Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings

Pasquale Vetro; Erdal Karapinar; Nawab Hussain; Peyman Salimi; Nawab Hussain

Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings

Pasquale Vetro, Erdal Karapinar, Nawab Hussain, Peyman Salimi, Nawab Hussain

Matematica e Informatica

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

37 Citations (Scopus)

Abstract

In this paper, first we introduce the notion of a $G^m$-Meir-Keeler contractive mapping and establish some fixed point theorems for the $G^m$-Meir-Keeler contractive mapping in the setting of $G$-metricspaces. Further, we introduce the notion of a $G_c^m$-Meir-Keeler contractive mapping in the setting of $G$-cone metric spaces andobtain a fixed point result. Later, we introduce the notion of a $G$-$(\alpha,\psi)$-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of$G$-metric spaces.

Original language	English
Pages (from-to)	1-14
Number of pages	0
Journal	Fixed Point Theory and Applications
Volume	2013
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

Geometry and Topology
Applied Mathematics

Access to Document

Fingerprint Dive into the research topics of 'Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings'. Together they form a unique fingerprint.

Cite this

@article{6050e67330bc4af386226e9ae9cd005c,

title = "Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings",

abstract = "In this paper, first we introduce the notion of a $G^m$-Meir-Keeler contractive mapping and establish some fixed point theorems for the $G^m$-Meir-Keeler contractive mapping in the setting of $G$-metricspaces. Further, we introduce the notion of a $G_c^m$-Meir-Keeler contractive mapping in the setting of $G$-cone metric spaces andobtain a fixed point result. Later, we introduce the notion of a $G$-$(\alpha,\psi)$-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of$G$-metric spaces.",

keywords = "$G$-$(\alpha, $G$-Cone metric space, $G$-metric space, $G^m$-Meir-Keeler contractive mapping, $G_c^m$-Meir-Keeler contractive mapping, \psi)$-Meir-Keeler contractive mapping, $G$-$(\alpha, $G$-Cone metric space, $G$-metric space, $G^m$-Meir-Keeler contractive mapping, $G_c^m$-Meir-Keeler contractive mapping, \psi)$-Meir-Keeler contractive mapping",

author = "Pasquale Vetro and Erdal Karapinar and Nawab Hussain and Peyman Salimi and Nawab Hussain",

year = "2013",

language = "English",

volume = "2013",

pages = "1--14",

journal = "Fixed Point Theory and Applications",

issn = "1687-1820",

publisher = "Springer Publishing Company",

}

TY - JOUR

T1 - Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings

AU - Vetro, Pasquale

AU - Karapinar, Erdal

AU - Hussain, Nawab

AU - Salimi, Peyman

AU - Hussain, Nawab

PY - 2013

Y1 - 2013

N2 - In this paper, first we introduce the notion of a $G^m$-Meir-Keeler contractive mapping and establish some fixed point theorems for the $G^m$-Meir-Keeler contractive mapping in the setting of $G$-metricspaces. Further, we introduce the notion of a $G_c^m$-Meir-Keeler contractive mapping in the setting of $G$-cone metric spaces andobtain a fixed point result. Later, we introduce the notion of a $G$-$(\alpha,\psi)$-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of$G$-metric spaces.

AB - In this paper, first we introduce the notion of a $G^m$-Meir-Keeler contractive mapping and establish some fixed point theorems for the $G^m$-Meir-Keeler contractive mapping in the setting of $G$-metricspaces. Further, we introduce the notion of a $G_c^m$-Meir-Keeler contractive mapping in the setting of $G$-cone metric spaces andobtain a fixed point result. Later, we introduce the notion of a $G$-$(\alpha,\psi)$-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of$G$-metric spaces.

KW - $G$-$(\alpha

KW - $G$-Cone metric space

KW - $G$-metric space

KW - $G^m$-Meir-Keeler contractive mapping

KW - $G_c^m$-Meir-Keeler contractive mapping

KW - \psi)$-Meir-Keeler contractive mapping

KW - $G$-$(\alpha

KW - $G$-Cone metric space

KW - $G$-metric space

KW - $G^m$-Meir-Keeler contractive mapping

KW - $G_c^m$-Meir-Keeler contractive mapping

KW - \psi)$-Meir-Keeler contractive mapping

UR - http://hdl.handle.net/10447/71013

UR - http://www.fixedpointtheoryandapplications.com/content/2013/1/34

M3 - Article

VL - 2013

SP - 1

EP - 14

JO - Fixed Point Theory and Applications

JF - Fixed Point Theory and Applications

SN - 1687-1820

ER -