20 Sep @ 10:00 AM — 11:00 AM
Department of Computational and Data Sciences
Department Seminar
SPEAKER : Sudarsan Nanda (Retd. Professor- IIT Kharagpur) is at present the Professor of Eminence and Research Chair at KIIIT, Deemed to be University, Bhubaneswar.
TITLE : “Applications of Hahn- Banach Theorem to Sequence Spaces and Variational Inequality.”
Date & Time : September 20, 2023, 10:00 AM
Venue : # 102, CDS Seminar Hall
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Abstract
Application of the Hahn-Banach Theorem to the space of bounded sequences with a specific sublinear functional p defined on it gives rise to linear functionals, which are dominated by p and are extensions of limits of convergent sequences. These are called Banach Limits, which were studied by Banach (1932), and their uniqueness is called almost convergence and was characterized by Lonentz [1948].
In the present lecture, we will discuss about the absolute analog of almost convergence, which generalizes LP spaces. The two concepts Variational Inequality and complementarily problems are essentially the same concepts which are studied by two different groups of mathematicians: applied mathematics on one hand and operations researchers 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 problem, under the most general conditions on the operator and the cone.
Biography
Sudarsan Nanda (Retd. Professor- IIT Kharagpur) is at present the Professor of Eminence and Research Chair at KIIIT, Deemed to be University, Bhubaneswar. He is a Ph.D. and D.Sc. in Mathematics and was a Professor at IIT Kharagpur. He was Vice-Chancellor, North Orissa University. Professor Nanda was a Visiting Professor at the Universities of Guelph, Canada, Pisa, and Milan in Italy, University of Central Florida, USA and Chinese University of Hongkong. He was an Associate member of ICTP, Trieste, Italy, visited University of Kaiserslautern, Germany under exchange programme and several Universities of Europe and USA. S. Nanda is a Fellow of Institute of Mathematics and Applications, U.K. (FIMA), Forum D’e Analysts, Member of the Editorial Board of the Journal of Fuzzy Mathematics and several other Journals on Mathematics. He is a reviewer of Mathematical reviews and several journals of international repute. Prof. Nanda received the distinguished teacher award during 2002 and received Fulbright and AMS travel grant for visiting USA, during 2000. He has received distinguished senior scientist award from Odisha Bigyan Academy, Bhubaneswar Chapter of Indian Science Congress association, Odisha environment society . S. Nanda has published around 235 research papers in the journals of International repute, guided 22 Ph. D students and authored and co-authored 20 books and many popular articles relating to Mathematics and Higher education.
Taking an active interest in the modernization of the Mathematics syllabus, established research culture and popularization of mathematics, which has a great impact on society S. Nanda’s research work has been widely cited and he has been a member in many academic bodies. He has done social work by establishing a school for mentally handicapped children at IIT Kharagpur Campus. As Vice Chancellor of North Orissa University introduced Santali language as MIL for Under Graduate students.
Host Faculty: Dr. Ratikanta Behera
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ALL ARE WELCOME
