Fixed point results for nonlinear contractions with application to integral equations

Rahul Shukla; Rajendra Pant

doi:10.1142/S1793557120500072

Fixed point results for nonlinear contractions with application to integral equations

Rahul Shukla, Rajendra Pant

Visvesvaraya National Institute of Technology

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

4 Citations (Scopus)

Abstract

We present a number of fixed and common fixed point theorems for a class of nonlinear contractions in metric spaces and metric spaces endowed with graphs. Our results complement, extend and generalize a number of fixed point theorems including a recent fixed point theorem of Kim et al. [Suzuki-type of common fixed theorem in metric spaces, J. Nonlinear Convex Anal. 16 (2015) 1779-1786]. We also discuss an application to a system of integral equations.

Original language	English
Article number	2050007
Journal	Asian-European Journal of Mathematics
Volume	12
Issue number	7
DOIs	https://doi.org/10.1142/S1793557120500072
Publication status	Published - 1 Dec 2019
Externally published	Yes

Keywords

Boyd-Wong type contraction
Common fixed point
Suzuki-type contraction

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1142/S1793557120500072

Cite this

@article{8dbf3384e8114772a51b8efea4251559,

title = "Fixed point results for nonlinear contractions with application to integral equations",

abstract = "We present a number of fixed and common fixed point theorems for a class of nonlinear contractions in metric spaces and metric spaces endowed with graphs. Our results complement, extend and generalize a number of fixed point theorems including a recent fixed point theorem of Kim et al. [Suzuki-type of common fixed theorem in metric spaces, J. Nonlinear Convex Anal. 16 (2015) 1779-1786]. We also discuss an application to a system of integral equations.",

keywords = "Boyd-Wong type contraction, Common fixed point, Suzuki-type contraction",

author = "Rahul Shukla and Rajendra Pant",

note = "Publisher Copyright: {\textcopyright} 2019 World Scientific Publishing Company.",

year = "2019",

month = dec,

day = "1",

doi = "10.1142/S1793557120500072",

language = "English",

volume = "12",

journal = "Asian-European Journal of Mathematics",

issn = "1793-5571",

publisher = "World Scientific",

number = "7",

}

TY - JOUR

T1 - Fixed point results for nonlinear contractions with application to integral equations

AU - Shukla, Rahul

AU - Pant, Rajendra

PY - 2019/12/1

Y1 - 2019/12/1

N2 - We present a number of fixed and common fixed point theorems for a class of nonlinear contractions in metric spaces and metric spaces endowed with graphs. Our results complement, extend and generalize a number of fixed point theorems including a recent fixed point theorem of Kim et al. [Suzuki-type of common fixed theorem in metric spaces, J. Nonlinear Convex Anal. 16 (2015) 1779-1786]. We also discuss an application to a system of integral equations.

AB - We present a number of fixed and common fixed point theorems for a class of nonlinear contractions in metric spaces and metric spaces endowed with graphs. Our results complement, extend and generalize a number of fixed point theorems including a recent fixed point theorem of Kim et al. [Suzuki-type of common fixed theorem in metric spaces, J. Nonlinear Convex Anal. 16 (2015) 1779-1786]. We also discuss an application to a system of integral equations.

KW - Boyd-Wong type contraction

KW - Common fixed point

KW - Suzuki-type contraction

UR - http://www.scopus.com/inward/record.url?scp=85052676819&partnerID=8YFLogxK

U2 - 10.1142/S1793557120500072

DO - 10.1142/S1793557120500072

M3 - Article

AN - SCOPUS:85052676819

SN - 1793-5571

VL - 12

JO - Asian-European Journal of Mathematics

JF - Asian-European Journal of Mathematics

IS - 7

M1 - 2050007

ER -

Fixed point results for nonlinear contractions with application to integral equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this