Fixed Point Theory And Variational Principles In Metric Spaces
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Fixed Point Theory and Variational Principles in Metric Spaces
Author: Qamrul Hasan Ansari
language: en
Publisher: Cambridge University Press
Release Date: 2023-09-21
A book covering theory and examples for undergraduates, graduates, and researchers studying fixed point theory or nonlinear analysis.
Topics in Metric Fixed Point Theory
Author: Kazimierz Goebel
language: en
Publisher: Cambridge University Press
Release Date: 2008-06-05
Metric fixed point theory has proved a flourishing area of research for the past twenty-five years. This book offers the mathematical community an accessible, self-contained document that can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including nonspecialists and provides a source for examples, references and new approaches for those currently working in the subject.
Fixed Point Theory in Probabilistic Metric Spaces
Author: O. Hadzic
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-06-29
Fixed point theory in probabilistic metric spaces can be considered as a part of Probabilistic Analysis, which is a very dynamic area of mathematical research. A primary aim of this monograph is to stimulate interest among scientists and students in this fascinating field. The text is self-contained for a reader with a modest knowledge of the metric fixed point theory. Several themes run through this book. The first is the theory of triangular norms (t-norms), which is closely related to fixed point theory in probabilistic metric spaces. Its recent development has had a strong influence upon the fixed point theory in probabilistic metric spaces. In Chapter 1 some basic properties of t-norms are presented and several special classes of t-norms are investigated. Chapter 2 is an overview of some basic definitions and examples from the theory of probabilistic metric spaces. Chapters 3, 4, and 5 deal with some single-valued and multi-valued probabilistic versions of the Banach contraction principle. In Chapter 6, some basic results in locally convex topological vector spaces are used and applied to fixed point theory in vector spaces. Audience: The book will be of value to graduate students, researchers, and applied mathematicians working in nonlinear analysis and probabilistic metric spaces.