Common Fixed Point Theorem for Noncontinuous Maps in Complete Metric Spaces Satisfying F - Contraction

被引：0

作者：

Mani, Naveen ^{[1
]}

Sharma, Amit ^{[2
]}

Bhardwaj, Reeta ^{[2
]}

机构：

[1] Sandip Univ, Nasik, Maharashtra, India

[2] Amity Univ Haryana, Gurgaon, Haryana, India

来源：

ADVANCES IN BASIC SCIENCES (ICABS 2019) | 2019年 / 2142卷

关键词：

Common fixed point; F; -; contraction; metric spaces; integral contraction; noncontinuous map;

D O I：

10.1063/1.5122606

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 manuscript, by using F - contraction, a common fixed point result for a pair of noncontinuous self maps in complete metric spaces are proved. Main result of this paper extend and generalize the result of Wardowski [Fixed Point Theory and Applications 2012, 2012:94]. An example has been given in support of our main finding.

引用

页数：6

共 19 条

[1] On common fixed points for α-F-contractions and applications [J].

Al-Rawashdeh, Ahmed ;

Aydi, Hassen ;

Felhi, Abdelbasset ;

Sahmim, Slah ;

Shatanawi, Wasfi .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05) :3445-3458

[2] Fixed points of generalized contractive mappings of integral type [J].

Alsulami, Hamed H. ;

Karapinar, Erdal ;

O'Regan, Donal ;

Shahi, Priya .

FIXED POINT THEORY AND APPLICATIONS, 2014,

[3] Fixed points of weakly compatible maps satisfying a general contractive condition of integral type [J].

Altun, Ishak ;

Turkoglu, Duran ;

Rhoades, Billy E. .

FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)

[4]

[Anonymous], 2018, Math. Morav., DOI DOI 10.5937/MATMOR1801043M

[5]

[Anonymous], 2013, INT J NONLINEAR SCI

[6]

[Anonymous], 2013, J MATH-UK

[7]

Banach S., 1922, Fund. Maths., V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]

[8]

Batra R., 2014, INT J MATH ANAL, V8, P1315, DOI [10.12988/ijma.2014.45147, DOI 10.12988/IJMA.2014.45147]

[9]

Branciari A., 2002, Int J Math Math Sci, V29, P531, DOI [10.1155/S0161171202007524, DOI 10.1155/S0161171202007524]

[10]

Brown M. P., 2004, APPL PHYS LETT, V85, P2503

← 1 2 →