Multi-valued mappings and fixed points II

Tamkang Journal of Mathematics

Volumn 37, Issue 1, 2006, Pages 27-46

  Dhage, B C ^a  

^a Kasubai   (India)

Author keywords

Fixed point theorem and differential inclusion; Multi valued map

Indexed keywords

EID: 33746498599     PISSN: 00492930     EISSN: None     Source Type: Journal    
DOI: 10.5556/j.tkjm.37.2006.177     Document Type: Article

References (24)

1. J. Appell, H. T. Nguyen and P. Zabreiko, Multivalued superposition operators in ideal spaces of vector spaces III, Indag. Msth. 3(1992), 1-9.
2. J. Banas and K. Goebel, Measures of Noncompactness in Banach Spaces, Marcel Dekker Inc., New York, 1980.
3. J. Aubin and A. Cellina, Differential Inclusions, Springer Verlag, 1984.
4. H. Covitz and S. B. Nadler Jr., Multivalued contraction mappings in generalized metric spaces, Israel J. Math. 8(1970), 5-11.
5. K. Deimling, Multivalued Differential Equations, W. de Gruyter, 1992.
6. B. C. Dhage, On some variants of Schauder's fixed point principle and applications to nonlinear integral equations, J. Math. Phy. Sci. 25(1988), 603-611.
7. B. C. Dhage, Some fixed point theorems in ordered Banach spaces and applications, The Math. Student 63(3-4) (1992), 81-88.
8. B. C. Dhage, Multi-valued mappings and fixed points I, Nonlinear Funct. Anal. & Appl. 10 (2005), 359-378.
9. A. Granas and J. Dugundji, Fixed Point Theory, Springer Verlag, 2003.
10. S. Hu and N. S. Papageorgiou, Handbook of Multivalued Analysis, Vol. I: Theory, Kluwer Academic Publishers Dordrechet / Boston / London, 1997.
11. M. Kisielewicz, Differential Inclusions and Optimal Control, Kluwer Acad. Publ., Dordrecht, 1991.
12. M. A. Krasnoselskii, Topological Methods in the Theory of Nonlinear Integral Equations, Pergamon Press, 1964.
13. A. Lasota, and Z. Opial, An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys. 13 (1965), 781-786.
14. T. C. Lim, On fixed point stability for set-valued contraction mappings with applications to generalized differential equations, J. Math. Anal. Appl. 110 (1985), 436-441.
15. M. Martelli, A Rothe's type theore for noncompact acyclic-valued maps, Bull. Un. Mat. Ital. 4(1975), 70-76.
16. A. Petruşel, A generalization of Krasnoselskii's fixed point theorem, Proc. Sci. Comm. Meeting of " Aurel Vlaicu" Univ. Arad, vol. 14A (1996), 109-112.
17. A. Petruşel, Multivalued operators and continuous selections. The fixed points set, P.U.M.A. 9 (1998), 165-170.
18. W. V. Petryshyn and P. M. Fitzpatrtik, A degree theory, fixed point theorems, and mappings theorems for multi-valued noncompact mappings, Trans. Amer. Math. Soc. 194 (1974), 1-25.
19. D. O'Regan, Fixed-point theory for the sum of two operators, Appl. Math. Lett. 9 (1996), 1-8.
20. D. O'Regan, New fixed point results for 1-set contractive set-valued maps, Computes Math. Appl. 35(1998), 27-34.
21. I. A. Rus, Technique of the fixed point structures for multivalued mappings, Math. Japonica 38 (1993), 289-296.
22. L. Rybinski, An application of the continuous selection theorem to the study of the fixed points of multivalued mappings, J. Math. Anal. Appl. 153 (1990), 391-396.
23. D. H. Tan, Two fixed point theorems of Krasnoselskii type, Rev. Roumaine Math. Pures Appl. 32 (1987), 397-400.
24. Z. E. Zeidler, Nonlinear Functional Analysis and Its Applications: Part I, Springer Verlag, 1985.