Reprint

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

Edited by
May 2024
252 pages
  • ISBN978-3-7258-1040-6 (Hardback)
  • ISBN978-3-7258-1039-0 (PDF)

This book is a reprint of the Special Issue Special Issue in Honor of the 60th Birthday of Professor Hong-Kun Xu that was published in

Computer Science & Mathematics
Physical Sciences
Summary

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.

Format
  • Hardback
License and Copyright
© 2024 by the authors; CC BY-NC-ND license
Keywords
nonlinear fractional retarded integro-differential equations; uniform stability; asymptotic stability; Mittag–Leffer stability; boundedness; Lyapunov–Razumikhin method; Mann-type inertial subgradient extragradient rule; variational inequality problem; pseudomonotone mapping; Nonexpansive and quasi-nonexpansive mappings; common fixed point; F-contraction; convex F-contraction; fixed point; b-metric space; generalization; integral inequality; convex function; Hermite–Hadamard type; system of DDEs; uniformly asymptotically stability; integrability; boundedness at infinity; Lyapunov–Krasovskiĭ functional; multiple time-varying delay; competition-diffusion-advection; steady-state solution; spatially heterogeneous; global stability; multiple-sets split feasibility problem; CQ algorithm; bounded perturbation; armijo-line search; self-adaptive step size; basic reproduction number; equilibrium; global stability; immune response; nonstandard finite difference scheme; numerical simulation; metric spaces; fixed circle; common fixed circle; IMC 2022; quasi-hyperbolic sine function; exponential function; arithmetic mean-geometric mean (AM-GM) inequality; Cauchy-Schwarz inequality; Lagrange mean value theorem; NCP functions; section curves; convexity; differentiability; binary quadratic programming; complete metric space; fixed point; data dependence; Ulam–Hyers stability; Ostrowski stability; Riesz potential operator; grand Herz–Morrey spaces; grand Lebesgue spaces; grand Herz spaces; uncertain set-valued optimization problems; set-based robust efficient solutions; second-order strong subdifferential; robust weak duality; robust strong duality; multi-objective programming; efficient solutions; generalized convexity; duality problem; size-dependent Jiřina process; L2-convergence; extinction; n/a

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