Some results on pre-monotone operators
نویسندگان
چکیده مقاله:
In this paper, some properties of pre-monotone operators are proved. It is shown that in a reflexive Banach space, a full domain multivalued $sigma$-monotone operator with sequentially norm$times$weak$^*$ closed graph is norm$times$weak$^*$ upper semicontinuous. The notion of $sigma$-convexity is introduced and the relations between the $sigma$-monotonicity and $sigma$-convexity is investigated. Moreover, some results on the sum and difference of two $sigma$-monotone operators is considered.
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عنوان ژورنال
دوره 43 شماره 6
صفحات 2085- 2097
تاریخ انتشار 2017-11-30
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