Rational type contractions in extended b-metric spaces

Huaping Huang; Yumnam Mahendra Singh; Mohammad Saeed Khan; Stojan Radenović

doi:10.3390/sym13040614

Rational type contractions in extended b-metric spaces

Huaping Huang^*
, Yumnam Mahendra Singh
, Mohammad Saeed Khan
, Stojan Radenović

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.

Original language	English
Article number	614
Journal	Symmetry
Volume	13
Issue number	4
DOIs	https://doi.org/10.3390/sym13040614
Publication status	Published - Apr 2021
Externally published	Yes

Keywords

Comparison function
Extended b-metric space
Fredholm integral equation
Rational type contraction
α-admissible

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10.3390/sym13040614

Cite this

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title = "Rational type contractions in extended b-metric spaces",

abstract = "In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.",

keywords = "Comparison function, Extended b-metric space, Fredholm integral equation, Rational type contraction, α-admissible",

author = "Huaping Huang and Singh, \{Yumnam Mahendra\} and Khan, \{Mohammad Saeed\} and Stojan Radenovi{\'c}",

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volume = "13",

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AU - Singh, Yumnam Mahendra

AU - Khan, Mohammad Saeed

AU - Radenović, Stojan

PY - 2021/4

Y1 - 2021/4

N2 - In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.

AB - In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.

KW - Comparison function

KW - Extended b-metric space

KW - Fredholm integral equation

KW - Rational type contraction

KW - α-admissible

UR - https://www.scopus.com/pages/publications/85104361266

U2 - 10.3390/sym13040614

DO - 10.3390/sym13040614

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SN - 2073-8994

VL - 13

JO - Symmetry

JF - Symmetry

IS - 4

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ER -

Rational type contractions in extended b-metric spaces

Abstract

Keywords

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