Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market Equilibrium
This paper introduces the idea of a cone <i>m</i>-hemi metric space, which extends the idea of an <i>m</i>-hemi metric space. By presenting non-trivial examples, we demonstrate the superiority of cone <i>m</i>-hemi metric spaces over <i>m</i>-hemi metr...
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2024-12-01
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| Online Access: | https://www.mdpi.com/2075-1680/13/12/867 |
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| author | Lifang Guo Rabia Bibi Abeer Alshejari Ekrem Savas Tayyab Kamran Umar Ishtiaq |
| author_facet | Lifang Guo Rabia Bibi Abeer Alshejari Ekrem Savas Tayyab Kamran Umar Ishtiaq |
| author_sort | Lifang Guo |
| collection | DOAJ |
| description | This paper introduces the idea of a cone <i>m</i>-hemi metric space, which extends the idea of an <i>m</i>-hemi metric space. By presenting non-trivial examples, we demonstrate the superiority of cone <i>m</i>-hemi metric spaces over <i>m</i>-hemi metric spaces. Further, we extend the Banach contraction principle and Krasnoselskii, Meir–Keeler, Boyd–Wong, and some other fixed-point results in the setting of complete and compact cone <i>m</i>-hemi metric spaces. Furthermore, we provide several non-trivial examples and applications to the Fredholm integral equation and dynamic market equilibrium to demonstrate the validity of the main results. |
| format | Article |
| id | doaj-art-00bce9b262994c2d9a476737e8c6ac67 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-00bce9b262994c2d9a476737e8c6ac672024-12-27T14:10:26ZengMDPI AGAxioms2075-16802024-12-01131286710.3390/axioms13120867Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market EquilibriumLifang Guo0Rabia Bibi1Abeer Alshejari2Ekrem Savas3Tayyab Kamran4Umar Ishtiaq5School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, ChinaDepartment of Mathematics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, Usak University, Usak 64200, TurkeyDepartment of Mathematics, Quaid-i-Azam University, Islamabad 45320, PakistanOffice of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, PakistanThis paper introduces the idea of a cone <i>m</i>-hemi metric space, which extends the idea of an <i>m</i>-hemi metric space. By presenting non-trivial examples, we demonstrate the superiority of cone <i>m</i>-hemi metric spaces over <i>m</i>-hemi metric spaces. Further, we extend the Banach contraction principle and Krasnoselskii, Meir–Keeler, Boyd–Wong, and some other fixed-point results in the setting of complete and compact cone <i>m</i>-hemi metric spaces. Furthermore, we provide several non-trivial examples and applications to the Fredholm integral equation and dynamic market equilibrium to demonstrate the validity of the main results.https://www.mdpi.com/2075-1680/13/12/867cone metricfixed pointKrasnoselskiiBoyd–WongFredholm integral equations |
| spellingShingle | Lifang Guo Rabia Bibi Abeer Alshejari Ekrem Savas Tayyab Kamran Umar Ishtiaq Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market Equilibrium Axioms cone metric fixed point Krasnoselskii Boyd–Wong Fredholm integral equations |
| title | Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market Equilibrium |
| title_full | Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market Equilibrium |
| title_fullStr | Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market Equilibrium |
| title_full_unstemmed | Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market Equilibrium |
| title_short | Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market Equilibrium |
| title_sort | fixed point results for krasnoselskii meir keeler and boyd wong type mappings with applications to dynamic market equilibrium |
| topic | cone metric fixed point Krasnoselskii Boyd–Wong Fredholm integral equations |
| url | https://www.mdpi.com/2075-1680/13/12/867 |
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