期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
度量空间中(ψ,φ)-弱压缩映射不动点的存在性
- (1.石家庄铁道大学 四方学院, 河北 石家庄 051133； 2.石家庄铁道大学 数理系, 河北 石家庄 050043)
-
DOI：10.13763/j.cnki.jhebnu.nse.202201011
Existence of Fixed Points of (ψ, φ)-weakly Contractive Mappings in the Metric Spaces
摘要/Abstract
摘要：
在完备度量空间中得到了混合弱压缩映射的公共不动点定理.该定理减弱了已知结果中的ψ, φ2个函数所限制的条件, 并将之前的相应结果进行了推广和改进.
Abstract：
In this paper, we obtain a common fixed point theorem for mixed weakly contractive mappings in complete metric spaces.The theorem weakens the conditions limited by the two functions ψ, φ in the known results, and generalizes and improves the previous corresponding results.
关键词
Key words：
fixed point； weakly contractive mapping
;
metric space
;
lower limit
参考文献 7
- [1] ALBER Y I, GUERRE-DELABRIERE S.Principles of Weakly Contractive Maps in Hilbert Spaces [C]∥GOHBERG I, LYUBICH Y.New Results in Operator Theory and Its Appltication.Basel:Birkauser, 1997. doi: 10.1007/978-3-0348-8910-0_2
- [2] RHOADES B E.Some Theorems on Weakly Contractive Maps [J]. Nonlinear Anal, 2001, 47(4):2683-2693. doi: 10.1016/s0362-546x(01)00388-1
- [3] DUTTA P N, BINAYAK S.A Generalisation of Contraction Principle in Metric Spaces [J]. Fixed Point Theory Appl, 2008(1):406368. doi: 10.1155/2008/406368
- [4] C＇IRIC＇.A Generalization of Banach′s Contraction Principle [J]. Proceedings of the American Mathematical Society, 1974, 45(2):267-273. doi: 10.1090/s0002-9939-1974-0356011-2
- [5] XUE Zhiqun.The Existence of Fixed Points for Generalized Weak Contractions [J]. Kyungpook Math, 2015(55)：1089-1095. doi: 10.5666/kmj.2015.55.4.1089
- [6] DORIC D.Common Fixed Point for Generalized(ψ, φ)-weak Contractions [J]. Appl Math Lett, 2009(22):1896-1900. doi: 10.1016/j.aml.2009.08.001
- [7] ZHANG Q, SONG Y.Fixed Point Theory for Generalized φ-weak Contractions [J]. Appl Math Lett, 2009(22):75-78. doi: 10.1016/j.aml.2008.02.007