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

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

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

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

Matematica e Informatica

Risultato della ricerca: Article › peer review

14 Citazioni (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.

Lingua originale	English
pagine (da-a)	128-139
Numero di pagine	12
Rivista	Banach Journal of Mathematical Analysis
Volume	9
Stato di pubblicazione	Published - 2015

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory

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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.",

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AU - Vetro, Calogero

AU - Gopal, Dhananjay

AU - Patel, Deepesh Kumar

AU - Abbas, Mujahid

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.

UR - http://hdl.handle.net/10447/126434

UR - https://projecteuclid.org/euclid.bjma/1419001707

M3 - Article

VL - 9

SP - 128

EP - 139

JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

SN - 1735-8787

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