Advances in Metric Fixed Point Theory and Applications (PDF)
This book collects papers on major topics in fixed point theory and its applications. Each chapter is accompanied by basic notions, mathematical preliminaries and proofs of the main results. The book discusses common fixed point theory,...
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This book collects papers on major topics in fixed point theory and its applications. Each chapter is accompanied by basic notions, mathematical preliminaries and proofs of the main results. The book discusses common fixed point theory, convergence theorems, split variational inclusion problems and fixed point problems for asymptotically nonexpansive semigroups; fixed point property and almost fixed point property in digital spaces, nonexpansive semigroups over CAT(¿) spaces, measures of noncompactness, integral equations, the study of fixed points that are zeros of a given function, best proximity point theory, monotone mappings in modular function spaces, fuzzy contractive mappings, ordered hyperbolic metric spaces, generalized contractions in b-metric spaces, multi-tupled fixed points, functional equations in dynamic programming and Picard operators.
This book addresses the mathematical community working with methods and tools of nonlinear analysis. It also serves as a reference, source for examples and new approaches associated with fixed point theory and its applications for a wide audience including graduate students and researchers.
MOHAMED JLELI is Full Professor of Mathematics at King Saud University, Saudi Arabia. He received his Ph.D. in Pure Mathematics with the thesis entitled "Constant Mean Curvature Hypersurfaces" from the Faculty of Sciences of Paris VI, France, in 2004. His research interests include surfaces and hypersurfaces in space forms, mean curvature, nonlinear partial differential equations, nonlinear fractional calculus and nonlinear analysis, on which he has published his research articles in international journals of repute. He is on the editorial board member of several international journals of mathematics.
MOHAMMAD MURSALEEN is Professor
BESSEM SAMET is Full Professor of Applied Mathematics at King Saud University, Saudi Arabia. He received his Ph.D. in Applied Mathematics with the thesis entitled "Topological Derivative Method for Maxwell Equations and its Applications" from Paul Sabatier University, France, in 2004. His areas of research include different branches of nonlinear analysis, including fixed point theory, partial differential equations, fractional calculus and more. He has authored/co-authored over 100 published research papers in ISI journals. He was on the list of Thomson Reuters Highly Cited Researchers for the years 2015 to 2017.
CALOGERO VETRO is Assistant Professor of Mathematical Analysis at the University of Palermo, Italy, since 2005. He is also affiliated with the Department of Mathematics and Computer Science of the university. He received his Ph.D. in Engineering of Automation and Control Systems in 2004 and the Laurea Degree in Mechanical Engineering in 2000. He has taught courses in mathematical analysis, numerical analysis, numerical calculus, geomathematics, computational mathematics, operational research and optimization. He is a member of Doctoral Collegium at the University of Palermo and acts as a referee for several scientific journals of pure and applied mathematics. He is also on the editorial boards of renowned scientific journals and a guest editor of special issues on fixed point theory and partial differential equations. His research interests include approximation, fixed point theory, functional analysis, mathematical programming, operator theory and partial differential equations. He has authored/co-authored over 150 published papers and was on the Thomson Reuters Highly Cited Researchers List from 2015 to 2017.
- 2021, 1st ed. 2021, 503 Seiten, Englisch
- Herausgegeben: Yeol Je Cho, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro
- Verlag: Springer Nature Singapore
- ISBN-10: 9813366478
- ISBN-13: 9789813366473
- Erscheinungsdatum: 04.05.2021
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- Größe: 5.76 MB
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