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$C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 18، دوره 8، شماره 1، مهر 2017، صفحه 209-224 اصل مقاله (411.27 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.1636.1429 | ||
نویسندگان | ||
Hossein Monfared1؛ Mahdi Azhini1؛ Mehdi Asadi* 2 | ||
1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
2Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran | ||
تاریخ دریافت: 07 مهر 1395، تاریخ بازنگری: 17 فروردین 1396، تاریخ پذیرش: 14 خرداد 1396 | ||
چکیده | ||
Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In 2014 Asadi and {\it et al.} [New Extension of $p$-Metric Spaces with Some fixed point Results on $M$-metric paces, J. Ineq. Appl. 2014 (2014): 18] extend the Partial metric spaces to $M$-metric spaces. In this work, we introduce the class of $F(\psi,\varphi)$-contractions and investigate the existence and uniqueness of fixed points for the new class $\mathcal{C}$ in the setting of $M$-metric spaces. The theorems that we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions. | ||
کلیدواژهها | ||
Fixed point؛ Partial metric space؛ $M$-metric space | ||
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