New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application
| Autor: | Hossein Monfared, Mehdi Asadi, Ali Farajzadeh |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Sahand Communications in Mathematical Analysis, Vol 17, Iss 2, Pp 161-171 (2020) |
| Druh dokumentu: | article |
| ISSN: | 2322-5807 2423-3900 |
| DOI: | 10.22130/scma.2018.84950.427 |
| Popis: | In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions via $alpha$-admissible simulation mappings, as well. Our results can be viewed as extension of the corresponding results in this area. Moreover, some examples and an application to functional integral equations are given to support the obtained results. |
| Databáze: | Directory of Open Access Journals |
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