This book contains selected chapters on topology and dynamical systems and their interdisciplinary applications. Targeting researchers in interdisciplinary areas, the book covers contemporary interdisciplinary topics in topology and dynamical systems, such as closure functions, Partially Negative Dimensional Product (PNDP) manifolds, Khalimsky topological subspaces, neutrosophic topological space, ideal topological spaces, relator spaces, predator–prey symbiosis, cosmological models, and nanofluids.
Bipan Hazarika is Professor at the Department of Mathematics, Gauhati University, Guwahati, Assam. Earlier, he worked at Rajiv Gandhi University, Arunachal Pradesh, India, from 2005 to 2017. He was Professor at Rajiv Gandhi University up to 2017. He received an M.Sc. and Ph.D. from Gauhati University, Guwahati, India. His main research areas are sequences spaces, summability theory, applications of fixed point theory and measure of noncompactness, fuzzy analysis, and non-absolute integrable function spaces. He published more than 190 research articles in several renowned international journals. He is Regular Reviewer of more than 50 different journals published by Springer, Elsevier, Taylor and Francis, Wiley, IOS Press, World Scientific, American Mathematical Society, IEEE, De Gruyter, etc. He published books on Differential Equations, Differential Calculus, and Integral Calculus. Recently he edited following books: "Sequence Spaces Theory and Applications, Chapman and Hall/CRC" and "Fixed Point Theory and Fractional Calculus: Recent Advances and Applications, Springer", “Approximation Theory, Sequence Spaces and Applications, Springer”, “Advances in Mathematics Analysis and its Applications”, and Chapman and Hall/CRC. He is Editorial Board Member of more than 6 international journals and Guest Editor of a special issue named "Sequence spaces, Function spaces and Approximation Theory" of Journal of Function Spaces, Special Issue on “International Conference of Nonlinear Analysis and Applications (ICNAA-2022)” of Journal of Nonlinear and Convex Analysis.
Santanu Acharjee is Assistant Professor in the Department of Mathematics at Gauhati University, India. He pursued an M.Sc. and Ph.D. in mathematics from Gauhati University in 2011 and 2016, respectively. His research interests include topology, soft computing, artificial intelligence, mathematical social science, mathematical economics, social networks, human trafficking, and anti-terrorism research. He has published more than thirty research articles and seven book chapters in various reputed journals. He has also collaborated with eminent researchers from various international institutes, including the University of Oxford, Creighton University, the University of Auckland, Kuwait University, the University of California-Riverside, the Russian Academy of Science, the University of Debrecen, the University of Zurich, etc. In 2020, Acharjee jointly introduced a new area of mathematical research named “Bitopological dynamical systems”. He is Member of the American Mathematical Society, Life Member of the Indian Science Congress Association, and Member of the International Association of Engineers, Hong Kong. Dr. Acharjee is Active Reviewer of Mathematical Reviews (AMS), ZbMATH Open (Germany), several journals of the American Psychological Association, and more than forty other international journals. He has delivered more than ten invited talks at various national and international conferences. He co-edited a book entitled “Advances in Mathematical Analysis and its Applications”, published by CRC Press, and edited a book entitled “Advances in Topology and Their Interdisciplinary Applications”, published by Springer. In 2014, he was invited as “Visiting Researcher” by the Fields Institute, Canada. He was awarded a travel grant from NBHM.
Dragan S. Djordjević is Professor in the Department of Mathematics at the University of Niš, Serbia. From 2009 to 2015, he served as Dean of the Faculty of Sciences and Mathematics, and he also served twice as Vice-Dean for Scientific Research at the Faculty of Sciences and Mathematics at the same university. Djordjević earned his M.S. and Ph.D. degrees from the University of Niš in 1996 and 1998, respectively. His research interests lie in operator theory, functional analysis, C*-algebras, Banach modules, Hilbert C*-modules, and their applications to linear algebra and numerical analysis. In addition to his academic roles, Djordjević was Member of the National Council for Higher Education of Serbia and the Board of Mathematics, Computer Science and Mechanics. He actively reviews for several prestigious journals, including the Journal of Mathematical Analysis and Applications, Linear Algebra and Its Applications, Journal of the Australian Mathematical Society, Aequationes Mathematicae, IEEE Transactions on Circuits and Systems, and Mathematical Reviews. He has published over 130 research articles in various international journals and serves on the editorial board of several reputable journals of mathematics.
