Monotone increasing multi-valued condensing random operators and random differential inclusions
B. C. Dhage, Kasubai, Gurucul Colony, Maharashtra, India E. J. Qualitative Theory of Diff. Equ., No. 15. (2006), pp. 1-20.
S. K. Ntouyas, University of Ioannina, Ioannina, Greece
D. S. Palimkar, Kasubai, Gurucul Colony, Maharashtra, India
| Communicated by J. R. Graef. | Received on 2006-07-26 Appeared on 2006-10-13 |
Abstract: In this paper, some random fixed point theorems for monotone increasing, condensing and closed multi-valued random operators are proved. They are then applied to first order ordinary nonconvex random differential inclusions for proving the existence of solutions as well as the existence of extremal solutions under certain monotonicity conditions.
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