Fixed Point Theory and Graph Theory
Academic Press Inc (Verlag)
978-0-12-804295-3 (ISBN)
This edited reference work is perhaps the first to provide a link between the two theories, describing not only their foundational aspects, but also the most recent advances and the fascinating intersection of the domains.
The authors provide solution methods for fixed points in different settings, with two chapters devoted to the solutions method for critically important non-linear problems in engineering, namely, variational inequalities, fixed point, split feasibility, and hierarchical variational inequality problems. The last two chapters are devoted to integrating fixed point theory in spaces with the graph and the use of retractions in the fixed point theory for ordered sets.
Monther Rashed Alfuraidan is Associate Professor of Mathematics in the Department of Mathematics & Statistics at King Fahd University of Petroleum & Minerals at Dhahran, Saudi Arabia. He obtained his Ph.D. (Mathematics) from Michigan State University. He has written more than twenty articles on graph theory, algebraic graph theory and metric fixed point theory. He peer-reviewed many articles (among others) for: algebraic journal of combinatorics, Arabian Journal of Mathematics, Fixed Point Theory and Applications and Journal of Inequality and Applications. Qamrul Hasan Ansari is Professor of Mathematics at Aligarh Muslim University, Aligarh, India, and joint professor at King Fahd University of Petroleum /& Minerals, Dhahran, Saudi Arabia. He obtained his Ph.D. (Mathematics) from Aligarh Muslim University, India. He is an associate editor of Journal of Optimization Theory and Applications, Fixed Point Theory and Applications and Carpathian Journal of Mathematics. He also edited several special issues of several journals, namely, Journal of Global Optimization, Fixed Point Theory and Applications, Abstract and Applied Analysis, Journal of Inequalities and Applications, Applicable Analysis, Positivity, Filomat, etc. He has written more than 180 articles on variational inequalities, fixed point theory and applications, vector optimization, etc. in various international peer-reviewed journals. He has edited 6 books for Springer, Taylor & Francis and Narosa, India. He is an author of a book on Metric Spaces published by Narosa, India and has coauthored one book on Variational Inequalities and Nonsmooth Optimization for Taylor & Francis.
Chapter 1: Caristi-Browder Operator Theory in Distance Spaces
Chapter 2: Iterative Approximation of Fixed Points of Single-valued Almost Contractions
Chapter 3: Approximate Fixed Points
Chapter 4: Viscosity Methods for Some Applied Nonlinear Analysis Problems
Chapter 5: Extragradient Methods for Some Nonlinear Problems
Chapter 6: Iterative Methods for Nonexpansive Type Mappings
Chapter 7: Metric Fixed Point Theory in Spaces with a Graph
Chapter 8: The Use of Retractions in the Fixed Point Theory for Ordered Sets
| Erscheinungsdatum | 23.06.2016 |
|---|---|
| Verlagsort | San Diego |
| Sprache | englisch |
| Maße | 191 x 235 mm |
| Gewicht | 1060 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| ISBN-10 | 0-12-804295-8 / 0128042958 |
| ISBN-13 | 978-0-12-804295-3 / 9780128042953 |
| Zustand | Neuware |
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