Some coincidence and periodic points results in a metric space endowed with a graph and applications

Dhananjay Gopal; Calogero Vetro; Mujahid Abbas; Deepesh Kumar Patel

doi:10.15352/bjma/09-3-9

Some coincidence and periodic points results in a metric space endowed with a graph and applications

Dhananjay Gopal
, Calogero Vetro
, Mujahid Abbas
, Deepesh Kumar Patel

Sardar Vallabhbhai National Institute of Technology Surat
University of Palermo
University of Pretoria

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

18 Citations (Scopus)

Abstract

The purpose of this paper is to obtain some coincidence and periodic points results for generalized F-type contractions in a metric space endowed with a graph. Some examples are given to illustrate the new theory. Then, we apply our results to establishing the existence of solution for a certain type of nonlinear integral equation.

Original language	English
Pages (from-to)	128-139
Number of pages	12
Journal	Banach Journal of Mathematical Analysis
Volume	9
Issue number	3
DOIs	https://doi.org/10.15352/bjma/09-3-9
Publication status	Published - 2015
Externally published	Yes

Keywords

Coincidence point
Nonlinear integral equation
Periodic point

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.15352/bjma/09-3-9

Cite this

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title = "Some coincidence and periodic points results in a metric space endowed with a graph and applications",

abstract = "The purpose of this paper is to obtain some coincidence and periodic points results for generalized F-type contractions in a metric space endowed with a graph. Some examples are given to illustrate the new theory. Then, we apply our results to establishing the existence of solution for a certain type of nonlinear integral equation.",

keywords = "Coincidence point, Nonlinear integral equation, Periodic point",

author = "Dhananjay Gopal and Calogero Vetro and Mujahid Abbas and Patel, \{Deepesh Kumar\}",

year = "2015",

doi = "10.15352/bjma/09-3-9",

language = "English",

volume = "9",

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journal = "Banach Journal of Mathematical Analysis",

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T1 - Some coincidence and periodic points results in a metric space endowed with a graph and applications

AU - Gopal, Dhananjay

AU - Vetro, Calogero

AU - Abbas, Mujahid

AU - Patel, Deepesh Kumar

PY - 2015

Y1 - 2015

N2 - The purpose of this paper is to obtain some coincidence and periodic points results for generalized F-type contractions in a metric space endowed with a graph. Some examples are given to illustrate the new theory. Then, we apply our results to establishing the existence of solution for a certain type of nonlinear integral equation.

AB - The purpose of this paper is to obtain some coincidence and periodic points results for generalized F-type contractions in a metric space endowed with a graph. Some examples are given to illustrate the new theory. Then, we apply our results to establishing the existence of solution for a certain type of nonlinear integral equation.

KW - Coincidence point

KW - Nonlinear integral equation

KW - Periodic point

UR - https://www.scopus.com/pages/publications/84948778459

U2 - 10.15352/bjma/09-3-9

DO - 10.15352/bjma/09-3-9

M3 - Article

AN - SCOPUS:84948778459

SN - 2662-2033

VL - 9

SP - 128

EP - 139

JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

IS - 3

ER -

Some coincidence and periodic points results in a metric space endowed with a graph and applications

Abstract

Keywords

ASJC Scopus subject areas

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