Nonlinear Analysis and Optimization with Applications
Du, Wei-Shih
Nonlinear Analysis and Optimization with Applications - Basel MDPI - Multidisciplinary Digital Publishing Institute 2022 - 1 electronic resource (208 p.)
Open Access
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.
Creative Commons
English
books978-3-0365-2046-9 9783036520469 9783036520452
10.3390/books978-3-0365-2046-9 doi
Research & information: general
Mathematics & science
best proximity point fixed point monotone mappings relatively cyclic nonexpansive mappings partially ordered Banach spaces modified BBM equations (3+1)-dimensional equations white noise Brownian motion travelling wave solutions wick-type stochastic admissible spaces hybrid contraction interpolative contraction b-metric spaces simulation function m-metric space proximal αp-admissible αp-admissible weak (F,φ)-proximal contraction G-proximal graphic contraction φ-best proximity point Fourier data reconstruction multivariate approximation piecewise smooth projection methods strong convergence extragradient method monotone mapping variational inequalities critical index relaxation time time-translation invariance breaking and restoration market crash COVID-19 Gompertz approximants split common null point resolvent metric resolvent split minimization problem split equilibrium problem Banach space multiple-sets split feasibility problem strictly pseudocontractive mappings nonexpansive mappings viscossity iterative scheme fixed point problem n-Banach space cubic mappings quartic mappings the generalized Hyers-Ulam stability maximal element sizing-up function μ-bounded quasi-ordered set critical point fuzzy mapping Ekeland's variational principle Caristi's fixed point theorem Takahashi's nonconvex minimization theorem essential distance
Nonlinear Analysis and Optimization with Applications - Basel MDPI - Multidisciplinary Digital Publishing Institute 2022 - 1 electronic resource (208 p.)
Open Access
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.
Creative Commons
English
books978-3-0365-2046-9 9783036520469 9783036520452
10.3390/books978-3-0365-2046-9 doi
Research & information: general
Mathematics & science
best proximity point fixed point monotone mappings relatively cyclic nonexpansive mappings partially ordered Banach spaces modified BBM equations (3+1)-dimensional equations white noise Brownian motion travelling wave solutions wick-type stochastic admissible spaces hybrid contraction interpolative contraction b-metric spaces simulation function m-metric space proximal αp-admissible αp-admissible weak (F,φ)-proximal contraction G-proximal graphic contraction φ-best proximity point Fourier data reconstruction multivariate approximation piecewise smooth projection methods strong convergence extragradient method monotone mapping variational inequalities critical index relaxation time time-translation invariance breaking and restoration market crash COVID-19 Gompertz approximants split common null point resolvent metric resolvent split minimization problem split equilibrium problem Banach space multiple-sets split feasibility problem strictly pseudocontractive mappings nonexpansive mappings viscossity iterative scheme fixed point problem n-Banach space cubic mappings quartic mappings the generalized Hyers-Ulam stability maximal element sizing-up function μ-bounded quasi-ordered set critical point fuzzy mapping Ekeland's variational principle Caristi's fixed point theorem Takahashi's nonconvex minimization theorem essential distance