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Applications of Nonlinear Analysis
Title
Applications of Nonlinear Analysis [electronic resource] / edited by Themistocles M. Rassias.
ISBN
9783319898155
Publication
Cham : Springer International Publishing : Imprint: Springer, 2018.
Physical Description
XVI, 931 p. 72 illus : online resource.
Local Notes
Access is available to the Yale community.
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Summary
New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Topics include: Fixed point theory Fixed-circle theory Coupled fixed points Nonlinear duality in Banach spaces Jensen's integral inequality and applications Nonlinear differential equations Nonlinear integro-differential equations Quasiconvexity, Stability of a Cauchy-Jensen additive mapping Generalizations of metric spaces Hilbert-type integral inequality, Solitons Quadratic functional equations in fuzzy Banach spaces Asymptotic orbits in Hill’sproblem Time-domain electromagnetics Inertial Mann algorithms Mathematical modelling Robotics Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.
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Springer ebooks.
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Printed edition:
Format
Books / Online
Language
English
Added to Catalog
July 02, 2018
Series
Springer Optimization and Its Applications, 134
Contents
Chapter 01- New applications of γ-quasiconvexity
Chapter 02- Criteria for convergence of iterates in a compression-expansion fixed point theorem of functional type
Chapter 03- On Lagrangian duality in infinite dimension and its applications
Chapter 04- Stability analysis of the inverse problem of parameter identification in mixed variational problems
Chapter 05- Nonlinear duality in Banach spaces and applications to finance and elasticity
Chapter 06- Selective priorities in processing of big data
Chapter 07- General inertial Mann algorithms and their convergence analysis for nonexpansive mappings
Chapter 08- Reverses of Jensen's integral inequality and applications: a survey of recent results
Chapter 09- Ordering structures and their applications
Chapter 10- An overview on singular nonlinear elliptic boundary value problems
Chapter 11- The Pilgerschritt (Liedl) transform on manifolds
Chapter 12- On some mathematical models arising in lubrication theory
Chapter 13- On the spectrum of a nonlinear two parameter matrix eigenvalue problem
Chapter 14- On the properties of a nonlocal nonlinear Schr¨odinger model and its soliton solutions
Chapter 15- Stability of a Cauchy-Jensen additive mapping in various normed spaces
Chapter 16- NAN-RN approximately generalized additive functional equations
Chapter 17- On the HUR-stability of quadratic functional equations in fuzzy Banach spaces
Chapter 18- Asymptotic orbits in Hill's problem when the larger primary is a source of radiation
Chapter 19- Computations for minors of Weighing Matrices with application to the growth problem
Chapter 20- Robots that do not avoid obstacles
Chapter 21- On the exact solution of nonlinear integro-differential equations
Chapter 22- Qualitative, approximate and numerical approaches for the solution of nonlinear differential equations
Chapter 23- On a Hilbert-type integral inequality in the whole plane
Chapter 24- Four conjectures in Nonlinear Analysis
Chapter 25- Corelations are more powerful tools than relations
Chapter 26- Rational contractions and coupled fixed points
Chapter 27- A multiple Hilbert-type integral inequality in the whole space
Chapter 28- Generalizations of Metric Spaces: From the Fixed-Point Theory to the Fixed-Circle Theory
Chapter 29- Finite-difference modeling of nonlinear phenomena in time-domain electromagnetics: A Review.
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