The book focuses on the theory of fixed points, which is a foundation for many branches of pure and applied mathematics. Fixed point theorems have been studied in various function spaces. The book contains modern results on these theorems, investigated in generalized spaces such as S-metric spaces, convex metric spaces, and bipolar metric spaces, with applications in medical imaging. The nonlinear analysis presented in the book is valuable for modeling and solving real-world problems. It includes work on specific nonlinear operators and nonlinear fractional integral equations in Banach spaces. Relevant studies are also included on statistical convergence, inventory model modeling, computational techniques for Sentiment Analysis on Twitter Data, and Blood Management applications. The book is intended for young researchers interested in nonlinear analysis, fixed-point theory, and computational techniques.

Autorentext

H. K. Nashine is a Professor of Mathematics and Dean of School of Advanced Sciences and Languages at VIT Bhopal University, Bhopal, India. He is a recipient of Fulbright-Nehru Postdoctoral. He has more than 20 years of teaching experience at different level of institutes. He is an active researcher and working on fixed point theory, nonlinear matrix equations and fractional differential and integral equations. He has published more than 200 research papers in various journals which is published by Elsevier, Taylor & Francis, World Scientific, Springer, Hindawi etc, and 10 book chapters in international publications. He has given 15 invited talks in the international/National conferences. He has visited Switzerland, Vietnam, South Korea, Thailand, Brazil and Romania to present research papers. He has completed 4 International and National Projects. He has handled the special issues of International journals as Lead-Editors and editors. He is a reviewer of many journals associated with Elsevier, Springer, Hindawi, Taylor & Francis and MDPI publishers. He is co-author of the book "Approximation Theory, Sequence Spaces and Applications" (Springer, 2022). He has guided 3 PhD students.

Dr. Ranis N. Ibragimov is currently an acquisition editor: Mathematics & Computer Sciences, De-Gruyter Publisher. He was a postdoctoral fellow of McMaster University, Canada after his PhD from University of Waterloo, Canada. Dr Ibragimov was full time faculty of Wenatchee Valley College, USA followed by University of Wisconsin-Parkside, USA. He was a visiting researcher at the Pacific Northwest National Laboratory, Department of Energy, USA. Dr. Ibragimov's research interests broadly lie in the applications of Mathematical Modeling (including Differential Equations, Analytic and Numerical Methods, Perturbation theory, Bifurcation phenomena, Asymptotic Methods, Data Analysis, and Statistics) to industrial, engineering, and environmental sciences. As a fluid dynamicist, he has worked on geophysical and environmental flows within a complex geometry. His research is numerically oriented and theoretical in nature. Dr. Ibragimov is the editor of several Journals. He is Editor in chief of "Mechanical Engineering Research" , Canadian Center of Science and Education. Dr. Ibragimov is an author of the monograph "Lie Group Analysis of Differential Equations:". He is an author of several books. Dr. Ibragimov is International advisory members of "International Conference on nonlinear and Computational techniques (ICNACT-2024).

Dr. Hemanta Kalita is presently Assistant Professor, Mathematics Division, VIT Bhopal University, Kothri-kalan, Bhopal-Indore Highway, Sehore, Madhya Pradesh, India. Dr. Hemanta Kalita is a Doctorate from Gauhati University under the guidance of Prof Bipan Hazarika. He has an academic experience of 11 years and has worked at various levels up to Assistant Professor. He has 30 publications in peer reviewed International journals with high impact factor and has 2 publications in various International Conferences held in India and abroad. Dr. Kalita has been an expert speaker in various International Conferences and has organized an International Conference (ICNAA-2022). Dr. Kalita was an Invited researcher at Usak University, Turkey, 2023. Dr. Kalita has published an issue in Journal of nonlinear and convex analysis as a guest editor. Currently he is handling several special issues in many high quality Journals. He is working on Function spaces, integration theory and measure theory. Dr. Kalita has research collaborators in several countries of Europe, USA, Asian and Africa.