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UID:14@cds.iisc.ac.in
DTSTART;TZID=Asia/Kolkata:20230920T100000
DTEND;TZID=Asia/Kolkata:20230920T110000
DTSTAMP:20231102T051640Z
URL:https://cds.iisc.ac.in/events/seminar-cds-102-20th-september-applicati
 ons-of-hahn-banach-theorem-to-sequence-spaces-and-variational-inequality/
SUMMARY:{Seminar} @ CDS: #102 : 20th September: “Applications of Hahn- Ba
 nach Theorem to Sequence Spaces and Variational Inequality.”
DESCRIPTION:20 Sep @ 10:00 AM -- 11:00 AM\n\nDepartment of Computational an
 d Data Sciences\n\nDepartment Seminar\n\n&nbsp\;\n\nSPEAKER : Sudarsan Nan
 da (Retd. Professor- IIT Kharagpur) is at present the Professor of Eminenc
 e and Research Chair at KIIIT\, Deemed to be University\, Bhubaneswar.\n\n
 TITLE : “Applications of Hahn- Banach Theorem to Sequence Spaces and Var
 iational Inequality.”\n\nDate &amp\; Time : September 20\, 2023\, 10:00 
 AM\n\nVenue : # 102\, CDS Seminar Hall\n\n================================
 ===========================================================\nAbstract\nApp
 lication of the Hahn-Banach Theorem to the space of bounded sequences with
  a specific sublinear functional p defined on it gives rise to linear func
 tionals\, which are dominated by p and are extensions of limits of converg
 ent sequences. These are called Banach Limits\, which were studied by Bana
 ch (1932)\, and their uniqueness is called almost convergence and was char
 acterized by Lonentz [1948].\n\nIn the present lecture\, we will discuss a
 bout the absolute analog of almost convergence\, which generalizes LP spac
 es. The two concepts Variational Inequality and complementarily problems a
 re essentially the same concepts which are studied by two different groups
  of mathematicians: applied mathematics on one hand and operations researc
 hers on the other hand. The proof existence of the variational inequality 
 problem uses Hanh- Banach Theorem or Fixed-Point theorems. In this lecture
 \, we will discuss about the existence of solutions of the complementary p
 roblem\, under the most general conditions on the operator and the cone.\n
 Biography\nSudarsan Nanda (Retd. Professor- IIT Kharagpur) is at present t
 he Professor of Eminence and Research Chair at KIIIT\, Deemed to be Univer
 sity\, Bhubaneswar. He is a Ph.D. and D.Sc. in Mathematics and was a Profe
 ssor at IIT Kharagpur. He was Vice-Chancellor\, North Orissa University. P
 rofessor Nanda was a Visiting Professor at the Universities of Guelph\, Ca
 nada\, Pisa\, and Milan in Italy\, University of Central Florida\, USA and
  Chinese University of Hongkong. He was an Associate member of ICTP\, Trie
 ste\, Italy\, visited University of Kaiserslautern\, Germany under exchang
 e programme and several Universities of Europe and USA. S. Nanda is a Fell
 ow of Institute of Mathematics and Applications\, U.K. (FIMA)\, Forum D’
 e Analysts\, Member of the Editorial Board of the Journal of Fuzzy Mathema
 tics and several other Journals on Mathematics. He is a reviewer of Mathem
 atical reviews and several journals of international repute. Prof. Nanda r
 eceived the distinguished teacher award during 2002 and received Fulbright
  and AMS travel grant for visiting USA\, during 2000. He has received dist
 inguished senior scientist award from Odisha Bigyan Academy\, Bhubaneswar 
 Chapter of Indian Science Congress association\, Odisha environment societ
 y . S. Nanda has published around 235 research papers in the journals of I
 nternational repute\, guided 22 Ph. D students and authored and co-authore
 d 20 books and many popular articles relating to Mathematics and Higher ed
 ucation.\n\nTaking an active interest in the modernization of the Mathemat
 ics syllabus\, established research culture and popularization of mathemat
 ics\, which has a great impact on society S. Nanda’s research work has b
 een widely cited and he has been a member in many academic bodies. He has 
 done social work by establishing a school for mentally handicapped childre
 n at IIT Kharagpur Campus. As Vice Chancellor of North Orissa University i
 ntroduced Santali language as MIL for Under Graduate students.\n\nHost Fac
 ulty: Dr. Ratikanta Behera\n==============================================
 ====================================\nALL ARE WELCOME
CATEGORIES:Events,Talks
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