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

共 50 条

[31] Multidimensional fixed point theorems under (ψ, φ)-contractive conditions in partially ordered complete metric spaces [J].

Roldan, A. ;

Martinez-Moreno, J. ;

Roldan, C. ;

Cho, Y. J. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 273 :76-87

[32] Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces [J].

Berinde, Vasile .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (18) :7347-7355

[33] Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces [J].

Aydi, Hassen ;

Damjanovic, Bosko ;

Samet, Bessem ;

Shatanawi, Wasfi .

MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) :2443-2450

[34] A note on 'N-fixed point theorems for nonlinear contractions in partially ordered metric spaces' [J].

Karapinar, Erdal ;

Roldan, Antonio ;

Roldan, Concepcion ;

Martinez-Moreno, Juan .

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[35] Coupled Fixed Point Theorems for Generalized Symmetric Contractions in Partially Ordered Metric Spaces and applications [J].

Jain, M. ;

Tas, K. ;

Rhoades, B. E. ;

Gupta, N. .

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (03) :438-454

[36] Some Fixed Point Theorems on Ordered Metric Spaces and Application [J].

Altun, Ishak ;

Simsek, Hakan .

FIXED POINT THEORY AND APPLICATIONS, 2010,

[37] Coupled Random Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces [J].

Ciric, Ljubomir ;

Lakshmikantham, V. .

STOCHASTIC ANALYSIS AND APPLICATIONS, 2009, 27 (06) :1246-1259

[38] Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces [J].

Mursaleen, Mohammad ;

Mohiuddine, Syed Abdul ;

Agarwal, Ravi P .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[39] N-fixed point theorems for nonlinear contractions in partially ordered metric spaces [J].

Mohadeseh Paknazar ;

Madjid Eshaghi Gordji ;

Manuel De La Sen ;

Seyed Mansour Vaezpour .

Fixed Point Theory and Applications, 2013

[40] Fixed-point theorems in partially ordered metric spaces for operators with PPF dependence [J].

Dricia, Z. ;

McRae, F. A. ;

Devi, J. Vasundhara .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (02) :641-647

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