The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class $C$
In this paper, we obtain a result on the existence of fixed points in Hilbert space using functions of class $C$. Recently, Chouhan and Desai published a paper [Some Common Fixed-Point Theorems in Hilbert Space, J. Eemerg. Technol. Innov. Res., 2022, 9(10), 1-12]. We observed an error in the proof o...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2025-01-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_718819_37c2077ddfbccac1806a5f28256a027e.pdf |
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| author | Mana Donganont Arsalan Ansari Snjezana Maksimovic Zoran Mitrovic |
| author_facet | Mana Donganont Arsalan Ansari Snjezana Maksimovic Zoran Mitrovic |
| author_sort | Mana Donganont |
| collection | DOAJ |
| description | In this paper, we obtain a result on the existence of fixed points in Hilbert space using functions of class $C$. Recently, Chouhan and Desai published a paper [Some Common Fixed-Point Theorems in Hilbert Space, J. Eemerg. Technol. Innov. Res., 2022, 9(10), 1-12]. We observed an error in the proof of Theorem 3.2 on page d316 of their paper. Using the $C$-class of functions, we have corrected this error and improved their result. |
| format | Article |
| id | doaj-art-ac6d1dcd49564f0c9c21268df7d454ca |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-ac6d1dcd49564f0c9c21268df7d454ca2025-02-11T05:28:01ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-01-0122114916110.22130/scma.2024.2026714.1697718819The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class $C$Mana Donganont0Arsalan Ansari1Snjezana Maksimovic2Zoran Mitrovic3School of Science, University of Phayao, Phayao 56000, Thailand.Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, Medunsa-0204, South Africa.Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka, Bosnia and Herzegovina.Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina.In this paper, we obtain a result on the existence of fixed points in Hilbert space using functions of class $C$. Recently, Chouhan and Desai published a paper [Some Common Fixed-Point Theorems in Hilbert Space, J. Eemerg. Technol. Innov. Res., 2022, 9(10), 1-12]. We observed an error in the proof of Theorem 3.2 on page d316 of their paper. Using the $C$-class of functions, we have corrected this error and improved their result.https://scma.maragheh.ac.ir/article_718819_37c2077ddfbccac1806a5f28256a027e.pdffixed pointhilbert space$c-$class functionaltering distance function |
| spellingShingle | Mana Donganont Arsalan Ansari Snjezana Maksimovic Zoran Mitrovic The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class $C$ Sahand Communications in Mathematical Analysis fixed point hilbert space $c-$class function altering distance function |
| title | The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class $C$ |
| title_full | The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class $C$ |
| title_fullStr | The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class $C$ |
| title_full_unstemmed | The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class $C$ |
| title_short | The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class $C$ |
| title_sort | results on the existence of fixed points in hilbert spaces via functions of class c |
| topic | fixed point hilbert space $c-$class function altering distance function |
| url | https://scma.maragheh.ac.ir/article_718819_37c2077ddfbccac1806a5f28256a027e.pdf |
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