Tripled fixed point ofW-compatible mappings in abstract metric spaces

Hassen Aydi; Mujahid Abbas; Wutiphol Sintunavarat; Poom Kumam

doi:10.1186/1687-1812-2012-134

Tripled fixed point ofW-compatible mappings in abstract metric spaces

Hassen Aydi
, Mujahid Abbas
, Wutiphol Sintunavarat
, Poom Kumam

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

47 Citations (Scopus)

Abstract

In this paper, we introduce the concepts of W-compatible mappings for mappings F : X ×X ×X →X and g : X →X, where (X, d) is an abstract metric space. We establish tripled coincidence and common tripled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in literature, in particular the results of Abbas, Ali and Radenović (Appl. Math. Comput. 217:195-202, 2010). We also provide an example to illustrate our obtained results.

Original language	English
Article number	134
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2012
DOIs	https://doi.org/10.1186/1687-1812-2012-134
Publication status	Published - 2012
Externally published	Yes

Keywords

Common tripled fixed point
Cone metric space
Tripled coincidence point
W-compatible mappings

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

Access to Document

10.1186/1687-1812-2012-134

Cite this

@article{3a0b835479884dc595878bca1180994a,

title = "Tripled fixed point ofW-compatible mappings in abstract metric spaces",

abstract = "In this paper, we introduce the concepts of W-compatible mappings for mappings F : X ×X ×X →X and g : X →X, where (X, d) is an abstract metric space. We establish tripled coincidence and common tripled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in literature, in particular the results of Abbas, Ali and Radenovi{\'c} (Appl. Math. Comput. 217:195-202, 2010). We also provide an example to illustrate our obtained results.",

keywords = "Common tripled fixed point, Cone metric space, Tripled coincidence point, W-compatible mappings",

author = "Hassen Aydi and Mujahid Abbas and Wutiphol Sintunavarat and Poom Kumam",

year = "2012",

doi = "10.1186/1687-1812-2012-134",

language = "English",

volume = "2012",

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

issn = "1687-1820",

publisher = "SpringerOpen",

}

TY - JOUR

T1 - Tripled fixed point ofW-compatible mappings in abstract metric spaces

AU - Aydi, Hassen

AU - Abbas, Mujahid

AU - Sintunavarat, Wutiphol

AU - Kumam, Poom

PY - 2012

Y1 - 2012

N2 - In this paper, we introduce the concepts of W-compatible mappings for mappings F : X ×X ×X →X and g : X →X, where (X, d) is an abstract metric space. We establish tripled coincidence and common tripled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in literature, in particular the results of Abbas, Ali and Radenović (Appl. Math. Comput. 217:195-202, 2010). We also provide an example to illustrate our obtained results.

AB - In this paper, we introduce the concepts of W-compatible mappings for mappings F : X ×X ×X →X and g : X →X, where (X, d) is an abstract metric space. We establish tripled coincidence and common tripled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in literature, in particular the results of Abbas, Ali and Radenović (Appl. Math. Comput. 217:195-202, 2010). We also provide an example to illustrate our obtained results.

KW - Common tripled fixed point

KW - Cone metric space

KW - Tripled coincidence point

KW - W-compatible mappings

UR - https://www.scopus.com/pages/publications/84873050148

U2 - 10.1186/1687-1812-2012-134

DO - 10.1186/1687-1812-2012-134

M3 - Article

AN - SCOPUS:84873050148

SN - 1687-1820

VL - 2012

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

M1 - 134

ER -

Tripled fixed point ofW-compatible mappings in abstract metric spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this