Nonlinear Analysis and Optimization with Applications

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, si...

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Jazyk:angličtina
Vydáno: MDPI - Multidisciplinary Digital Publishing Institute 2022
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collection Directory of Open Access Books
description 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.
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language eng
publishDate 2022
publishDateRange 2022
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publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-787512024-03-28T03:32:24Z Nonlinear Analysis and Optimization with Applications Du, Wei-Shih Chu, Liang-Ju He, Fei Precup, Radu 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2022-02-24T10:35:17Z 2022-02-24T10:35:17Z 2022 book ONIX_20220224_9783036520469_49 9783036520469 9783036520452 https://directory.doabooks.org/handle/20.500.12854/78751 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/4843 https://mdpi.com/books/pdfview/book/4843 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-2046-9 10.3390/books978-3-0365-2046-9 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036520469 9783036520452 208 Basel open access
spellingShingle 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Nonlinear Analysis and Optimization with Applications
title Nonlinear Analysis and Optimization with Applications
title_full Nonlinear Analysis and Optimization with Applications
title_fullStr Nonlinear Analysis and Optimization with Applications
title_full_unstemmed Nonlinear Analysis and Optimization with Applications
title_short Nonlinear Analysis and Optimization with Applications
title_sort nonlinear analysis and optimization with applications
topic 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20220224_9783036520469_49