Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation

Calogero Vetro; Dhananjay Gopal; Mujahid Abbas

Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation

Calogero Vetro, Dhananjay Gopal, Mujahid Abbas

Matematica e Informatica

Risultato della ricerca: Article › peer review

27 Citazioni (Scopus)

Abstract

We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results foran alpha-psi-type contractive mapping and then for a generalized beta-type contractive mapping. Some examples and an application to Volterra type integralequation are given to support the obtained results.

Lingua originale	English
pagine (da-a)	955-967
Numero di pagine	13
Rivista	Applied Mathematics and Computation
Volume	232
Stato di pubblicazione	Published - 2014

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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abstract = "We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results foran alpha-psi-type contractive mapping and then for a generalized beta-type contractive mapping. Some examples and an application to Volterra type integralequation are given to support the obtained results.",

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AU - Vetro, Calogero

AU - Gopal, Dhananjay

AU - Abbas, Mujahid

PY - 2014

Y1 - 2014

N2 - We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results foran alpha-psi-type contractive mapping and then for a generalized beta-type contractive mapping. Some examples and an application to Volterra type integralequation are given to support the obtained results.

AB - We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results foran alpha-psi-type contractive mapping and then for a generalized beta-type contractive mapping. Some examples and an application to Volterra type integralequation are given to support the obtained results.

UR - http://hdl.handle.net/10447/94920

UR - http://dx.doi.org/10.1016/j.amc.2014.01.135

M3 - Article

VL - 232

SP - 955

EP - 967

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

ER -