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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| Format: | Online |
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| Jezik: | engleski |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Online pristup: | ONIX_20210501_9783039367764_737 |
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| _version_ | 1869518015590039552 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-68991 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-689912024-03-28T03:32:17Z Applied Functional Analysis and Its Applications Yao, Jen-Chih Shahram Rezapour, Shahram 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2021-05-01T15:34:55Z 2021-05-01T15:34:55Z 2020 book ONIX_20210501_9783039367764_737 9783039367764 9783039367771 https://directory.doabooks.org/handle/20.500.12854/68991 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2759 https://mdpi.com/books/pdfview/book/2759 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03936-777-1 10.3390/books978-3-03936-777-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039367764 9783039367771 184 Basel, Switzerland open access |
| spellingShingle | 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Applied Functional Analysis and Its Applications |
| title | 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_short | Applied Functional Analysis and Its Applications |
| title_sort | applied functional analysis and its applications |
| topic | 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20210501_9783039367764_737 |