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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Other Authors: Yao, Jen-Chih (Editor), Shahram Rezapour, Shahram (Editor)
Format: Electronic Book Chapter
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
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DOAB: description of the publication
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520 |a 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. 
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650 7 |a Research & information: general  |2 bicssc 
650 7 |a Mathematics & science  |2 bicssc 
653 |a vector variational-like inequalities 
653 |a vector optimization problems 
653 |a limiting (p,r)-α-(η,θ)-invexity 
653 |a Lipschitz continuity 
653 |a Fan-KKM theorem 
653 |a set-valued optimization problems 
653 |a higher-order weak adjacent epiderivatives 
653 |a higher-order mond-weir type dual 
653 |a benson proper efficiency 
653 |a fractional calculus 
653 |a ψ-fractional integrals 
653 |a fractional differential equations 
653 |a contraction 
653 |a hybrid contractions 
653 |a volterra fractional integral equations 
653 |a fixed point 
653 |a inertial-like subgradient-like extragradient method with line-search process 
653 |a pseudomonotone variational inequality problem 
653 |a asymptotically nonexpansive mapping 
653 |a strictly pseudocontractive mapping 
653 |a sequentially weak continuity 
653 |a method with line-search process 
653 |a pseudomonotone variational inequality 
653 |a strictly pseudocontractive mappings 
653 |a common fixed point 
653 |a hyperspace 
653 |a informal open sets 
653 |a informal norms 
653 |a null set 
653 |a open balls 
653 |a modified implicit iterative methods with perturbed mapping 
653 |a pseudocontractive mapping 
653 |a strongly pseudocontractive mapping 
653 |a nonexpansive mapping 
653 |a weakly continuous duality mapping 
653 |a set optimization 
653 |a set relations 
653 |a nonlinear scalarizing functional 
653 |a algebraic interior 
653 |a vector closure 
653 |a conjugate gradient method 
653 |a steepest descent method 
653 |a hybrid projection 
653 |a shrinking projection 
653 |a inertial Mann 
653 |a strongly convergence 
653 |a strict pseudo-contraction 
653 |a variational inequality problem 
653 |a inclusion problem 
653 |a signal processing 
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