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

42 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

Cite this

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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.",

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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 Algorithms for Sciences and Engineering",

issn = "1687-1820",

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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 Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

SN - 1687-1820

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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