Applied Functional Analysis and Its Applications

Applied functional analysis has an extensive history. In the last century, this field has often been used in physical sciences, such as wave and heat phenomena. In recent decades, with the development of nonlinear functional analysis, this field has been used to model a variety of engineering, medic...

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Year of Publication:2020
Language:English
Physical Description:1 electronic resource (184 p.)
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spelling Yao, Jen-Chih edt
Applied Functional Analysis and Its Applications
Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
1 electronic resource (184 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Open access Unrestricted online access star
Applied functional analysis has an extensive history. In the last century, this field has often been used in physical sciences, such as wave and heat phenomena. In recent decades, with the development of nonlinear functional analysis, this field has been used to model a variety of engineering, medical, and computer sciences. Two of the most significant issues in this area are modeling and optimization. Thus, we consider some recently published works on fixed point, variational inequalities, and optimization problems. These works could lead readers to obtain new novelties and familiarize them with some applications of this area.
English
Research & information: general bicssc
Mathematics & science bicssc
vector variational-like inequalities
vector optimization problems
limiting (p,r)-α-(η,θ)-invexity
Lipschitz continuity
Fan-KKM theorem
set-valued optimization problems
higher-order weak adjacent epiderivatives
higher-order mond-weir type dual
benson proper efficiency
fractional calculus
ψ-fractional integrals
fractional differential equations
contraction
hybrid contractions
volterra fractional integral equations
fixed point
inertial-like subgradient-like extragradient method with line-search process
pseudomonotone variational inequality problem
asymptotically nonexpansive mapping
strictly pseudocontractive mapping
sequentially weak continuity
method with line-search process
pseudomonotone variational inequality
strictly pseudocontractive mappings
common fixed point
hyperspace
informal open sets
informal norms
null set
open balls
modified implicit iterative methods with perturbed mapping
pseudocontractive mapping
strongly pseudocontractive mapping
nonexpansive mapping
weakly continuous duality mapping
set optimization
set relations
nonlinear scalarizing functional
algebraic interior
vector closure
conjugate gradient method
steepest descent method
hybrid projection
shrinking projection
inertial Mann
strongly convergence
strict pseudo-contraction
variational inequality problem
inclusion problem
signal processing
3-03936-776-5
3-03936-777-3
Shahram Rezapour, Shahram edt
Yao, Jen-Chih oth
Shahram Rezapour, Shahram oth
language English
format eBook
author2 Shahram Rezapour, Shahram
Yao, Jen-Chih
Shahram Rezapour, Shahram
author_facet Shahram Rezapour, Shahram
Yao, Jen-Chih
Shahram Rezapour, Shahram
author2_variant j c y jcy
r s s rs rss
author2_role HerausgeberIn
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Sonstige
title Applied Functional Analysis and Its Applications
spellingShingle Applied Functional Analysis and Its Applications
title_full Applied Functional Analysis and Its Applications
title_fullStr Applied Functional Analysis and Its Applications
title_full_unstemmed Applied Functional Analysis and Its Applications
title_auth Applied Functional Analysis and Its Applications
title_new Applied Functional Analysis and Its Applications
title_sort applied functional analysis and its applications
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2020
physical 1 electronic resource (184 p.)
isbn 3-03936-776-5
3-03936-777-3
illustrated Not Illustrated
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