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

• RoboticsGraduate 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.

  Autorentext

  Inhalt

Chapter 01- New applications of -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.