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This book covers topics in statistical convergence, transformation methods, sequence spaces, set-valued integrals, and fractal calculus. It features recent advances and international contributions, offering practical tools, techniques, and new research directions for researchers. This volume highlights current research in summability theory, functional analysis, Choquet integrals, mixed continuous-discrete problems, fractal calculus, and their applications in mathematics, engineering, science, and the arts.
This book discusses new research directions in statistical convergence, integrable multifunctions, Hausdorff dimension, fractal and fractional calculus, and fractal differentiation. It builds on prior studies and presents up-to-date findings and applications for researchers. This book explores summability theory, set-valued integrals, and fractal calculus, making these complex topics accessible to both newcomers and experts. It combines foundational concepts with modern algorithms.
Prof. Anna Rita Sambucini is an Associate Professor at the University of Perugia, Italy, since 1998. Prof Sambucini has a national scientific qualification as a full professor in Mathematical Analysis, Probability, and Mathematical Statistics. She is a member of a research group that deals with Real Analysis, Measure Theory, and its applications. She has held numerous communications at national and international congresses and conferences. She has collaborated with mathematicians from Utrecht (NL), Moscow (RU), Bratislava (SL), Wroclaw (PL), Johannesburg (South Africa), and Iasi (RM). She has spent research periods at several universities: University of Montpellier (France), University of York (UK), University of Poznan (PL). Her research interests lie in: Multivalued Integration, Monotone Vector Integration, Abstract integration in Riesz and Banach spaces, Inequalities in spaces with mixed norms, Vitali theorem and applications, fuzzy theory, Approximation theory, and Neural Network. She is one of the winners of the 2014 J.M.A.A. Ames Awards.
Dr. Hemanta Kalita is presently Assistant Professor at VIT Bhopal University, India. Dr. Hemanta Kalita is a Doctorate from Gauhati University under the guidance of Prof Bipan Hazarika. He has an academic experience of 13 years and has worked at various levels up to Assistant Professor. He has 60+ publications in peer reviewed International journals with high impact factor. Dr. Kalita has been an expert speaker at various International Conferences and has organized an international Conference (ICNAA-2022, 2024 & 2025). Dr. Kalita was an Invited researcher at Usak University, Turkey. He worked as guest editor for several journals (e.g. Journal of nonlinear and convex analysis, Mathematical notes, Palestine J. Mathematics, Boletim da Sociedade Paranaense de Matemática). He is working on Function spaces, integration theory, measure theory, summability, fixed point theory, and fractal calculus. He published several books as an editor. Dr. Kalita has research collaborators in several countries of Europe, USA, Asian and Africa.
Dr. Ranis Ibragimov received his Ph.D. from the University of Waterloo (Canada) and has extensive experience as a researcher in industry and as a faculty member in academia. He previously served as a Professor of Mathematics at Wenatchee Valley College, a Hispanic-serving institution. Additionally, he worked as an Associate Professor at the University of Texas at Rio Grande Valley and held the position of Monbusho Research Fellow at the Research Institute of Mathematics at Kyoto University in Japan. Furthermore, he was an NSF-supported summer professor at the Pacific Northwest National Laboratory (Department of Energy, WA) in the United States. He also worked as a Lead Mathematician at GE Global Research in New York, USA. Dr. Ibragimov’s main area of research is numerical Methods and their applications to mathematical modeling in physical, engineering, and environmental sciences. He is also interested in Lie Group Analysis of Differential Equations.
Prof. Dr. Anca Croitoru is presently working as an Associate Professor at the University "Alexandru Ioan Cuza" of Iasi, Romania. Prof. Croitoru was member and coordinator of some grants, during the period 2009-2016. She is a member of "Alexandru Myller" Mathematical Seminary Foundation, AMS, EWM (European Women in Mathematics), ROMAI, WSEAS. Prof. Croitoru is a reviewer of Mathematical Reviews, MDPI, The Scientific World Journal, WSEAS. She is working in the following areas: continuity, measurability, fuzziness, atoms, pseudo-atoms, non-atomicity, Darboux property in set-valued analysis, non-additive set (multi)functions, set-valued and generalized integrals. She has more than 55 articles in peer-reviewed International ISI or non-ISI journals, and participated in over 50 national and international scientific conferences.