Zobrazeno 1 - 10 of 20 pro vyhledávání: '"Andrzej Smajdor"'
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Akademický článek
Local analytic solutions of a functional equation
Autor: Andrzej Smajdor, Wilhelmina Smajdor
Publikováno v: Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 4, Iss 1, Pp 203-209 (2004)
All analytic solutions of the functional equation [ |f(rexp(iheta))|^{2}+|f(1)|^{2}=|f(r)|^{2}+|f(exp(iheta))|^{2} ] in the annulus [ P:={zin mathbb{C}: 1-epsilonle|z|le1+epsilon} ] and in the domain [ D:={z=re^{iheta}in mathbb{C}: 1-epsilon
Externí odkaz: https://doaj.org/article/fbe644fe8b2e4c9b92de827aa57cd471
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3
Selections of set-valued functions satisfying the general linear inclusion
Autor: Joanna Szczawińska, Andrzej Smajdor
Publikováno v: Journal of Fixed Point Theory and Applications. 18:133-145
Applying the classical Banach fixed point theorem we prove that a set-valued function satisfying a general linear functional inclusion admits a unique selection fulfilling the corresponding functional equation. We also adopt the method of the proof f
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51893970d5572243b38c42722f5c7557
https://doi.org/10.1007/s11784-015-0265-9
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4
On additive correspondences
Autor: Andrzej Smajdor, Masoumeh Aghajani
Publikováno v: Journal of Applied Analysis. 21:59-61
The existence of additive selections of additive correspondences was investigated in [Ark. Mat. 4 (1960), 87–97], [Rev. Roumaine Math. Pures Appl. 28 (1983), 239–242.], [Math. Ser. Univ. Novi Sad 18 (1988), 143–148] and other papers. In this ar
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7c7ec06b537947670fb51cba7231f330
https://doi.org/10.1515/jaa-2015-0006
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5
On concave iteration semigroups of linear set-valued functions
Autor: Andrzej Smajdor
Publikováno v: Aequationes mathematicae. 75:149-162
Let K be a closed convex cone in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. Let I(x) = {x} for x ∈ K. Suppose that G : K → cc(K) is a given continuous linear multivalued map such that 0 ∈ G(
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::df9d375ae44978b4024c37ba1d415793
https://doi.org/10.1007/s00010-007-2876-8
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8
On a Multivalued Differential Problem
Autor: Andrzej Smajdor
Publikováno v: International Journal of Bifurcation and Chaos. 13:1877-1882
Let K be a closed convex cone with the nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. Assume that two continuous linear set-valued functions G, Ψ : K → cc(K) are given. The fol
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e8da0219b12e07e197af311613297951
https://doi.org/10.1142/s0218127403007692
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9
Increasing iteration semigroups of Jensen set-valued functions
Autor: Andrzej Smajdor
Publikováno v: aequationes mathematicae. 56:131-142
Let S be a closed convex cone with non-empty interior in a real separable Banach space and cc(S) denote the set of all non-empty convex compact subsets of S. A necessary and sufficient condition is given under which a family {f t : t > 0} of set-valu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d9e8a7a314a9040901d9bb1dcad107d8
https://doi.org/10.1007/s000100050049
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10
Commutativity of set-valued cosine families
Autor: Andrzej Smajdor, Wilhelmina Smajdor
Publikováno v: Open Mathematics, Vol 12, Iss 12, Pp 1871-1881 (2014)
Let K be a closed convex cone with nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. If {F t: t ≥ 0} is a regular cosine family of continuous additive set-valued functions F t: K
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e94b8b6f1fe33b53b77fc7cd1d666160
https://doi.org/10.2478/s11533-014-0433-y
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