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
Spis treści
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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