Unique fixed point theorems in partially ordered metric spaces

被引：15

作者：

Rao, N. Seshagiri ^{[1
]}

Kalyani, K. ^{[2
]}

机构：

[1] Adama Sci & Technol Univ, Sch Appl Nat Sci, Dept Appl Math, Post Box 1888, Adama, Ethiopia

[2] Vignans Fdn Sci Technol & Res, Dept Math, Vadlamudi 522213, Andhra Pradesh, India

来源：

HELIYON | 2020年 / 6卷 / 11期

关键词：

Mathematics; Partially ordered metric spaces; Rational contractions; Fixed point; CONTRACTIVE MAPPING THEOREMS; GENERALIZED CONTRACTIONS; SETS; OPERATORS;

D O I：

10.1016/j.heliyon.2020.e05563

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we establish some fixed point results of a mapping satisfying certain rational type contractive conditions in the frame work of a metric space endowed with partial order. Our results generalize and extend the result of Singh and Chatterjee (1988) [7] in partially ordered metric spaces and some existing results in the literature. Few illustrative examples are given to support our results.

引用

页数：7

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