By C. Castaing, M. Saadoune (auth.), Shigeo Kusuoka, Akira Yamazaki (eds.)

ISBN-10: 4431727337

ISBN-13: 9784431727330

ISBN-10: 4431727612

ISBN-13: 9784431727613

A lot of financial difficulties can formulated as limited optimizations and equilibration in their options. a variety of mathematical theories were delivering economists with imperative machineries for those difficulties bobbing up in fiscal thought. Conversely, mathematicians were prompted by way of a variety of mathematical problems raised by means of financial theories. The sequence is designed to compile these mathematicians who have been heavily drawn to getting new hard stimuli from monetary theories with these economists who're looking for powerful mathematical instruments for his or her researchers. contributors of the editorial board of this sequence contains following well-liked economists and mathematicians: coping with Editors: S. Kusuoka (Univ. Tokyo), A. Yamazaki (Hitotsubashi Univ.) - Editors: R. Anderson (U.C.Berkeley), C. Castaing (Univ. Montpellier II), F. H. Clarke (Univ. Lyon I), E. Dierker (Univ. Vienna), D. Duffie (Stanford Univ.), L.C. Evans (U.C. Berkeley), T. Fujimoto (Fukuoka Univ.), J. -M. Grandmont (CREST-CNRS), N. Hirano (Yokohama nationwide Univ.), L. Hurwicz (Univ. of Minnesota), T. Ichiishi (Hitotsubashi Univ.), A. Ioffe (Israel Institute of Technology), S. Iwamoto (Kyushu Univ.), ok. Kamiya (Univ. Tokyo), okay. Kawamata (Keio Univ.), N. Kikuchi (Keio Univ.), T. Maruyama (Keio Univ.), H. Matano (Univ. Tokyo), ok. Nishimura (Kyoto Univ.), M. ok. Richter (Univ. Minnesota), Y. Takahashi (Kyoto Univ.), M. Valadier (Univ. Montpellier II), M. Yano (Keio Univ).

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References 1. : Methodes de troncature appliquees a des problemes de convergence faible ou forte dans L^. Arch. Rational Mech. Anal. 117, 167-191 (1992) Komlos type convergence with applications 29 2. : New fundamentals of Young measure convergence. In: Calculus of variations and optimal control, Haifa (1998), Chapman Hall, Boca Raton 24-48 (2000) 3. : A general approach to lower semicontinuity result and lower closure in optimal control theory. SIAM J. Control Optim. 22, 570-598 (1984) 4. : Two generalizations of Komlos theorem with lower closuretype aplications.

Econ. fr) Received: August 8, 2006 Revised: November 24, 2006 JEL classification: C62, E32, 041 Mathematics Subject Classification (2000): 37C70, 37N40, 37C75, 39A11 Abstract. The aim of this paper is to discuss the role of the elasticity of capital-labor substitution on the local determinacy properties of the steady state in a two-sector economy with CES technologies and sector-specific externalities. Key words: sector-specific externalities, constant returns, capital-labor substitution, indeterminacy.

The set offixedpoints of such a generaUzed nonexpansive retraction is C. Weak and strong convergence theorems for new resolvents 55 The following result was obtained in [4]. 2 ([4]). Let C he a nonempty closed subset of a smooth and strictly convex Banach space E. Let Re be a retraction ofE onto C. Then Re is sunny and generalized nonexpansive if and only if {x-Rcx,JRcx-Jy) > 0, for each x e E and y e C, where J is the duality mapping of E. Let £ be a reflexive, strictly convex, and smooth Banach space with its dual £*.

### Advances in Mathematical Economics by C. Castaing, M. Saadoune (auth.), Shigeo Kusuoka, Akira Yamazaki (eds.)

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