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Common fixed-point results for nonlinear contractions in ordered partial metric spaces

机译:有序局部度量空间中非线性收缩的常见不动点结果

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In this paper, a new class of a pair of generalized nonlinear contractions on partially ordered partial metric spaces is introduced, and some coincidence and common fixed-point theorems for these contractions are proved. Presented theorems are twofold generalizations of very recent fixed-point theorems of Altun and Erduran (Fixed Point Theory Appl 2011(Article ID 508730):10, 2011), Altun et al. (Topol Appl 157(18):2778-2785, 2010), Matthews (Proceedings of the 8th summer conference on general topology and applications, New York Academy of Sciences, New York, pp. 183-197, 1994) and many other known corresponding theorems. 2000 Mathematics Subject Classifications: 54H25; 47H10.
机译:本文介绍了一类新的部分有序偏度量空间上的广义非线性收缩对,并证明了这些收缩的一些重合定理和常见的定点定理。提出的定理是Altun和Erduran(Fixed Point Theory Appl 2011(Article ID 508730):10,2011)的最新定点定理的双重概括。 (Topol Appl 157(18):2778-2785,2010),Matthews(第8届夏季夏季会议的一般拓扑和应用会议论文集,纽约科学院,纽约,pp。183-197,1994)和许多其他已知的相应的定理。 2000年数学学科分类:54H25; 47H10。

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