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本文引用的文献

1
Fixed point results for weak contractions in partially ordered b-metric space.部分序 b-度量空间中弱压缩的不动点结果。
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2
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Heliyon. 2020 Nov 25;6(11):e05563. doi: 10.1016/j.heliyon.2020.e05563. eCollection 2020 Nov.
3
Some fixed point results of generalized [Formula: see text]-contractive mappings in ordered b-metric spaces.在序 b-度量空间中广义 [Formula: see text]-压缩映象的一些不动点结果。
BMC Res Notes. 2020 Nov 17;13(1):537. doi: 10.1186/s13104-020-05354-1.
4
Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function.具有辅助函数的有序b-度量空间中非线性压缩映射的不动点定理
BMC Res Notes. 2020 Sep 22;13(1):451. doi: 10.1186/s13104-020-05273-1.

部分序度量空间中有理型压缩的广义不动点结果。

Generalized fixed point results of rational type contractions in partially ordered metric spaces.

机构信息

Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No. 1888, Adama, Ethiopia.

Department of Mathematics, Vignan's Foundation for Science, Technology and Research, Vadlamudi, 522213, Andhra Pradesh, India.

出版信息

BMC Res Notes. 2021 Oct 15;14(1):390. doi: 10.1186/s13104-021-05801-7.

DOI:10.1186/s13104-021-05801-7
PMID:34654470
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8518331/
Abstract

OBJECTIVES

We investigated the existence and uniqueness of a fixed point for the mapping satisfying generalized rational type contraction conditions in metric space endowed with partial order. Suitable examples are presented to justify the results obtained.

RESULT

Some new fixed point results have been obtained for a mapping fulfilling generalized contractions. The uniqueness of the fixed point is also the part of the study based on an ordered relation. One example is given for a result which is not valid in the usual metric space.

摘要

目的

我们研究了在赋有偏序的度量空间中满足广义有理型压缩条件的映射的不动点的存在性和唯一性。给出了合适的例子来说明所得到的结果。

结果

对于满足广义压缩的映射，我们得到了一些新的不动点结果。基于序关系，还研究了不动点的唯一性。给出了一个在通常度量空间中不成立的结果的例子。