Fixed Point Theory and Related Topics
Fixed point theory arose from the Banach contraction principle and has been studied for a long time. Its application mostly relies on the existence of solutions to mathematical problems that are formulated from economics and engineering. After the existence of the solutions is guaranteed, the numeri...
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| Format: | Online |
| Language: | English |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Online Access: | 44810 |
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| _version_ | 1869528486854524928 |
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| author | Wu, Hsien-Chung |
| author_browse | Wu, Hsien-Chung |
| author_facet | Wu, Hsien-Chung |
| author_sort | Wu, Hsien-Chung |
| collection | Directory of Open Access Books |
| description | Fixed point theory arose from the Banach contraction principle and has been studied for a long time. Its application mostly relies on the existence of solutions to mathematical problems that are formulated from economics and engineering. After the existence of the solutions is guaranteed, the numerical methodology will be established to obtain the approximated solution. Fixed points of function depend heavily on the considered spaces that are defined using the intuitive axioms. In particular, variant metrics spaces are proposed, like a partial metric space, b-metric space, fuzzy metric space and probabilistic metric space, etc. Different spaces will result in different types of fixed point theorems. In other words, there are a lot of different types of fixed point theorems in the literature. Therefore, this Special Issue welcomes survey articles. Articles that unify the different types of fixed point theorems are also very welcome. The topics of this Special Issue include the following: Fixed point theorems in metric space Fixed point theorems in fuzzy metric space Fixed point theorems in probabilistic metric space Fixed point theorems of set-valued functions in various spaces The existence of solutions in game theory The existence of solutions for equilibrium problems The existence of solutions of differential equations The existence of solutions of integral equations Numerical methods for obtaining the approximated fixed points |
| format | Online |
| id | doab-20.500.12854ir-47721 |
| 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-477212024-09-16T10:29:05Z Fixed Point Theory and Related Topics Wu, Hsien-Chung R proximity point contactomorphism Geraghty graph diffeomorphism G-contraction rectangular metric preserving mapping (?g fixed point b-metric space common fixed point binary relation symplectomorphism thema EDItEUR::R Earth Sciences, Geography, Environment, Planning Fixed point theory arose from the Banach contraction principle and has been studied for a long time. Its application mostly relies on the existence of solutions to mathematical problems that are formulated from economics and engineering. After the existence of the solutions is guaranteed, the numerical methodology will be established to obtain the approximated solution. Fixed points of function depend heavily on the considered spaces that are defined using the intuitive axioms. In particular, variant metrics spaces are proposed, like a partial metric space, b-metric space, fuzzy metric space and probabilistic metric space, etc. Different spaces will result in different types of fixed point theorems. In other words, there are a lot of different types of fixed point theorems in the literature. Therefore, this Special Issue welcomes survey articles. Articles that unify the different types of fixed point theorems are also very welcome. The topics of this Special Issue include the following: Fixed point theorems in metric space Fixed point theorems in fuzzy metric space Fixed point theorems in probabilistic metric space Fixed point theorems of set-valued functions in various spaces The existence of solutions in game theory The existence of solutions for equilibrium problems The existence of solutions of differential equations The existence of solutions of integral equations Numerical methods for obtaining the approximated fixed points 2021-02-11T13:46:05Z 2021-02-11T13:46:05Z 2020-04-07 23:07:09 2020 book 44810 9783039284320 9783039284337 https://directory.doabooks.org/handle/20.500.12854/47721 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/2087 https://mdpi.com/books/pdfview/book/2087 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03928-433-7 10.3390/books978-3-03928-433-7 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039284320 9783039284337 236 open access |
| spellingShingle | R proximity point contactomorphism Geraghty graph diffeomorphism G-contraction rectangular metric preserving mapping (?g fixed point b-metric space common fixed point binary relation symplectomorphism thema EDItEUR::R Earth Sciences, Geography, Environment, Planning Wu, Hsien-Chung Fixed Point Theory and Related Topics |
| title | Fixed Point Theory and Related Topics |
| title_full | Fixed Point Theory and Related Topics |
| title_fullStr | Fixed Point Theory and Related Topics |
| title_full_unstemmed | Fixed Point Theory and Related Topics |
| title_short | Fixed Point Theory and Related Topics |
| title_sort | fixed point theory and related topics |
| topic | R proximity point contactomorphism Geraghty graph diffeomorphism G-contraction rectangular metric preserving mapping (?g fixed point b-metric space common fixed point binary relation symplectomorphism thema EDItEUR::R Earth Sciences, Geography, Environment, Planning |
| topic_facet | R proximity point contactomorphism Geraghty graph diffeomorphism G-contraction rectangular metric preserving mapping (?g fixed point b-metric space common fixed point binary relation symplectomorphism thema EDItEUR::R Earth Sciences, Geography, Environment, Planning |
| url | 44810 |
| work_keys_str_mv | AT wuhsienchung fixedpointtheoryandrelatedtopics |