[Turkmath:5530] Re: (no subject)

Wed Mar 30 15:00:08 UTC 2022

ekmeyi unutmuşum
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey*
*  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at eng.bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars
https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*

On Wed, 30 Mar 2022 at 17:21, Allaberen Ashyralyev <aallaberen at gmail.com>
wrote:

> Dear Colleagues!
>
> You are cordially invited to the Weekly Online Seminar “Analysis and
> Applied Mathematics” on
>
> Date: Tuesday, April 5, 2022
>
> Time: 14.00-15.00 (Istanbul) = 13.00-14.00 (Ghent) = 17.00-18.00 (Almaty)
>
> Zoom link:
> https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09,
> Conference ID: 667 827 0445, Access code: 1
>
> Speaker: Prof. Dr. Eberhard Malkowsky
>
> Department of Mathematics, State University of Novi Pazar, Serbia
>
> Title: Some measures of noncompactness and their applica-tions
>
> Abstract: Measures of noncompactness are very useful tools in functional
> analysis, for in-stance in metric fixed point theory and the theory of
> operator equations in Banach spaces. They are also used in the studies of
> functional equations, ordinary and partial differential equations,
> fractional partial differential equations, integral and
> integro-differential equa-tions, optimal control theory, and in the
> characterizations of compact operators between Ba-nach spaces. We present
> an axiomatic introduction to measures of noncompactness on bounded subsets
> of complete metric spaces [6, 4, 5, 3], and also the alternative axiomatic
> approaches by Banaś and Goebel [2] and by Akhmerov et al. [1] for measures
> of noncompact-ness in Banach spaces. As examples, we consider the
> Kuratowski, Hausdorff and separation measures of noncompactness and their
> most important properties. The Kuratowski measure of noncompactness is used
> in Darbo’s fixed point theorem. Furthermore we study the notion of measures
> of noncompactness of operators between Banach spaces and some of their
> prop-erties. Finally we give a few applications to the characterization of
> compact linear operators between certain BK spaces and to some results
> concerning the solvability of integral equa-tions.
> References:
> [1] R.R. Akhmerov, M.I. Kamenskii, A.S. Potapov, A.E. Rodkina, and B.N.
> Sadovskii. Measures of Noncompactness and Condensing Operators. Birkhäuser
> Verlag, Basel, 1992.
> [2] J. Banaś and K. Goebel. Measures of Noncompactness in Banach Spaces,
> volume 60 of Lecture Notes in Pure and Applied Mathematics. Marcel Dekker
> Inc., New York and Basel, 1980.
> [3] B. de Malafosse, E. Malkowsky, and V. Rakočević. Operators Between
> Sequence Spaces and Applications. Springer, 2021.
> [4] E. Malkowsky and V. Rakočević. An introduction into the theory of
> sequence spaces and measures of noncompactness, volume 9(17) of Zbornik
> radova, Matematčki in-stitut SANU, pages 143–234. Mathematical Institute of
> SANU, Belgrade, 2000.
> [5] E. Malkowsky and V. Rakočević. Advanced Functional Analysis. Taylor
> and Francis, 6000 Broken Sound Parkway NW, Suite 300, Boca Raton, FL 33487,
> USA, 2019.
> [6] J.M. Ayerbe Toledano, T. Dominguez Benavides, and G. Lopez Acedo.
> Measures of Noncompactness in Metric Fixed Point Theory, volume 99 of
> Operator Theory Ad-vances and Applications. Birkhäuser Verlag, Basel,
> Boston, Berlin, 1997.
>
> Abstracts and forthcoming talks can be found on our webpage
>
> https://sites.google.com/view/aam-seminars
>
> Kind regards,
>
> *Prof. Dr. Allaberen Ashyralyev *
> *Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey*
> *  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey*
> *Peoples' Friendship University of Russia (RUDN University),** Ul
> Miklukho Maklaya 6, Moscow 117198, Russian Federation *
> *Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
> Kazakhstan*
> *e-mail: allaberen.ashyralyev at eng.bau.edu.tr
> <allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
> <aallaberen at gmail.com> *
>  http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev
>
> https://sites.google.com/view/aam-seminars
> https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
> *icaam-online.org <http://icaam-online.org>*
>
> *https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
> <https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
>
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