Advances in Optimization and Nonlinear Analysis

• Format: eBook
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
• Subjects: advances of SDO; applications of SDO; Arzelà-Ascoli Theorem; basin of attraction; Caputo–Fabrizio fractional integral; chaos; constrained variational control problem; constraint qualifications; convex function; convexificators; convexity of matrix; crowing distance; deformed exponential; discount; electrical vehicles; emission reduction; engineering design problem; fractal; fractional derivative of Riemann–Liouville type; fractional differential equations; fractional integral operator; fractional transportation problem; fuzzy Riemann integral; Green’s functions; Guo–Krasnosel’skii fixed point theorem in cones; h-convex function; hemicontinuity; Hermite–Hadamard inequality; Hermite–Hadamard type inequalities; Hermite–Hadamard type inequality; Hermite–Hadamard–Fejér type inequality; hidden attractor; improved chaos game optimization; integral boundary value problems; interval Hermite–Hadamard inequality; interval Hermite–Hadamard–Fejér inequality; interval-valued function; intuitionistic fuzzy set; inverse geometric problem; Jensen inequality; Jensen type inequality; Jensen–Mercer inequality; Laplace equation; least-square problem; Lieb concavity theorem; load frequency control; low carbon inventory; lower semicontinuity; LR-convex interval-valued function; LR-Harmonically convexity; manta ray foraging optimizer; Mathematics and Science; metaheuristic optimization; method of fundamental solution; micro resonator; monotonicity; multi-objective programming; multimodal multi-objective optimization; multiobjective programs with vanishing constraints; multiple integral functional; multistability; n/a; nature-inspired algorithms; non-dominated solution; nonsmooth analysis; optimal power flow; optimization problems; parametric programming; payment in advance; Pick function; price-sensitive demand; pseudomonotonicity; Reference, Information and Interdisciplinary subjects; renewable energy sources; Research and information: general; Riemann integral; s)-convex fuzzy-interval-valued function; safe jump; Schur type inequality; semidefinite programming; spiral dynamics optimization; spiral paths; spiral-inspired optimization algorithms; sublinearity and superlinearity; TD-TI controller; well posedness
• ISBN: 9783036547503; 3036547495; 9783036547497; 3036547509
• DOI: 10.3390/books978-3-0365-4750-3

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.