Theory and Application of Fixed Point
In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and fractional integral equations (FIE). Indeed, FDE and...
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| フォーマット: | Online |
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| 言語: | 英語 |
| 出版事項: |
MDPI - Multidisciplinary Digital Publishing Institute
2022
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| オンライン･アクセス: | ONIX_20220111_9783036520711_653 |
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| _version_ | 1869522760593571840 |
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| collection | Directory of Open Access Books |
| description | In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and fractional integral equations (FIE). Indeed, FDE and FIE lead to a better understanding of several physical phenomena, which is why such differential equations have been highly appreciated and explored. We also note the importance of distinct abstract spaces, such as quasi-metric, b-metric, symmetric, partial metric, and dislocated metric. Sometimes, one of these spaces is more suitable for a particular application. Fixed point theory techniques in partial metric spaces have been used to solve classical problems of the semantic and domain theory of computer science. This book contains some very recent theoretical results related to some new types of contraction mappings defined in various types of spaces. There are also studies related to applications of the theoretical findings to mathematical models of specific problems, and their approximate computations. In this sense, this book will contribute to the area and provide directions for further developments in fixed point theory and its applications. |
| format | Online |
| id | doab-20.500.12854ir-76918 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-769182024-03-28T03:32:21Z Theory and Application of Fixed Point Karapinar, Erdal Martínez-Moreno, Juan Erhan, Inci M. common coupled fixed point bv(s)-metric space T-contraction weakly compatible mapping quasi-pseudometric start-point end-point fixed point weakly contractive variational inequalities inverse strongly monotone mappings demicontractive mappings fixed point problems Hadamard spaces geodesic space convex minimization problem resolvent common fixed point iterative scheme split feasibility problem null point problem generalized mixed equilibrium problem monotone mapping strong convergence Hilbert space the condition (ℰμ) standard three-step iteration algorithm uniformly convex Busemann space compatible maps common fixed points convex metric spaces q-starshaped fixed-point multivalued maps F-contraction directed graph metric space coupled fixed points cyclic maps uniformly convex Banach space error estimate equilibrium fixed points symmetric spaces binary relations T-transitivity regular spaces b-metric space b-metric-like spaces Cauchy sequence pre-metric space triangle inequality weakly uniformly strict contraction S-type tricyclic contraction metric spaces b2-metric space binary relation almost ℛg-Geraghty type contraction thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and fractional integral equations (FIE). Indeed, FDE and FIE lead to a better understanding of several physical phenomena, which is why such differential equations have been highly appreciated and explored. We also note the importance of distinct abstract spaces, such as quasi-metric, b-metric, symmetric, partial metric, and dislocated metric. Sometimes, one of these spaces is more suitable for a particular application. Fixed point theory techniques in partial metric spaces have been used to solve classical problems of the semantic and domain theory of computer science. This book contains some very recent theoretical results related to some new types of contraction mappings defined in various types of spaces. There are also studies related to applications of the theoretical findings to mathematical models of specific problems, and their approximate computations. In this sense, this book will contribute to the area and provide directions for further developments in fixed point theory and its applications. 2022-01-11T13:46:07Z 2022-01-11T13:46:07Z 2021 book ONIX_20220111_9783036520711_653 9783036520711 9783036520728 https://directory.doabooks.org/handle/20.500.12854/76918 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/4388 https://mdpi.com/books/pdfview/book/4388 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-2072-8 10.3390/books978-3-0365-2072-8 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036520711 9783036520728 220 Basel, Switzerland open access |
| spellingShingle | common coupled fixed point bv(s)-metric space T-contraction weakly compatible mapping quasi-pseudometric start-point end-point fixed point weakly contractive variational inequalities inverse strongly monotone mappings demicontractive mappings fixed point problems Hadamard spaces geodesic space convex minimization problem resolvent common fixed point iterative scheme split feasibility problem null point problem generalized mixed equilibrium problem monotone mapping strong convergence Hilbert space the condition (ℰμ) standard three-step iteration algorithm uniformly convex Busemann space compatible maps common fixed points convex metric spaces q-starshaped fixed-point multivalued maps F-contraction directed graph metric space coupled fixed points cyclic maps uniformly convex Banach space error estimate equilibrium fixed points symmetric spaces binary relations T-transitivity regular spaces b-metric space b-metric-like spaces Cauchy sequence pre-metric space triangle inequality weakly uniformly strict contraction S-type tricyclic contraction metric spaces b2-metric space binary relation almost ℛg-Geraghty type contraction thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Theory and Application of Fixed Point |
| title | Theory and Application of Fixed Point |
| title_full | Theory and Application of Fixed Point |
| title_fullStr | Theory and Application of Fixed Point |
| title_full_unstemmed | Theory and Application of Fixed Point |
| title_short | Theory and Application of Fixed Point |
| title_sort | theory and application of fixed point |
| topic | common coupled fixed point bv(s)-metric space T-contraction weakly compatible mapping quasi-pseudometric start-point end-point fixed point weakly contractive variational inequalities inverse strongly monotone mappings demicontractive mappings fixed point problems Hadamard spaces geodesic space convex minimization problem resolvent common fixed point iterative scheme split feasibility problem null point problem generalized mixed equilibrium problem monotone mapping strong convergence Hilbert space the condition (ℰμ) standard three-step iteration algorithm uniformly convex Busemann space compatible maps common fixed points convex metric spaces q-starshaped fixed-point multivalued maps F-contraction directed graph metric space coupled fixed points cyclic maps uniformly convex Banach space error estimate equilibrium fixed points symmetric spaces binary relations T-transitivity regular spaces b-metric space b-metric-like spaces Cauchy sequence pre-metric space triangle inequality weakly uniformly strict contraction S-type tricyclic contraction metric spaces b2-metric space binary relation almost ℛg-Geraghty type contraction thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | common coupled fixed point bv(s)-metric space T-contraction weakly compatible mapping quasi-pseudometric start-point end-point fixed point weakly contractive variational inequalities inverse strongly monotone mappings demicontractive mappings fixed point problems Hadamard spaces geodesic space convex minimization problem resolvent common fixed point iterative scheme split feasibility problem null point problem generalized mixed equilibrium problem monotone mapping strong convergence Hilbert space the condition (ℰμ) standard three-step iteration algorithm uniformly convex Busemann space compatible maps common fixed points convex metric spaces q-starshaped fixed-point multivalued maps F-contraction directed graph metric space coupled fixed points cyclic maps uniformly convex Banach space error estimate equilibrium fixed points symmetric spaces binary relations T-transitivity regular spaces b-metric space b-metric-like spaces Cauchy sequence pre-metric space triangle inequality weakly uniformly strict contraction S-type tricyclic contraction metric spaces b2-metric space binary relation almost ℛg-Geraghty type contraction thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20220111_9783036520711_653 |