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Nonlinear Analysis and Optimization with Applications
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Nonlinear analysis has wide and significant applications in many areas of mathematics, including functional analysis, variational analysis, nonlinear optimization, convex analysis, nonlinear ordinary and partial differential equations, dynamical system theory, mathematical economics, game theory, signal processing, control theory, data mining, and so forth. Optimization problems have been intensively investigated, and various feasible methods in analyzing convergence of algorithms have been developed over the last half century. In this Special Issue, we will focus on the connection between nonlinear analysis and optimization as well as their applications to integrate basic science into the real world.
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Keywords
- (3+1)-dimensional equations
- admissible spaces
- b-metric spaces
- Banach space
- best proximity point
- Brownian motion
- Caristi’s fixed point theorem
- COVID-19
- critical index
- critical point
- cubic mappings
- Ekeland’s variational principle
- essential distance
- extragradient method
- fixed point
- fixed point problem
- Fourier data
- fuzzy mapping
- G-proximal graphic contraction
- Gompertz approximants
- hybrid contraction
- interpolative contraction
- m-metric space
- market crash
- Mathematics & science
- maximal element
- metric resolvent
- modified BBM equations
- monotone mapping
- monotone mappings
- multiple-sets split feasibility problem
- Multivariate Approximation
- n-Banach space
- nonexpansive mappings
- partially ordered Banach spaces
- piecewise smooth
- projection methods
- proximal αp-admissible
- quartic mappings
- Reconstruction
- Reference, information & interdisciplinary subjects
- relatively cyclic nonexpansive mappings
- relaxation time
- Research & information: general
- resolvent
- simulation function
- sizing-up function
- split common null point
- split equilibrium problem
- split minimization problem
- strictly pseudocontractive mappings
- strong convergence
- Takahashi’s nonconvex minimization theorem
- the generalized Hyers–Ulam stability
- time-translation invariance breaking and restoration
- travelling wave solutions
- variational inequalities
- viscossity iterative scheme
- white noise
- wick-type stochastic
- αp-admissible weak (F,φ)-proximal contraction
- μ-bounded quasi-ordered set
- φ-best proximity point
Links
DOI: 10.3390/books978-3-0365-2046-9Editions