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Warianty tytułu
Języki publikacji
Abstrakty
The concept of normed quasilinear spaces which is a generalization of normed linear spaces gives us a new opportunity to study with a similar approach to classical functional analysis. In this study, we introduce the notion of seminormed quasilinear space as a generalization of normed quasilinear spaces and give various auxiliary results and examples. We present an analog of Hahn-Banach theorem, in seminormed quasilinear spaces.
Czasopismo
Rocznik
Tom
Strony
79--94
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Department of Mathematics, Inönü University, Malatya 44280, TURKEY
autor
- Department of Mathematics, Inönü University, Malatya 44280, TURKEY
Bibliografia
- [1] G. Alefeld, G. Mayer, Interval analysis: theory and applications, J. Comput. Appl. Math. 121 (2000) 421–464.
- [2] S.M. Aseev, Quasilinear operators and their application in the theory of multivalued mappings, Proceedings of the Steklov Institute of Mathematics 2 (1986) 23–52.
- [3] J.P. Aubin, H. Frankowska, Set-Valued Analysis, Birkhäuser, Boston, 1990.
- [4] L.W. Baggett, Functional Analysis: a primer, Marcel Dekker, Inc., New York, USA, 1992.
- [5] S. Çakan, Y. Yılmaz, Localization Principle in Normed Quasilinear Spaces, Information Sciences and Computing, Article ID ISC530515 (2015) 15 pages.
- [6] S. Çakan, Y. Yılmaz, Normed proper quasilinear spaces, J. Nonlinear Sci. Appl. 8 (2015) 816–836.
- [7] S. Çakan, Y. Yılmaz, On the quasimodules and normed quasimodules, Nonlinear Funct. Anal. Appl. 20 (2) (2015) 269–288.
- [8] S. Çakan, Y. Yılmaz, Lower and upper semi basis in quasilinear spaces, Erciyes University Journal of the Institute of Science and Technology 31 (2) (2015) 97–104.
- [9] S. Çakan, Y. Yılmaz, Lower and upper semi convergence in normed quasilinear spaces, Nonlinear Funct. Anal. Appl. 21 (3) (2016) 501–511.
- [10] V. Lakshmikantham, T.G. Bhaskar, J.V. Devi, Theory of Set Differential Equations in Metric Spaces, Cambridge Scientific Publishers, Cambridge, 2006.
- [11] R.E. Moore, R.B. Kearfott, M.J. Cloud, Introduction to Interval Analysis, SIAM, Philadelphia, USA, 2009.
- [12] Y. Yılmaz, S. Çakan, S¸. Aytekin, Topological quasilinear spaces, Abstr. Appl. Anal., Article ID 951374 (2012) 10 pages.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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