偏v-度量空间中有关Meir-Keeler-Rational型映射的不动点理论
Fixed Point Theorems for a Generalized Me-ir-Keeler-Rational Contraction in Partial v-Generalized Metric Spaces
DOI: 10.12677/PM.2019.93052, PDF,    科研立项经费支持
作者: 王小卉, 纪培胜, 董芳远:青岛大学,数学与统计学院,山东 青岛
关键词: Meir-Keeler-Rational型映射偏v-度量空间不动点Meir-Keeler-Rational Contraction Partial v-Generalized Metric Space Fixed Points
摘要: 本文主要介绍了偏v-度量空间中有关Meir-Keeler-Rational型映射的不动点定理,我们的结果推广了以往论文中的一些结论。
Abstract: In this paper, we consider the fixed points of generalized Meir-Keeler-Rational contractions in the context of partial  v-generalized metric spaces. Our results generalize several known ones in literature.
文章引用:王小卉, 纪培胜, 董芳远. 偏v-度量空间中有关Meir-Keeler-Rational型映射的不动点理论[J]. 理论数学, 2019, 9(3): 393-402. https://doi.org/10.12677/PM.2019.93052

参考文献

[1] Banach, S. (1922) Sur les operations dans les ensembles abstraits et leur application aux equations integrals. Fundamenta Mathematicae, 20, 133-181.
[Google Scholar] [CrossRef
[2] Shukla, S. (2014) Partial b-Metric Spaces and Fixed Point Theorems. Mediterranean Journal of Mathematics, 11, 703-711.
[Google Scholar] [CrossRef
[3] Mitrovic, Z.D. and Radenovic, S. (2017) The Banach and Reich Contractions in -Metric Spaces. Fixed Point Theory and Applications, 19, 3087-3095.
[Google Scholar] [CrossRef
[4] Branciari, A. (2000) A Fixed Point Theorem of Banach-Caccioppoli Type on a Class of Generalized Metric Spaces. Publicationes Mathematicae, 57, 31-37.
[5] Abdullahi, M.S. and Kumam, P. (2018) Partial -Metric Spaces and Fixed Point Theorems. Fixed Point Theory and Applications, 20, 113.
[Google Scholar] [CrossRef
[6] Meir, A. and Keeler, E. (1969) A Theorem on Contraction Mappings. Journal of Mathematical Analysis & Applications, 28, 326-329.
[Google Scholar] [CrossRef
[7] Jachymski, J. (1995) Equivalent Conditions and the Meir-Keeler Type Theorems. Journal of Mathematical Analysis & Applications, 194, 293-303.
[Google Scholar] [CrossRef
[8] Mattehews, S.G. (1994) Partial Metric Topology. Annals of the New York Academy of Sciences, 728, 183-197.
[9] Shukla, S. (2014) Partial Rectangular Metric Spaces and Fixed Point Theorems. The Scientific World Journal, 2014, Article ID: 756298.
[Google Scholar] [CrossRef] [PubMed]
[10] Suzuki, T. (2014) Generalized Metric Spaces Do Not Have the Compatible Topology. Abstract and Applied Analysis, 2014, Article ID: 458098.
[Google Scholar] [CrossRef
[11] Samet, B., Vetro, C. and Vetro, P. (2012) Fixed Point Theorems for -Contractive Type Mappings. Nonlinear Analysis, 75, 2154-2165.
[Google Scholar] [CrossRef
[12] Vahid, P., Nawab, H. and Zoran, K. (2016) Generalized Wardowski Type Fixed Point Theorems via -Admissable FG-Contractions in b-Metric Spaces. Acta Mathematica Scientia, 5, 1445-1456.
[Google Scholar] [CrossRef