Fixed point theorems of weakly monotone Prešić type mappings in ordered cone metric spaces

Mohammad Saeed Khan; Satish Shukla; Shin Min Kang

doi:10.4134/BKMS.2015.52.3.881

Fixed point theorems of weakly monotone Prešić type mappings in ordered cone metric spaces

Mohammad Saeed Khan, Satish Shukla, Shin Min Kang

Mathematics & Statistics

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

1 Citation (Scopus)

Abstract

In this paper, we introduce the weakly monotone Prešić type mappings in product spaces when the underlying space is an ordered cone metric space. Some fixed point results for such mappings are also proved which generalize and unify several known results in metric and cone metric spaces with normal cone. The results are supported by examples.

Original language	English
Pages (from-to)	881-893
Number of pages	13
Journal	Bulletin of the Korean Mathematical Society
Volume	52
Issue number	3
DOIs	https://doi.org/10.4134/BKMS.2015.52.3.881
Publication status	Published - 2015

Keywords

Fixed point
Ordered cone metric space
Presic type mapping
Weakly monotone Prešić type mapping

ASJC Scopus subject areas

Mathematics(all)

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10.4134/BKMS.2015.52.3.881

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title = "Fixed point theorems of weakly monotone Pre{\v s}i{\'c} type mappings in ordered cone metric spaces",

abstract = "In this paper, we introduce the weakly monotone Pre{\v s}i{\'c} type mappings in product spaces when the underlying space is an ordered cone metric space. Some fixed point results for such mappings are also proved which generalize and unify several known results in metric and cone metric spaces with normal cone. The results are supported by examples.",

keywords = "Fixed point, Ordered cone metric space, Presic type mapping, Weakly monotone Pre{\v s}i{\'c} type mapping",

author = "Khan, {Mohammad Saeed} and Satish Shukla and Kang, {Shin Min}",

note = "Publisher Copyright: {\textcopyright} 2015 Korean Mathematical Society.",

year = "2015",

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language = "English",

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AU - Shukla, Satish

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N2 - In this paper, we introduce the weakly monotone Prešić type mappings in product spaces when the underlying space is an ordered cone metric space. Some fixed point results for such mappings are also proved which generalize and unify several known results in metric and cone metric spaces with normal cone. The results are supported by examples.

AB - In this paper, we introduce the weakly monotone Prešić type mappings in product spaces when the underlying space is an ordered cone metric space. Some fixed point results for such mappings are also proved which generalize and unify several known results in metric and cone metric spaces with normal cone. The results are supported by examples.

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KW - Ordered cone metric space

KW - Presic type mapping

KW - Weakly monotone Prešić type mapping

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Fixed point theorems of weakly monotone Prešić type mappings in ordered cone metric spaces

Abstract

Keywords

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