Unique fixed point theorems in partially ordered metric spaces

被引：14
|
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.
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页数：7
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