On additive correspondences

• Autorzy: Aghajani M. , Smajdor A.

Identyfikatory

DOI

10.1515/jaa-2015-0006

• Języki publikacji: EN

Abstrakty

EN

The existence of additive selections of additive correspondences was investigated in [3, 4, 6] and other papers. In this article, we find an existence theorem for additive selections of additive correspondences with convex compact values in a real normed linear space defined on an open convex cone of a real separable normed space.

Słowa kluczowe

EN

cones; additive correspondences; additive selections

PL

stożek; korespondencje addytywne; selekcje addytywne

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2015
• Tom: Vol. 21, nr 1
• Strony: 59--61
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Aghajani M.

• Department of Mathematics, Shahid Rajaee Teacher Training University, P.O. Box 16785-136, Tehran, Iran

autor

Smajdor A.

• Institute of Mathematics, Pedagogical University of Cracow, Podchorążych 2, Pl-30-084, Kraków, Poland

Bibliografia

• [1] M. Aghajani and K. Nourouzi, On the regular cosine family of linear correspondences, Aequationes Math. 83 (2012), 215–221.
• [2] C. D. Aliprantis and K. C. Border, Infinite Dimensional Analysis: A Hitchhiker’s Guide, 3rd ed., Springer, Berlin, 2006.
• [3] K. Nikodem, Additive set-valued functions in Hilbert spaces, Rev. Roumaine Math. Pures Appl. 28 (1983), 239–242.
• [4] K. Nikodem, Additive selections of additive set-valued functions, Math. Ser. Univ. Novi Sad 18 (1988), 143–148.
• [5] K. Nikodem, K-convex and K-concave set-valued functions, Zeszyty Nauk. Politech. Łódz. Mat. 559, Rozprawy Naukowe, Łódź, 1989.
• [6] H. Rådström, One-parameter semigroups of subsets of a real linear space, Ark. Mat. 4 (1960), 87–97.
• [7] A. Smajdor, Additive selections of a composition of additive set-valued functions, in: European Conference on Iteration Theory (Batschuns 1992), World Scienti c, Singapore (1996), 251–254.