometry (52-XX) 59 Functional analysis (46-XX) 47 Biology and other natural sciences (92-XX) 38 Combinatorics (05-XX) 38 General topology (54-XX) 37 Probability theory and stochastic processes (60-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 24 Approximations and expansions (41-XX) 22 Information and communication theory, circuits (94-XX) 17 Fluid mechanics (76-XX) 14 Difference and functional equations (39-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Differential geometry (53-XX) 11 Mechanics of particles and systems (70-XX) 9 History and biography (01-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Algebraic geometry (14-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Mathematical logic and foundations (03-XX) 6 Geophysics (86-XX) 5 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 5 Optics, electromagnetic theory (78-XX) 4 General algebraic systems (08-XX) 4 Special functions (33-XX) 4 Sequences, series, summability (40-XX) 4 Integral equations (45-XX) 4 Geometry (51-XX) 3 Commutative algebra (13-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 Quantum theory (81-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX)