Generalized cone b-metric spaces and contraction principles

Reny George; Hossam A. Nabwey; K. P. Reshma; R. Rajagopalan

Generalized cone b-metric spaces and contraction principles

Reny George, Hossam A. Nabwey, K. P. Reshma, R. Rajagopalan

Mathematics

Pt. Ravishankar Shukla University

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

15 Scopus citations

Abstract

The concept of generalized cone b-metric space is introduced as a generalization of cone metric space, cone b-metric space and cone rectangular metric space. An analogue of Banach contraction principle and Kannan’s fixed point theorem is proved in this space. Our result generalizes many known results in fixed point theory.

Original language	English
Pages (from-to)	246-257
Number of pages	12
Journal	Matematicki Vesnik
Volume	67
Issue number	4
State	Published - Dec 2015

Keywords

Cone b-metric space
Cone rectangular metric space
Fixed point

Cite this

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title = "Generalized cone b-metric spaces and contraction principles",

abstract = "The concept of generalized cone b-metric space is introduced as a generalization of cone metric space, cone b-metric space and cone rectangular metric space. An analogue of Banach contraction principle and Kannan{\textquoteright}s fixed point theorem is proved in this space. Our result generalizes many known results in fixed point theory.",

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author = "Reny George and Nabwey, \{Hossam A.\} and Reshma, \{K. P.\} and R. Rajagopalan",

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AU - George, Reny

AU - Nabwey, Hossam A.

AU - Reshma, K. P.

AU - Rajagopalan, R.

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Y1 - 2015/12

N2 - The concept of generalized cone b-metric space is introduced as a generalization of cone metric space, cone b-metric space and cone rectangular metric space. An analogue of Banach contraction principle and Kannan’s fixed point theorem is proved in this space. Our result generalizes many known results in fixed point theory.

AB - The concept of generalized cone b-metric space is introduced as a generalization of cone metric space, cone b-metric space and cone rectangular metric space. An analogue of Banach contraction principle and Kannan’s fixed point theorem is proved in this space. Our result generalizes many known results in fixed point theory.

KW - Cone b-metric space

KW - Cone rectangular metric space

KW - Fixed point

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M3 - Article

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VL - 67

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EP - 257

JO - Matematicki Vesnik

JF - Matematicki Vesnik

IS - 4

ER -

Generalized cone b-metric spaces and contraction principles

Abstract

Keywords

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