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Common fixed points of four maps using generalized weak contractivity and well-posedness | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 9، دوره 2، شماره 1، فروردین 2011، صفحه 73-81 اصل مقاله (170.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2011.103 | ||
| نویسنده | ||
| M. Akkouchi* | ||
| Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, P. O. Box, 2390, Marrakech, Morocco (Maroc). | ||
| تاریخ دریافت: 22 خرداد 1389، تاریخ بازنگری: 10 شهریور 1389، تاریخ پذیرش: 25 شهریور 1389 | ||
| چکیده | ||
| In this paper, we introduce the concept of generalized $\phi$-contractivity of a pair of maps w.r.t. another pair. We establish a common fixed point result for two pairs of self-mappings, when one of these pairs is generalized $\phi$-contraction w.r.t. the other and study the well-posedness of their fixed point problem. In particular, our fixed point result extends the main result of a recent paper by Qingnian Zhang and Yisheng Song. | ||
| کلیدواژهها | ||
| Common fixed point for four mappings؛ generalized $phi$−contractions؛ lower semi-continuity؛ weakly compatible mappings؛ well-posed common fixed point problem | ||
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