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Fixed-point theorems for discontinuous multivalued operators on ordered spaces with applications

✍ Scribed by B.C. Dhage

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
871 KB
Volume
51
Category
Article
ISSN
0898-1221

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✦ Synopsis

A b s t r a c t --I n this paper, some fixed-point theorems for discontinuous multivalued operators on ordered spaces are proved. These theorems improve the earlier known fixed-point theorems of [1,2]. The main fixed-point theorems are applied to first-order discontinuous differential inclusions for proving the existence of extremal solutions under certain monotonicity conditions. (~)

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