Applied Functional Analysis and Its Applications

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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Bibliographic Details
Other Authors: Yao, Jen-Chih (Editor), Shahram Rezapour, Shahram (Editor)
Format: Book Chapter
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:
Research & information: general
Mathematics & science
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
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