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Special Issue in Honor of the 60th Birthday of Professor Hong-Kun Xu

Special Issue in Honor of the 60th Birthday of Professor Hong-Kun Xu

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This Special Issue of the journal Axioms pays tribute to Professor Hong-Kun Xu’s significant contributions and details recent important advances in theory, methods, and applications of nonlinear analysis, optimization theory, fixed point theory, and algorithms for nonlinear problems. It comprises original, creative, and high-quality research papers that inspire advances in fixed point, coincidence point, and best proximity point theory, set-valued analysis, nonlinear and variational methods for ODEs and PDEs, non-smooth analysis and optimization, inverse and ill-posed problems, convex analysis, matrix theory, and their applications.

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Keywords

  • arithmetic mean-geometric mean (AM-GM) inequality
  • armijo-line search
  • asymptotic stability
  • b-metric space
  • basic reproduction number
  • binary quadratic programming
  • bounded perturbation
  • boundedness
  • boundedness at infinity
  • Cauchy-Schwarz inequality
  • common fixed circle
  • common fixed point
  • competition-diffusion-advection
  • complete metric space
  • convex F-contraction
  • Convex function
  • convexity
  • CQ algorithm
  • data dependence
  • differentiability
  • duality problem
  • efficient solutions
  • equilibrium
  • exponential function
  • extinction
  • F-contraction
  • fixed circle
  • fixed point
  • generalization
  • generalized convexity
  • global stability
  • grand Herz spaces
  • grand Herz–Morrey spaces
  • grand Lebesgue spaces
  • Hermite–Hadamard type
  • IMC 2022
  • Immune response
  • integrability
  • integral inequality
  • L2-convergence
  • Lagrange mean value theorem
  • Lyapunov–Krasovski? functional
  • Lyapunov–Razumikhin method
  • Mann-type inertial subgradient extragradient rule
  • Metric spaces
  • Mittag–Leffer stability
  • multi-objective programming
  • multiple time-varying delay
  • multiple-sets split feasibility problem
  • n/a
  • NCP functions
  • Nonexpansive and quasi-nonexpansive mappings
  • nonlinear fractional retarded integro-differential equations
  • nonstandard finite difference scheme
  • Numerical Simulation
  • Ostrowski stability
  • pseudomonotone mapping
  • quasi-hyperbolic sine function
  • Riesz potential operator
  • robust strong duality
  • robust weak duality
  • second-order strong subdifferential
  • section curves
  • self-adaptive step size
  • set-based robust efficient solutions
  • size-dependent Ji?ina process
  • spatially heterogeneous
  • steady-state solution
  • system of DDEs
  • thema EDItEUR::U Computing and Information Technology::UY Computer science
  • Ulam–Hyers stability
  • uncertain set-valued optimization problems
  • uniform stability
  • uniformly asymptotically stability
  • variational inequality problem

Links

DOI: 10.3390/books978-3-7258-1039-0

Editions

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