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.

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

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, in 2004. He has written more than 400 research articles in peer reviewed journals. His research interests include functional analysis and metric fixed point theory. Mouffak Benchohra, Ph.D., is a Full Professor in the Department of Mathematics at Djillali Liabes University of Sidi Bel Abbes. Dr. Benchohra received a master's degree in Nonlinear Analysis from Tlemcen University, and a Ph.D. in Mathematics from Djillali Liabes University, Sidi Bel Abbes. His research fields include fractional differential equations, evolution equations and inclusions, and control theory and applications. He has published more than 500 papers and five monographs. He has also occupied the position of head of department of mathematics at Djillali Liabes University, Sidi Bel Abbes. Dr. Benchohra is on the Editorial Board of 10 international journals. Jamal Eddine Lazreg, Ph.D., is a Full Professor in the Department of Mathematics at Djillali Liabes University of Sidi Bel Abbes. Dr. Lazreg received a master's degree in functional analysis from Djillali Liabes University and a Ph.D. in differential equations from Djillali Liabes University of Sidi Bel Abbes. His research fields include fractional differential equations and inclusions. Abdelrkim Salim, Ph.D., is an Associate Professor of Technology at Hassiba Benbouali University of Chlef. Dr. Salim received a master's degree in functional analysis and differential equations from Djillali Liabès University and a Ph.D. in mathematical analysis and applications from Djillali Liabes University of Sidi Bel Abbes. His research fields include fractional differential equations and inclusions, and control theory and applications.

Inhalt
Metric Spaces.- Extension of Metric Spaces.- Fixed Point Theorems on Extended Metric Spaces.