## Lignola, Maria Beatrice

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 Author ID: lignola.maria-beatrice Published as: Lignola, M. Beatrice; Lignola, M. B.; Lignola, Maria Beatrice more...less
 Documents Indexed: 46 Publications since 1981 Co-Authors: 8 Co-Authors with 38 Joint Publications 94 Co-Co-Authors
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### Co-Authors

 8 single-authored 31 Morgan, Jacqueline 4 Del Prete, Immacolata 3 Dolecki, Szymon 2 Guillerme, Jean 2 Malivert, Christian 2 Scalzo, Vincenzo 1 Caruso, Francesco 1 Del Prete, Imma
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### Serials

 8 Journal of Optimization Theory and Applications 4 Optimization 4 Atti del Seminario Matematico e Fisico dell’Università di Modena 3 Journal of Mathematical Analysis and Applications 2 Le Matematiche 2 Ricerche di Matematica 2 Journal of Global Optimization 2 Journal of Convex Analysis 2 Pacific Journal of Optimization 1 Mathematische Nachrichten 1 Rendiconti dell’Accademia delle Scienze Fisiche e Matemàtiche. Serie IV 1 Operations Research Letters 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Computational Optimization and Applications 1 Topological Methods in Nonlinear Analysis 1 Far East Journal of Applied Mathematics 1 Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche. Serie IV 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Optimization Letters
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### Fields

 29 Calculus of variations and optimal control; optimization (49-XX) 20 Operations research, mathematical programming (90-XX) 12 General topology (54-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Operator theory (47-XX) 3 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX)

### Citations contained in zbMATH Open

41 Publications have been cited 397 times in 199 Documents Cited by Year
Well-posedness and $$L$$-well-posedness for quasivariational inequalities. Zbl 1093.49005
Lignola, M. B.
2006
Well-posedness for optimization problems with constraints defined by variational inequalities having a unique solution. Zbl 0960.90079
Lignola, M. Beatrice; Morgan, Jacqueline
2000
$$\alpha$$-well-posedness for Nash equilibria and for optimization problems with Nash equilibrium constraints. Zbl 1105.49029
Lignola, M. Beatrice; Morgan, Jacqueline
2006
Stability of regularized bilevel programming problems. Zbl 0872.90092
Lignola, M. B.; Morgan, J.
1997
Topological existence and stability for Stackelberg problems. Zbl 0826.90148
Lignola, M. B.; Morgan, J.
1995
Semi-continuities of marginal functions in a sequential setting. Zbl 0823.47051
Lignola, M. B.; Morgan, J.
1992
Generalized variational inequalities with pseudomonotone operators under perturbations. Zbl 1126.49305
Lignola, M. B.; Morgan, J.
1999
New concepts of well-posedness for optimization problems with variational inequality constraints. Zbl 1029.49024
Del Prete, Imma; Lignola, M. Beatrice; Morgan, Jacqueline
2003
Convergences of marginal functions with dependent constraints. Zbl 0814.49010
Lignola, M. B.; Morgan, J.
1992
Semincontinuity and episemicontinuity: Equivalence and applications. Zbl 0799.49013
Lignola, M. B.; Morgan, J.
1994
Ky Fan inequalities and Nash equilibrium points without semicontinuity and compactness. Zbl 0886.90183
Lignola, M. B.
1997
Convergence of solutions of quasi-variational inequalities and applications. Zbl 0912.49010
Lignola, M. Beatrice; Morgan, Jacqueline
1997
Topological existence and stability for min sup problems. Zbl 0714.49012
Lignola, M. B.; Morgan, J.
1990
On convergence of closed-valued multifunctions. Zbl 0535.54006
Del Prete, Immacolata; Lignola, M. Beatrice
1983
Inner regularizations and viscosity solutions for pessimistic bilevel optimization problems. Zbl 1373.49042
Lignola, M. Beatrice; Morgan, Jacqueline
2017
Existence of solutions to generalized bilevel programming problem. Zbl 0896.90164
Lignola, Maria Beatrice; Morgan, Jacqueline
1998
Existence for optimization problems with equilibrium constraints in reflexive Banach spaces. Zbl 1116.90403
Lignola, M. Beatrice; Morgan, Jacqueline
2002
Stability in regularized quasi-variational settings. Zbl 1266.49016
Lignola, M. Beatrice; Morgan, Jacqueline
2012
Approximate solutions to variational inequalities and applications. Zbl 0848.49010
Lignola, M. Beatrice; Morgan, Jacqueline
1994
Vector quasi-variational inequalities: approximate solutions and well-posedness. Zbl 1105.49016
Lignola, M. B.; Morgan, J.
2006
On convergence results for weak efficiency in vector optimization problems with equilibrium constraints. Zbl 1152.90594
Lignola, M. B.; Morgan, J.
2007
Asymptotic behavior of semi-quasivariational optimistic bilevel problems in Banach spaces. Zbl 1305.49013
Lignola, M. Beatrice; Morgan, Jacqueline
2015
$$\Gamma$$-inequalities and stability of generalized extremal convolutions. Zbl 0738.49008
Dolecki, S.; Guillerme, J.; Lignola, M. B.; Malivert, C.
1991
Approximating security values of minsup problems with quasi-variational inequality constraints. Zbl 1305.49014
Lignola, M. Beatrice; Morgan, Jacqueline
2014
Existence and approximation results for min-sup problems. Zbl 0900.49007
Lignola, M. Beatrice; Morgan, Jacqueline
1992
Convergences for variational inequalities and generalized variational inequalities. Zbl 0891.49004
Lignola, M. Beatrice; Morgan, Jacqueline
1997
Méthode des $$\Gamma$$-inégalités. (The method of $$\Gamma$$- inequalities). Zbl 0668.49008
Dolecki, Szymon; Guillerme, Jean; Lignola, M. Beatrice; Malivert, Christian
1988
Existence of solutions to bilevel variational problems in Banach spaces. Zbl 0992.49007
Lignola, Maria Beatrice; Morgan, Jacqueline
2001
Approximate values for mathematical programs with variational inequality constraints. Zbl 1284.90093
Lignola, M. Beatrice; Morgan, Jacqueline
2012
Viscosity solutions for bilevel problems with Nash equilibrium constraints. Zbl 1307.49015
Lignola, M. Beatrice; Morgan, Jacqueline
2014
A method to bypass the lack of solutions in minsup problems under quasi-equilibrium constraints. Zbl 1368.90176
Lignola, M. Beatrice; Morgan, Jacqueline
2016
Further on inner regularizations in bilevel optimization. Zbl 1409.49012
Lignola, M. Beatrice; Morgan, Jacqueline
2019
Epiconvergence and continuous convergence. Zbl 0817.54013
Lignola, M. Beatrice; Margan, Jacqueline
1994
Continuous convergence and preservation of convergences of sets. Zbl 0623.54010
Del Prete, I.; Dolecki, S.; Lignola, M. B.
1986
On the variational properties of Gamma-(d)-convergence. Zbl 0517.49010
Del Prete, Immacolata; Lignola, M. Beatrice
1982
Regularization and approximation methods in Stackelberg games and bilevel optimization. Zbl 1479.91064
Caruso, Francesco; Lignola, M. Beatrice; Morgan, Jacqueline
2020
Uniform convergence structures in function spaces and preservation of continuity. Zbl 0666.54011
Del Prete, Immacolata; Lignola, M. Beatrice
1987
Application of a K.K.M theorem to fixed points and Nash equilibria. Zbl 1098.54036
Lignola, M. Beatrice
2003
Lower convergence of approximate solutions to vector quasi-variational problems. Zbl 1198.49009
Lignola, M. Beatrice; Morgan, Jacqueline; Scalzo, Vincenzo
2010
Regularized gap functions for variational problems. Zbl 1160.49026
Lignola, M. B.
2008
On the existence of convergent multifunctions subsequences. Zbl 1145.90431
Del Prete, Immacolata; Lignola, Maria Beatrice
1985
Regularization and approximation methods in Stackelberg games and bilevel optimization. Zbl 1479.91064
Caruso, Francesco; Lignola, M. Beatrice; Morgan, Jacqueline
2020
Further on inner regularizations in bilevel optimization. Zbl 1409.49012
Lignola, M. Beatrice; Morgan, Jacqueline
2019
Inner regularizations and viscosity solutions for pessimistic bilevel optimization problems. Zbl 1373.49042
Lignola, M. Beatrice; Morgan, Jacqueline
2017
A method to bypass the lack of solutions in minsup problems under quasi-equilibrium constraints. Zbl 1368.90176
Lignola, M. Beatrice; Morgan, Jacqueline
2016
Asymptotic behavior of semi-quasivariational optimistic bilevel problems in Banach spaces. Zbl 1305.49013
Lignola, M. Beatrice; Morgan, Jacqueline
2015
Approximating security values of minsup problems with quasi-variational inequality constraints. Zbl 1305.49014
Lignola, M. Beatrice; Morgan, Jacqueline
2014
Viscosity solutions for bilevel problems with Nash equilibrium constraints. Zbl 1307.49015
Lignola, M. Beatrice; Morgan, Jacqueline
2014
Stability in regularized quasi-variational settings. Zbl 1266.49016
Lignola, M. Beatrice; Morgan, Jacqueline
2012
Approximate values for mathematical programs with variational inequality constraints. Zbl 1284.90093
Lignola, M. Beatrice; Morgan, Jacqueline
2012
Lower convergence of approximate solutions to vector quasi-variational problems. Zbl 1198.49009
Lignola, M. Beatrice; Morgan, Jacqueline; Scalzo, Vincenzo
2010
Regularized gap functions for variational problems. Zbl 1160.49026
Lignola, M. B.
2008
On convergence results for weak efficiency in vector optimization problems with equilibrium constraints. Zbl 1152.90594
Lignola, M. B.; Morgan, J.
2007
Well-posedness and $$L$$-well-posedness for quasivariational inequalities. Zbl 1093.49005
Lignola, M. B.
2006
$$\alpha$$-well-posedness for Nash equilibria and for optimization problems with Nash equilibrium constraints. Zbl 1105.49029
Lignola, M. Beatrice; Morgan, Jacqueline
2006
Vector quasi-variational inequalities: approximate solutions and well-posedness. Zbl 1105.49016
Lignola, M. B.; Morgan, J.
2006
New concepts of well-posedness for optimization problems with variational inequality constraints. Zbl 1029.49024
Del Prete, Imma; Lignola, M. Beatrice; Morgan, Jacqueline
2003
Application of a K.K.M theorem to fixed points and Nash equilibria. Zbl 1098.54036
Lignola, M. Beatrice
2003
Existence for optimization problems with equilibrium constraints in reflexive Banach spaces. Zbl 1116.90403
Lignola, M. Beatrice; Morgan, Jacqueline
2002
Existence of solutions to bilevel variational problems in Banach spaces. Zbl 0992.49007
Lignola, Maria Beatrice; Morgan, Jacqueline
2001
Well-posedness for optimization problems with constraints defined by variational inequalities having a unique solution. Zbl 0960.90079
Lignola, M. Beatrice; Morgan, Jacqueline
2000
Generalized variational inequalities with pseudomonotone operators under perturbations. Zbl 1126.49305
Lignola, M. B.; Morgan, J.
1999
Existence of solutions to generalized bilevel programming problem. Zbl 0896.90164
Lignola, Maria Beatrice; Morgan, Jacqueline
1998
Stability of regularized bilevel programming problems. Zbl 0872.90092
Lignola, M. B.; Morgan, J.
1997
Ky Fan inequalities and Nash equilibrium points without semicontinuity and compactness. Zbl 0886.90183
Lignola, M. B.
1997
Convergence of solutions of quasi-variational inequalities and applications. Zbl 0912.49010
Lignola, M. Beatrice; Morgan, Jacqueline
1997
Convergences for variational inequalities and generalized variational inequalities. Zbl 0891.49004
Lignola, M. Beatrice; Morgan, Jacqueline
1997
Topological existence and stability for Stackelberg problems. Zbl 0826.90148
Lignola, M. B.; Morgan, J.
1995
Semincontinuity and episemicontinuity: Equivalence and applications. Zbl 0799.49013
Lignola, M. B.; Morgan, J.
1994
Approximate solutions to variational inequalities and applications. Zbl 0848.49010
Lignola, M. Beatrice; Morgan, Jacqueline
1994
Epiconvergence and continuous convergence. Zbl 0817.54013
Lignola, M. Beatrice; Margan, Jacqueline
1994
Semi-continuities of marginal functions in a sequential setting. Zbl 0823.47051
Lignola, M. B.; Morgan, J.
1992
Convergences of marginal functions with dependent constraints. Zbl 0814.49010
Lignola, M. B.; Morgan, J.
1992
Existence and approximation results for min-sup problems. Zbl 0900.49007
Lignola, M. Beatrice; Morgan, Jacqueline
1992
$$\Gamma$$-inequalities and stability of generalized extremal convolutions. Zbl 0738.49008
Dolecki, S.; Guillerme, J.; Lignola, M. B.; Malivert, C.
1991
Topological existence and stability for min sup problems. Zbl 0714.49012
Lignola, M. B.; Morgan, J.
1990
Méthode des $$\Gamma$$-inégalités. (The method of $$\Gamma$$- inequalities). Zbl 0668.49008
Dolecki, Szymon; Guillerme, Jean; Lignola, M. Beatrice; Malivert, Christian
1988
Uniform convergence structures in function spaces and preservation of continuity. Zbl 0666.54011
Del Prete, Immacolata; Lignola, M. Beatrice
1987
Continuous convergence and preservation of convergences of sets. Zbl 0623.54010
Del Prete, I.; Dolecki, S.; Lignola, M. B.
1986
On the existence of convergent multifunctions subsequences. Zbl 1145.90431
Del Prete, Immacolata; Lignola, Maria Beatrice
1985
On convergence of closed-valued multifunctions. Zbl 0535.54006
Del Prete, Immacolata; Lignola, M. Beatrice
1983
On the variational properties of Gamma-(d)-convergence. Zbl 0517.49010
Del Prete, Immacolata; Lignola, M. Beatrice
1982
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### Cited by 208 Authors

 36 Morgan, Jacqueline 19 Lignola, Maria Beatrice 11 Fang, Yaping 10 Hu, Rong 10 Huang, Nan-Jing 9 Anh, Lam Quoc 9 Phan Quôc Khánh 8 Yao, Jen-Chih 7 Aboussoror, Abdelmalek 7 Ceng, Lu-Chuan 7 Scalzo, Vincenzo 6 Wan, Zhongping 6 Wangkeeree, Rabian 6 Zheng, Yue 5 De Marco, Giuseppe 5 Huang, Xuexiang 5 Mallozzi, Lina 4 Adly, Samir 4 Dolecki, Szymon 4 Hung, Nguyen Van 4 Romaniello, Maria 4 Xiao, Yibin 4 Yang, Xinmin 3 Aussel, Didier 3 Bantaojai, Thanatporn 3 Chen, Jiawei 3 Cho, Yeol Je 3 Lampariello, Lorenzo 3 Li, Gaoxi 3 Loridan, Pierre 3 Peng, Jianwen 3 Peng, Zaiyun 3 Sagratella, Simone 3 Srivastava, Manjari K. 3 Teo, Kok Lay 3 Virmani, Garima 2 Ait Mansour, Mohamed 2 Beer, Gerald Alan 2 Bhatia, Guneet 2 Bogdan, Marcel 2 Bonnel, Henri 2 Boonman, Panatda 2 Caruso, Francesco 2 Ceparano, Maria Carmela 2 Chuang, Chih-Sheng 2 Dempe, Stephan 2 Duoc, Pham Thanh 2 Giuli, Massimiliano 2 Jha, Shalini 2 Jiang, Bo 2 Kolumbán, József 2 Lalitha, C. S. 2 Levi, Sandro 2 Li, Xiaobo 2 Liou, Yeongcheng 2 Long, Xianjun 2 Luu, Le Minh 2 Mansouri, Abdelatif 2 Mordukhovich, Boris S. 2 O’Regan, Donal 2 Penot, Jean-Paul 2 Raucci, Roberto 2 Saissi, Fatima Ezzahra 2 Svensson, Anton 2 Tam, Tran Ngoc 2 Tam, Vo Minh 2 Tang, Jing 2 Tian, Guoqiang 2 Tijs, Stef H. 2 Treanţă, Savin 2 Wang, Sanhua 2 Wen, Chingfeng 2 Wets, Roger Jean-Baptiste 2 Yang, Xiaoqi 2 Yao, Yonghong 2 Yimmuang, Panu 2 Yu, Jian 2 Zhang, Jianhao 1 Agarwal, Ravi P. 1 Akram, Mohammad 1 Bagh, Adib 1 Bandhyopadhyay, Sanghamitra 1 Bergounioux, Maïtine 1 Bigi, Giancarlo 1 Borisovich, Yuriĭ Grigor’evich 1 Branzei, Rodica M. 1 Bressan, Alberto 1 Castellani, Marco 1 Chang, Shih-Sen 1 Chen, Jingxiao 1 Chen, Zhong 1 Cheng, Cao-Zong 1 Ciardiello, Francesco 1 Collonge, Julien 1 Costantini, Camillo 1 Cotrina, John 1 Dang Thi My Van 1 Darabi, Marzie 1 Das, Prasun 1 Delfour, Michel Claude ...and 108 more Authors
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### Cited in 62 Serials

 35 Journal of Optimization Theory and Applications 22 Optimization 14 Journal of Global Optimization 11 Journal of Mathematical Analysis and Applications 9 Journal of Inequalities and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Abstract and Applied Analysis 5 Journal of Applied Mathematics 5 Journal of Fixed Point Theory and Applications 4 Optimization Letters 3 Computers & Mathematics with Applications 3 Acta Mathematicae Applicatae Sinica. English Series 3 Annals of Operations Research 3 Computational Optimization and Applications 3 Set-Valued Analysis 3 Positivity 3 Fixed Point Theory and Applications 3 Journal of Nonlinear Science and Applications 2 Numerical Functional Analysis and Optimization 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Operations Research Letters 2 Mathematical Programming. Series A. Series B 2 SIAM Journal on Optimization 2 Vietnam Journal of Mathematics 2 Mathematical Methods of Operations Research 2 International Game Theory Review 2 Thai Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Mathematical Economics 1 Journal of Soviet Mathematics 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Topology and its Applications 1 Mathematical Social Sciences 1 International Journal of Approximate Reasoning 1 Applications of Mathematics 1 European Journal of Operational Research 1 Applied Mathematics. Series B (English Edition) 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 Economic Theory 1 Top 1 INFORMS Journal on Computing 1 Mathematical Communications 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 RAIRO. Operations Research 1 Nonlinear Analysis. Real World Applications 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 Journal of Industrial and Management Optimization 1 Set-Valued and Variational Analysis 1 Dynamic Games and Applications 1 Journal of the Operations Research Society of China 1 Journal of Function Spaces 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Nonlinear and Variational Analysis 1 SN Operations Research Forum
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### Cited in 17 Fields

 118 Operations research, mathematical programming (90-XX) 111 Calculus of variations and optimal control; optimization (49-XX) 53 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Operator theory (47-XX) 18 General topology (54-XX) 8 Functional analysis (46-XX) 7 Numerical analysis (65-XX) 5 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)