The book aims to present several new results concerning solution and various stabilities of some functional equations in various spaces. The chapters consider various spaces to investigate stabilities justifying that stability results hold well in those spaces. It also includes results proving new insight to analyze approximate solutions to a given equation whenever uncertainty occurs. The presentation of the book should be useful for graduated students and researchers interested in the theory of functional equations to understand the useful ideas involved and problems to study further.

Presents new results concerning solution and various stabilities of some functional equations in different spaces Shows how fuzzy settings could be implemented to solve problems with inexactness and vagueness Gives knowledge of proving stabilities in advanced normed spaces

Autorentext

Hemen Dutta received his M.Sc., M.Phil. and Ph.D. all in Mathematics and also completed Post Graduate Diploma in Computer Application. His research interests include nonlinear analysis, mathematical modeling, functional equations and summability theory. He is a regular and a guest-editor of several SCI/SCIE indexed journals. He has also published several thematic issues in leading journals. He has to his credit over 200 publications as research articles, proceedings papers and chapters in books. He has also authored and edited several books published by leading publishers. He has organized many academic events and served as a speaker in various national and international events. He is a regular faculty member in the Department of Mathematics at Gauhati University, India. Vediyappan Govindan obtained his M.Phil. and Ph.D. both in Mathematics from Periyar University, India. He began his teaching career as an assistant professor of mathematics at Sri Ganesh College of Arts andScience, Salem, under Periyar University from 2008 and 2009. During 2009 to 2020, he worked as an assistant professor of mathematics at Sri Vidya Mandir Arts and Science College, Uthangarai, under Periyar University. He received the Best Teacher Award in 2016 and 2019, respectively, from Sri Vidya Mandir Arts and Science College, Uthangarai, under Periyar University. He also received Young Scientist Award in 2019 from Sri Vidya Mandir Arts and Science College, Uthangarai, under Periyar University. His research interests include functional equations, neural networks and differential equations. He has to his credit more than 73 research articles in various Scopus and SCI indexed journals. Currently, he is working as a lecturer-I at DMI St. John the Baptist University, Mangochi, Malawi, Central Africa. Choonkil Park has accomplished his doctoral degree in Mathematics from the University of Maryland, USA, and is currently working as a professor at Hanyang University, South Korea. He is working for several journals as an associate editor and a chief-editor of one journal. His main research topics include operator algebras, functional inequalities, functional equations, non-commutative geometry, fixed-point theory and fuzzy mappings. He has published a number of academic articles in international journals related to operator algebras, functional inequalities, functional equations, non-commutative geometry, fixed-point theory and fuzzy mappings. Within the last twenty years, he has successfully published more than 550 articles in SCIE journals. R. Vadivel received his B. Sc., M.Sc., M.Phil. Degrees in Mathematics from Sri Ramakrishna Mission Vidyalaya College of Arts and Science affiliated to Bharathiar University, Tamil Nadu, India, and Ph.D. in Mathematics from the Department of Mathematics, Thiruvalluvar University, India. He was a post-doctoral research fellow at the Research Center for Wind Energy Systems, Kunsan National University, Gunsan, South Korea, from 2018 to 2019. Currently, he is working as a lecturer in the Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Thailand.

Inhalt
Functional Equations.- Additive Functional Equations.- Additive Functional Equations in Banach Algebras.- n-Dimensional Additive Functional Equations in Random 2-Normed Spaces.- Quadratic Functional Equations.- Quadratic Functional Equations in Banach Algebras. n-Dimensional Quadratic Functional Equations in Generalized 2-Normed Spaces.- Additive-quadratic Functional Equations. <p