Reprint

Advances in Optimization and Nonlinear Analysis

Edited by
July 2022
334 pages
  • ISBN978-3-0365-4749-7 (Hardback)
  • ISBN978-3-0365-4750-3 (PDF)

This book is a reprint of the Special Issue Advances in Optimization and Nonlinear Analysis that was published in

Computer Science & Mathematics
Summary

The present book focuses on that part of calculus of variations, optimization, nonlinear analysis and related applications which combines tools and methods from partial differential equations with geometrical techniques. More precisely, this work is devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The book is a valuable guide for researchers, engineers and students in the field of mathematics, operations research, optimal control science, artificial intelligence, management science and economics.

Format
  • Hardback
License
© 2022 by the authors; CC BY-NC-ND license
Keywords
well posedness; constrained variational control problem; monotonicity; pseudomonotonicity; hemicontinuity; multiple integral functional; lower semicontinuity; fractional differential equations; fractional derivative of Riemann–Liouville type; integral boundary value problems; Green’s functions; Guo–Krasnosel’skii fixed point theorem in cones; sublinearity and superlinearity; Arzelà-Ascoli Theorem; multi-objective programming; fractional transportation problem; intuitionistic fuzzy set; parametric programming; convex function; h-convex function; Hermite–Hadamard inequality; Caputo–Fabrizio fractional integral; Hermite–Hadamard inequality; Jensen inequality; Jensen–Mercer inequality; multiobjective programs with vanishing constraints; semidefinite programming; convexificators; nonsmooth analysis; constraint qualifications; interval-valued function; Riemann integral; LR-convex interval-valued function; interval Hermite–Hadamard inequality; interval Hermite–Hadamard–Fejér inequality; Lieb concavity theorem; deformed exponential; Pick function; convexity of matrix; low carbon inventory; discount; payment in advance; price-sensitive demand; emission reduction; advances of SDO; applications of SDO; metaheuristic optimization; nature-inspired algorithms; optimization problems; spiral dynamics optimization; spiral-inspired optimization algorithms; spiral paths; (p,s)-convex fuzzy-interval-valued function; fuzzy Riemann integral; Jensen type inequality; Schur type inequality; Hermite–Hadamard type inequality; Hermite–Hadamard–Fejér type inequality; inverse geometric problem; Laplace equation; method of fundamental solution; least-square problem; micro resonator; fractal; multistability; safe jump; hidden attractor; chaos; basin of attraction; interval-valued function; LR-Harmonically convexity; fractional integral operator; Hermite–Hadamard type inequalities; multimodal multi-objective optimization; manta ray foraging optimizer; non-dominated solution; crowing distance; engineering design problem; optimal power flow; renewable energy sources; improved chaos game optimization; TD-TI controller; load frequency control; renewable energy sources; electrical vehicles; n/a