Zobrazeno 1 - 10
of 120
pro vyhledávání: '"Sagara, Nobusumi"'
Autor:
Khan, M. Ali, Sagara, Nobusumi
We present the equivalence between the fuzzy core and the core under minimal assumptions. Due to the exact version of the Lyapunov convexity theorem in Banach spaces, we clarify that the additional structure of commodity spaces and preferences is unn
Externí odkaz:
http://arxiv.org/abs/2112.15539
The main goal of this paper is to apply the machinery of variational analysis and generalized differentiation to study infinite horizon stochastic dynamic programming (DP) with discrete time in the Banach space setting without convexity assumptions.
Externí odkaz:
http://arxiv.org/abs/1909.00387
Autor:
Sagara, Nobusumi
Motivated by the Lyapunov convexity theorem in infinite dimensions, we extend the convexity of the integral of a decomposable set to separable Banach spaces under the strengthened notion of nonatomicity of measure spaces, called "saturation", and pro
Externí odkaz:
http://arxiv.org/abs/1903.04301
Autor:
Sagara, Nobusumi
This paper exemplifies that saturation is an indispensable structure on measure spaces to obtain the existence and characterization of solutions to nonconvex variational problems with integral constraints in Banach spaces and their dual spaces. We pr
Externí odkaz:
http://arxiv.org/abs/1902.09533
Autor:
Frankowska, Hélène, Sagara, Nobusumi
We investigate the value function of an infinite horizon variational problem in the infinite-dimensional setting. Firstly, we provide an upper estimate of its Dini--Hadamard subdifferential in terms of the Clarke subdifferential of the Lipschitz cont
Externí odkaz:
http://arxiv.org/abs/1801.00400
Autor:
Sagara, Nobusumi
The purpose of this paper is twofold. First, we axiomatize preference relations on a $\sigma$-algebra of a saturated measure space represented by a vector measure and furnish a utility representation in terms of a nonadditive measure satisfying the a
Externí odkaz:
http://arxiv.org/abs/1711.05973
Autor:
Sagara, Nobusumi
We investigate variational problems with recursive integral functionals governed by infinite-dimensional differential inclusions with an infinite horizon and present an existence result in the setting of nonreflexive Banach spaces. We find an optimal
Externí odkaz:
http://arxiv.org/abs/1703.01466
Autor:
Khan, M. Ali, Sagara, Nobusumi
This essay has three objectives: (i) to report recent generalizations of Fatou's lemma to multi-functions taking values in a Banach space, and framed in terms of both Bochner and Gelfand integration; (ii) to delineate the importance of Galerkin appro
Externí odkaz:
http://arxiv.org/abs/1610.04776
Autor:
Khan, M. Ali, Sagara, Nobusumi
Whereas "convexification by aggregation" is a well-understood procedure in mathematical economics, "convexification by randomization" has largely been limited to theories of statistical decision-making, optimal control and non-cooperative games. In t
Externí odkaz:
http://arxiv.org/abs/1606.01648
Autor:
Sagara, Nobusumi
We formulate bang-bang, purification, and minimization principles in dual Banach spaces with Gelfand integrals and provide a complete characterization of the saturation property of finite measure spaces. We also present a new application of the relax
Externí odkaz:
http://arxiv.org/abs/1604.02514