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## Sagara, Nobusumi

Compute Distance To:
 Author ID: sagara.nobusumi Published as: Sagara, N.; Sagara, Nobusumi
 Documents Indexed: 41 Publications since 2001

#### Co-Authors

 23 single-authored 8 Khan, Mohammed Ali 5 Vlach, Milan 3 Husseinov, Farhad 1 Mordukhovich, Boris S. 1 Suzuki, Takashi
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#### Serials

 4 Fuzzy Sets and Systems 3 Journal of Mathematical Analysis and Applications 3 Journal of Convex Analysis 3 Set-Valued and Variational Analysis 3 Pure and Applied Functional Analysis 2 SIAM Journal on Control and Optimization 1 Illinois Journal of Mathematics 1 International Journal of Game Theory 1 Journal of Mathematical Economics 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Mathematical Social Sciences 1 Social Choice and Welfare 1 Economic Theory 1 Positivity 1 RIMS Kokyuroku 1 Pacific Journal of Optimization 1 Discrete and Continuous Dynamical Systems. Series S 1 Linear and Nonlinear Analysis
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#### Fields

 25 Measure and integration (28-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Functional analysis (46-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 99 times in 51 Documents Cited by Year
Maharam-types and Lyapunov’s theorem for vector measures on Banach spaces. Zbl 1298.28027
Khan, M. Ali; Sagara, Nobusumi
2013
Maharam-types and Lyapunov’s theorem for vector measures on locally convex spaces with control measures. Zbl 1331.28025
Khan, M. Ali; Sagara, Nobusumi
2015
Value functions and transversality conditions for infinite-horizon optimal control problems. Zbl 1182.49021
Sagara, Nobusumi
2010
The bang-bang, purification and convexity principles in infinite dimensions. Zbl 1303.49003
Khan, M. Ali; Sagara, Nobusumi
2014
Subdifferentials of nonconvex integral functionals in Banach spaces with applications to stochastic dynamic programming. Zbl 1392.49020
Mordukhovich, Boris S.; Sagara, Nobusumi
2018
Relaxed large economies with infinite-dimensional commodity spaces: the existence of Walrasian equilibria. Zbl 1368.91131
Khan, M. Ali; Sagara, Nobusumi
2016
Cores and Weber sets for fuzzy extensions of cooperative games. Zbl 1376.91024
Sagara, Nobusumi
2015
A characterization of $$\alpha$$-maximin solutions of fair division problems. Zbl 1152.91434
Sagara, Nobusumi
2008
An indirect method of nonconvex variational problems in Asplund spaces: the case for saturated measure spaces. Zbl 1354.49010
Sagara, Nobusumi
2015
Weak sequential convergence in $$L^1(\mu,X)$$ and an exact version of Fatou’s lemma. Zbl 1326.46037
Ali Khan, M.; Sagara, Nobusumi
2014
Concave measures and the fuzzy core of exchange economies with heterogeneous divisible commodities. Zbl 1251.91043
Hüsseinov, Farhad; Sagara, Nobusumi
2012
Convexity of the lower partition range of a concave vector measure. Zbl 1198.28018
Sagara, Nobusumi; Vlach, Milan
2010
Representation of preference relations on $$\sigma$$-algebras of nonatomic measure spaces: convexity and continuity. Zbl 1176.91023
Sagara, Nobusumi; Vlach, Milan
2009
Relaxation and purification for nonconvex variational problems in dual Banach spaces: the minimization principle in saturated measure spaces. Zbl 1379.49008
Sagara, Nobusumi
2017
Maharam-types and Lyapunov’s theorem for vector measures on locally convex spaces without control measures. Zbl 1347.28013
Khan, M. Ali; Sagara, Nobusumi
2016
Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities. Zbl 1288.91125
Hüsseinov, Farhad; Sagara, Nobusumi
2013
Nonconvex variational problem with recursive integral functionals in Sobolev spaces: existence and representation. Zbl 1105.49017
Sagara, Nobusumi
2007
Fatou’s lemma, Galerkin approximations and the existence of Walrasian equilibria in infinite dimensions. Zbl 1406.91239
Khan, M. Ali; Sagara, Nobusumi
2017
An exact Fatou lemma for Gelfand integrals: a characterization of the Fatou property. Zbl 1339.28017
Khan, M. Ali; Sagara, Nobusumi; Suzuki, Takashi
2016
A probabilistic representation of exact games on image-algebras. Zbl 1291.91019
Sagara, Nobusumi
2013
A new class of convex games on $$\sigma$$-algebras and the optimal partitioning of measurable spaces. Zbl 1235.91019
Sagara, Nobusumi; Vlach, Milan
2011
Convex functions on $$\sigma$$-algebras of nonatomic measure spaces. Zbl 1195.28003
Sagara, Nobusumi; Vlach, Milan
2010
An existence result on partitioning of a measurable space: Pareto optimality and core. Zbl 1249.90241
Sagara, Nobusumi
2006
Optimal growth with recursive utility: An existence result without convexity assumptions. Zbl 0990.91043
Sagara, N.
2001
Recursive variational problems in nonreflexive Banach spaces with an infinite horizon: an existence result. Zbl 1408.49006
Sagara, Nobusumi
2018
Convex functions on $$\sigma$$-algebras of nonatomic measure spaces. Zbl 1232.28004
Sagara, Nobusumi; Vlach, Milan
2009
A Lyapunov-type theorem for nonadditive vector measures. Zbl 1273.28010
Sagara, Nobusumi
2009
Subdifferentials of nonconvex integral functionals in Banach spaces with applications to stochastic dynamic programming. Zbl 1392.49020
Mordukhovich, Boris S.; Sagara, Nobusumi
2018
Recursive variational problems in nonreflexive Banach spaces with an infinite horizon: an existence result. Zbl 1408.49006
Sagara, Nobusumi
2018
Relaxation and purification for nonconvex variational problems in dual Banach spaces: the minimization principle in saturated measure spaces. Zbl 1379.49008
Sagara, Nobusumi
2017
Fatou’s lemma, Galerkin approximations and the existence of Walrasian equilibria in infinite dimensions. Zbl 1406.91239
Khan, M. Ali; Sagara, Nobusumi
2017
Relaxed large economies with infinite-dimensional commodity spaces: the existence of Walrasian equilibria. Zbl 1368.91131
Khan, M. Ali; Sagara, Nobusumi
2016
Maharam-types and Lyapunov’s theorem for vector measures on locally convex spaces without control measures. Zbl 1347.28013
Khan, M. Ali; Sagara, Nobusumi
2016
An exact Fatou lemma for Gelfand integrals: a characterization of the Fatou property. Zbl 1339.28017
Khan, M. Ali; Sagara, Nobusumi; Suzuki, Takashi
2016
Maharam-types and Lyapunov’s theorem for vector measures on locally convex spaces with control measures. Zbl 1331.28025
Khan, M. Ali; Sagara, Nobusumi
2015
Cores and Weber sets for fuzzy extensions of cooperative games. Zbl 1376.91024
Sagara, Nobusumi
2015
An indirect method of nonconvex variational problems in Asplund spaces: the case for saturated measure spaces. Zbl 1354.49010
Sagara, Nobusumi
2015
The bang-bang, purification and convexity principles in infinite dimensions. Zbl 1303.49003
Khan, M. Ali; Sagara, Nobusumi
2014
Weak sequential convergence in $$L^1(\mu,X)$$ and an exact version of Fatou’s lemma. Zbl 1326.46037
Ali Khan, M.; Sagara, Nobusumi
2014
Maharam-types and Lyapunov’s theorem for vector measures on Banach spaces. Zbl 1298.28027
Khan, M. Ali; Sagara, Nobusumi
2013
Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities. Zbl 1288.91125
Hüsseinov, Farhad; Sagara, Nobusumi
2013
A probabilistic representation of exact games on image-algebras. Zbl 1291.91019
Sagara, Nobusumi
2013
Concave measures and the fuzzy core of exchange economies with heterogeneous divisible commodities. Zbl 1251.91043
Hüsseinov, Farhad; Sagara, Nobusumi
2012
A new class of convex games on $$\sigma$$-algebras and the optimal partitioning of measurable spaces. Zbl 1235.91019
Sagara, Nobusumi; Vlach, Milan
2011
Value functions and transversality conditions for infinite-horizon optimal control problems. Zbl 1182.49021
Sagara, Nobusumi
2010
Convexity of the lower partition range of a concave vector measure. Zbl 1198.28018
Sagara, Nobusumi; Vlach, Milan
2010
Convex functions on $$\sigma$$-algebras of nonatomic measure spaces. Zbl 1195.28003
Sagara, Nobusumi; Vlach, Milan
2010
Representation of preference relations on $$\sigma$$-algebras of nonatomic measure spaces: convexity and continuity. Zbl 1176.91023
Sagara, Nobusumi; Vlach, Milan
2009
Convex functions on $$\sigma$$-algebras of nonatomic measure spaces. Zbl 1232.28004
Sagara, Nobusumi; Vlach, Milan
2009
A Lyapunov-type theorem for nonadditive vector measures. Zbl 1273.28010
Sagara, Nobusumi
2009
A characterization of $$\alpha$$-maximin solutions of fair division problems. Zbl 1152.91434
Sagara, Nobusumi
2008
Nonconvex variational problem with recursive integral functionals in Sobolev spaces: existence and representation. Zbl 1105.49017
Sagara, Nobusumi
2007
An existence result on partitioning of a measurable space: Pareto optimality and core. Zbl 1249.90241
Sagara, Nobusumi
2006
Optimal growth with recursive utility: An existence result without convexity assumptions. Zbl 0990.91043
Sagara, N.
2001
all top 5

#### Cited by 57 Authors

 16 Sagara, Nobusumi 4 Khan, Mohammed Ali 3 Hantoute, Abderrahim 3 Khlopin, Dmitriĭ Valer’evich 3 Nitzan, Shmuel I. 3 Segal-Halevi, Erel 2 Adam, Lukáš 2 Artstein, Zvi 2 Aumann, Yonatan 2 Correa, Rafael 2 Frankowska, Hélène 2 Graziano, Maria Gabriella 2 Hassidim, Avinatan 2 Husseinov, Farhad 2 Kroupa, Tomáš 2 Pérez-Aros, Pedro 2 Vlach, Milan 1 Aseev, Sergei M. 1 Askoura, Youcef 1 Basile, Achille 1 Bhowmik, Anuj 1 Cannarsa, Piermarco 1 Chen, Xiaohong 1 Deng, Li 1 Di Caprio, Debora 1 Haier, Andreas 1 Hammond, Peter J. 1 He, Wei 1 Jang, Hyo Seok 1 Jaśkiewicz, Anna 1 Jourani, Abderrahim 1 Lee, Sangjik 1 Legut, Jerzy 1 Mehlitz, Patrick 1 Meng, Fanyong 1 Molchanov, Ilya S. 1 Mordukhovich, Boris S. 1 Nowak, Andrzej S. 1 Santambrogio, Filippo 1 Santos-Arteaga, Francisco J. 1 Stonyakin, Fedor Sergeevich 1 Sun, Yeneng 1 Suzuki, Takashi 1 Tarantino, Ciro 1 Tavana, Madjid 1 Urbinati, Niccolò 1 Veliov, Vladimir M. 1 Wachsmuth, Gerd 1 Wilczyński, Maciej 1 Wu, Hsien-Chung 1 Xepapadeas, Anastasios 1 Y. N. Sun, Yeneng 1 Yannacopoulos, Athanasios N. 1 Yu, Xiaohui 1 Zaslavski, Alexander Yakovlevich 1 Zhang, Qiang 1 Zhou, Zhen
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#### Cited in 26 Serials

 8 Journal of Mathematical Analysis and Applications 4 Fuzzy Sets and Systems 4 Journal of Mathematical Economics 2 Advances in Mathematics 2 International Journal of Game Theory 2 SIAM Journal on Control and Optimization 2 Social Choice and Welfare 2 Optimization 2 Vietnam Journal of Mathematics 2 Journal of Dynamical and Control Systems 2 Set-Valued and Variational Analysis 1 Russian Mathematical Surveys 1 Information Sciences 1 Journal of Functional Analysis 1 Kybernetika 1 Mathematics of Operations Research 1 Journal of Economics 1 Asia-Pacific Journal of Operational Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Mathematical Sciences (New York) 1 Journal of Convex Analysis 1 Positivity 1 Fuzzy Optimization and Decision Making 1 Discrete and Continuous Dynamical Systems. Series S 1 Games 1 Statistics & Risk Modeling
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#### Cited in 13 Fields

 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 15 Measure and integration (28-XX) 8 Functional analysis (46-XX) 7 Operations research, mathematical programming (90-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 General topology (54-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX)