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- W2945201099 abstract "Abstract Let K be a closed convex cone in a real Banach space, {Hcolon Ktooperatorname{cc}(K)} a continuous sublinear correspondence with nonempty, convex and compact values in K , and let {fcolonmathbb{R}tomathbb{R}} be defined by {f(t)=sum_{n=0}^{infty}a_{n}t^{n}} , where {tinmathbb{R}} , {a_{n}geq 0} , {ninmathbb{N}} . We show that the correspondence {F^{t}(x)mathrel{mathop{:}}=sum_{n=0}^{infty}a_{n}t^{n}H^{n}(x),(xin K)} is continuous and sublinear for every {tgeq 0} and {F^{t}circ F^{s}(x)subseteqsum_{n=0}^{infty}c_{n}H^{n}(x)} , {xin K} , where {c_{n}=sum_{k=0}^{n}a_{k}a_{n-k}t^{k}s^{n-k}} , {t,sgeq 0} ." @default.
- W2945201099 created "2019-05-29" @default.
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- W2945201099 date "2019-06-01" @default.
- W2945201099 modified "2023-10-18" @default.
- W2945201099 title "Some families of sublinear correspondences" @default.
- W2945201099 cites W2009062909 @default.
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- W2945201099 doi "https://doi.org/10.1515/jaa-2019-0010" @default.
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