Fixed point results for Geraghty-weak contractions in ordered partial rectangular b-metric spaces

被引：9

作者：

Asim, Mohammad ^{[1
]}

Imdad, Mohammad ^{[2
]}

Shukla, Satish ^{[3
]}

机构：

[1] Shree Guru Gobind Singh Tricentenary Univ, Fac Sci, Dept Math, Gurugram, Haryana, India

[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[3] Shri Vaishanav Inst Technol & Sci, Dept Appl Math, Indore, India

来源：

AFRIKA MATEMATIKA | 2021年 / 32卷 / 5-6期

关键词：

Partial rectangular b-metric; Geraghty-weak contraction; Ordered set; Fixed point; BANACH-CACCIOPPOLI TYPE; THEOREMS; SETS;

D O I：

10.1007/s13370-020-00862-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2017, Parvaneh et al. (J Math Anal 8(1):183-201, 2017) further extended rectangular metric space by introduced partial rectangular b-metric space and utilized the same to prove some fixed point results. Almost at the same time, Roshan et al. (Nonlinear Anal Model Control 21(5):614-634, 2016) generalized Geraghty fixed point results by proving some fixed point results in b-rectangular metric space. In this paper, we prove some ordered-theoretic fixed point results for Geraghty-weak contraction in ordered partial rectangular b-metric space. Our results extend and improve many existing results in literature. We also furnish an example which exhibits the utility of our results.

引用

页码：811 / 827

页数：17

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