Differential Inclusions for fuzzy maps

Fuzzy Sets and Systems

Volumn 112, Issue 2, 2000, Pages 257-261

  Zhu, Yuanguo ^a   Rao, Ling ^a  

^a Dept of Math and Computer Sciences   (China)

Author keywords

Closed fuzzy map; Differential inclusion; Fixed point; Lower open fuzzy map; Selection

Indexed keywords

EID: 0347110865     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(98)00077-3     Document Type: Article

References (10)

1. J.P. Aubin, A. Cellina, Differential Inclusions, Springer, Berlin, 1984.
2. C. Castaing, M. Valabier, Convex Analysis and Measurable Multifunction, Springer, Berlin, 1984.
3. S.S. Chang, Fixed Point Theory and Applications, Chongqing Press, Chongqing, China, 1984.
4. S.S. Chang, Y.G. Zhu, On variational inequalities for fuzzy mappings, Fuzzy Sets and Systems 32 (1989) 359-368.
5. D.J. Guo, Nonlinear Functional Analysis, Shandong Sciences and Technology Press, Jinan, China, 1985.
6. S. Itoh, A random fixed point theorem for a multivalued contraction mapping, Pacific J. Math. 68 (1977) 85-90.
7. V. Lakshmikantham, S. Leela, Nonlinear Differential Equations in Abstract Spaces, Pergamon Press, New York, 1981.
8. S.B. Nadler, Jr., Muti-valued contraction mappings, Pacific J. Math. 30 (1969) 475-488.
9. N.C. Yannelis, N.D. Prabhakar, Existence of minimal elements and equilibria, in linear topological spaces, J. Math. Econom. 12 (1983) 233-245.
10. Y.G. Zhu, Generalized variational inequalities for fuzzy maps, Fuzzy Sets and Systems 69 (1995) 221-229.