This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and physics. The authors begin with an overview of the extension of metric spaces. Readers are introduced to general fixed-point theorems while comparing and contrasting important and insignificant metric spaces. The book is intended to be self-contained and serves as a unique resource for researchers in various disciplines.

In addition, this book:

• Introduces general fixed-point theorems and presents recent advances in metric fixed point theory
• Discusses useful metric extensions and criticizes insignificant generalizations of metric spaces
• Consolidates the basic ideas of fixed-point theory in the setting of various metric spaces
• Presents fixed point theory as a crucial tool in applied mathematics, functional analysis, and topology to solve real-world problems.

Autorentext

Erdal Karapinar, Ph.D., is a Professor in the Department of Mathematics at Cankaya University and Visiting Professor at the China Medical University of Taichung. He completed his Ph.D. at the Middle East Technical University (METU), Turkiye. He is the co-author of one book, more than 10 chapters for edited books, and more than 400 research articles in peer-reviewed journals. His research interests include functional analysis and metric fixed point theory.

Ravi P. Agarwal, Ph.D., is a Professor in the Department of Mathematics at the Texas A&M University-Kingsville. He completed his Ph.D. at the Indian Institute of Technology, Madras, India, in 1973. Dr. Agarwal has authored or co-authored 50 books and 1,750 research articles. His research interests include nonlinear analysis, differential and difference equations, fixed point theory, and general inequalities.