Mappings of bounded variation with values in a metric space: Generalizations

Journal of Mathematical Sciences

Volumn 100, Issue 6, 2000, Pages 2700-2715

  Chistyakov, V V ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001622928     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02672711     Document Type: Article

References (15)

1. V. Barbu, and Th. Precupanu, Convexity and Optimization in Banach Spaces, Sijthoff and Noordhoff, The Netherlands (1978).
2. V. V. Chistyakov, "On mappings of bounded variation," J. Dyn. Cont Syst., 3, No. 2, 261-289 (1997).
3. V. V. Chistyakov, "A contribution to the theory of set-valued mappings of bounded variation of one real variable," Mat. Sb., 189, No. 5, 153-176 (1998).
4. V. V. Chistyakov, "Selections of set-valued mappings of bounded Riesz p-variation and their differentiability properties," Mat. Sb. (in press).
5. V. V. Chistyakov, "Existence of selections of set-valued mappings of bounded variation," Positivity (in press).
6. V. V. Chistyakov, "Metric space-valued mappings of bounded variation," Izv. Ross. Akad. Nauk (in press).
7. V. V. Chistyakov, "Set-valued mappings of bounded variation and their regular selections," in: International Conference Dedicated to the 90th Anniversary of the Birth of L. S. Pontryagin. Abstracts: Optimal Control & Appendices, Moscow State (Lomonosov) University, Moscow (1998), pp. 44-46.
8. H. Hermes, "On continuous and measurable selections and the existence of solutions of generalized differential equations," Proc. Amer. Math. Soc., 29, No. 3, 535-542 (1971).
9. N. Kikuchi and Y. Tonita, "On the absolute continuity of multifunctions and orientor fields," Funk. Ekvacioj, 14, No. 3, 161-170 (1971).
10. Y. Komura, "Nonlinear semi-groups in Hilbert spaces," J. Math. Soc. Jpn., 19, 493-507 (1967).
11. Yu. T. Medvedev, "A generalization of a theorem due to F. Riesz," Usp. Mat. Nauk, 8, No. 6, 115-118 (1953).
12. B. Sh. Mordukhovich, Approximations Methods in the Problems of Optimization and Control [in Russian], Nauka, Moscow (1988).
13. I.P. Natanson, Theory of Functions of a Real Variable, Frederick Ungar, New York (1965).
14. F. Riesz, "Untersuchungen über Systeme integrierbarer Funktionen," Math. Ann., 69, 449-497 (1910).
15. Qiji. Zhu, "Single valued representation of absolutely continuous set-valued mappings," Kexue Tongbao, 31, 443-446 (1986).