Common fixed point results of a pair of generalized (Formula presented.) -contraction mappings in modular spaces

Mahpeyker Öztürk; Mujahid Abbas; Ekber Girgin

doi:10.1186/s13663-016-0503-x

Common fixed point results of a pair of generalized (Formula presented.) -contraction mappings in modular spaces

Mahpeyker Öztürk
, Mujahid Abbas
, Ekber Girgin

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

5 Citations (Scopus)

Abstract

In this paper, we establish the existence of a common fixed point of almost generalized contractions on modular spaces. As an application, we present some fixed and common fixed point results for such mappings on modular spaces endowed with a graph. The existence of fixed and common points of mappings satisfying generalized contractive conditions of integral type is also obtained in such spaces. Some examples are presented to support the results obtained herein. Our results generalize and extend various comparable results in the existing literature.

Original language	English
Article number	19
Pages (from-to)	1-19
Number of pages	19
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13663-016-0503-x
Publication status	Published - 1 Dec 2016
Externally published	Yes

Keywords

almost contraction
Banach G-contraction
modular space

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

Access to Document

10.1186/s13663-016-0503-x

Cite this

@article{ebf4a020fab948ad85e06056cfc16144,

title = "Common fixed point results of a pair of generalized (Formula presented.) -contraction mappings in modular spaces",

abstract = "In this paper, we establish the existence of a common fixed point of almost generalized contractions on modular spaces. As an application, we present some fixed and common fixed point results for such mappings on modular spaces endowed with a graph. The existence of fixed and common points of mappings satisfying generalized contractive conditions of integral type is also obtained in such spaces. Some examples are presented to support the results obtained herein. Our results generalize and extend various comparable results in the existing literature.",

keywords = "almost contraction, Banach G-contraction, modular space",

author = "Mahpeyker {\"O}zt{\"u}rk and Mujahid Abbas and Ekber Girgin",

note = "Publisher Copyright: {\textcopyright} 2016, {\"O}zt{\"u}rk et al.",

year = "2016",

month = dec,

day = "1",

doi = "10.1186/s13663-016-0503-x",

language = "English",

volume = "2016",

pages = "1--19",

journal = "Fixed Point Theory and Algorithms for Sciences and Engineering",

issn = "1687-1820",

publisher = "SpringerOpen",

number = "1",

}

TY - JOUR

T1 - Common fixed point results of a pair of generalized (Formula presented.) -contraction mappings in modular spaces

AU - Öztürk, Mahpeyker

AU - Abbas, Mujahid

AU - Girgin, Ekber

PY - 2016/12/1

Y1 - 2016/12/1

N2 - In this paper, we establish the existence of a common fixed point of almost generalized contractions on modular spaces. As an application, we present some fixed and common fixed point results for such mappings on modular spaces endowed with a graph. The existence of fixed and common points of mappings satisfying generalized contractive conditions of integral type is also obtained in such spaces. Some examples are presented to support the results obtained herein. Our results generalize and extend various comparable results in the existing literature.

AB - In this paper, we establish the existence of a common fixed point of almost generalized contractions on modular spaces. As an application, we present some fixed and common fixed point results for such mappings on modular spaces endowed with a graph. The existence of fixed and common points of mappings satisfying generalized contractive conditions of integral type is also obtained in such spaces. Some examples are presented to support the results obtained herein. Our results generalize and extend various comparable results in the existing literature.

KW - almost contraction

KW - Banach G-contraction

KW - modular space

UR - https://www.scopus.com/pages/publications/84958743861

U2 - 10.1186/s13663-016-0503-x

DO - 10.1186/s13663-016-0503-x

M3 - Article

AN - SCOPUS:84958743861

SN - 1687-1820

VL - 2016

SP - 1

EP - 19

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

M1 - 19

ER -

Common fixed point results of a pair of generalized (Formula presented.) -contraction mappings in modular spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this