Overview
- Presents recent results on fixed point theory for cyclic mappings with applications to functional equations
- Discusses the Ran-Reurings fixed point theorem and its applications
- Analyzes the recent generalization of Banach fixed point theorem on Branciari metric spaces
- Addresses the solvability of a coupled fixed point problem under a finite number of equality constraints
- Establishes a new fixed point theorem, which helps establish a Kelisky-Rivlin type result for q-Bernstein polynomials and modified q-Bernstein polynomials
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Authors and Affiliations
About the authors
MOHAMED JLELI is Full Professor of Mathematics at King Saud University, Saudi Arabia. He obtained his PhD degree in Pure Mathematics entitled “Constant mean curvature hypersurfaces” from the Faculty of Sciences of Paris 12, France, in 2004. He has written several papers on differential geometry, partial differential equations, evolution equations, fractional differential equations and fixed point theory. He is on the editorial board of several international journals and acts as a referee for a number of international journals in mathematics.
BESSEM SAMET is Full Professor of Applied Mathematics at King Saud University, Saudi Arabia. He obtained his PhD degree in Applied Mathematics entitled “Topological derivative method for Maxwell equations and its applications” from Paul Sabatier University, France, in 2004. His research interests include various branches of nonlinear analysis, such as fixed-point theory, partial differential equations, differential equations, fractional calculus, etc. He is the author/co-author of more than 100 published papers in respected journals. He named as one of Thomson Reuters Highly Cited Researchers for 2015–2017.
Bibliographic Information
Book Title: Fixed Point Theory in Metric Spaces
Book Subtitle: Recent Advances and Applications
Authors: Praveen Agarwal, Mohamed Jleli, Bessem Samet
DOI: https://doi.org/10.1007/978-981-13-2913-5
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2018
Hardcover ISBN: 978-981-13-2912-8Published: 22 October 2018
Softcover ISBN: 978-981-13-4811-2Published: 20 December 2018
eBook ISBN: 978-981-13-2913-5Published: 13 October 2018
Edition Number: 1
Number of Pages: XI, 166
Number of Illustrations: 2 b/w illustrations
Topics: Functional Analysis, Abstract Harmonic Analysis, Difference and Functional Equations, Operator Theory, Integral Equations