Fixed points of mappings satisfying contractive condition of integral type in modular spaces endowed with a graph

Mahpeyker Öztürk; Mujahid Abbas; Ekber Girgin

doi:10.1186/1687-1812-2014-220

Fixed points of mappings satisfying contractive condition of integral type in modular spaces endowed with a graph

Mahpeyker Öztürk
, Mujahid Abbas
, Ekber Girgin

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

8 Citations (Scopus)

Abstract

Jachymski (Proc. Am. Math. Soc. 136:1359-1373, 2008) gave a modified version of a Banach fixed point theorem on a metric space endowed with a graph. The aim of this paper is to present fixed point results of mappings satisfying integral type contractive conditions in the framework of modular spaces endowed with a graph. Some examples are presented to support the results proved herein. Our results generalize and extend various comparable results in the existing literature. MSC:47H10, 54H25, 54E50.

Original language	English
Article number	220
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2014
Issue number	1
DOIs	https://doi.org/10.1186/1687-1812-2014-220
Publication status	Published - 18 Dec 2014
Externally published	Yes

Keywords

Banach G-contraction
connected graph
integral type contraction
modular space

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/1687-1812-2014-220

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abstract = "Jachymski (Proc. Am. Math. Soc. 136:1359-1373, 2008) gave a modified version of a Banach fixed point theorem on a metric space endowed with a graph. The aim of this paper is to present fixed point results of mappings satisfying integral type contractive conditions in the framework of modular spaces endowed with a graph. Some examples are presented to support the results proved herein. Our results generalize and extend various comparable results in the existing literature. MSC:47H10, 54H25, 54E50.",

keywords = "Banach G-contraction, connected graph, integral type contraction, modular space",

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AU - Öztürk, Mahpeyker

AU - Abbas, Mujahid

AU - Girgin, Ekber

PY - 2014/12/18

Y1 - 2014/12/18

N2 - Jachymski (Proc. Am. Math. Soc. 136:1359-1373, 2008) gave a modified version of a Banach fixed point theorem on a metric space endowed with a graph. The aim of this paper is to present fixed point results of mappings satisfying integral type contractive conditions in the framework of modular spaces endowed with a graph. Some examples are presented to support the results proved herein. Our results generalize and extend various comparable results in the existing literature. MSC:47H10, 54H25, 54E50.

AB - Jachymski (Proc. Am. Math. Soc. 136:1359-1373, 2008) gave a modified version of a Banach fixed point theorem on a metric space endowed with a graph. The aim of this paper is to present fixed point results of mappings satisfying integral type contractive conditions in the framework of modular spaces endowed with a graph. Some examples are presented to support the results proved herein. Our results generalize and extend various comparable results in the existing literature. MSC:47H10, 54H25, 54E50.

KW - Banach G-contraction

KW - connected graph

KW - integral type contraction

KW - modular space

UR - https://www.scopus.com/pages/publications/84935914469

U2 - 10.1186/1687-1812-2014-220

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JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

M1 - 220

ER -

Fixed points of mappings satisfying contractive condition of integral type in modular spaces endowed with a graph

Abstract

Keywords

ASJC Scopus subject areas

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