Fixed point of set-valued graph contractions in metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 59، دوره 12، شماره 1، مرداد 2021، صفحه 741-747 اصل مقاله (553.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4922 | ||
| نویسندگان | ||
| Masoud Ghods* ؛ Masoud Hadian Dehkordi | ||
| Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran | ||
| چکیده | ||
| In this paper, we introduce the (G-$\psi$) contraction in a metric space by using a graph. Let $T$ be a multivalued mappings on $X.$ Among other things, we obtain a fixed point of the mapping $T$ in the metric space $X$ endowed with a graph $G$ such that the set of vertices of $G,$ $V(G)=X$ and the set of edges of $G,$ $E(G)\subseteq X\times X.$ | ||
| کلیدواژهها | ||
| Fixed point؛ multivalued؛ (G-$\psi$) contraction؛ directed graph | ||
| مراجع | ||
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