θ -Metric Space: A Generalization

Joint Authors

Radenović, Stojan
Khojasteh, Farshid
Karapinar, Erdal

Source

Mathematical Problems in Engineering

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-08-27

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Civil Engineering

Abstract EN

We introduce the notion of θ-metric as a generalization of a metric by replacing the triangle inequality with a more generalized inequality.

We investigate the topology of the spaces induced by a θ-metric and present some essential properties of it.

Further, we give characterization of well-known fixed point theorems, such as the Banach and Caristi types in the context of such spaces.

American Psychological Association (APA)

Khojasteh, Farshid& Karapinar, Erdal& Radenović, Stojan. 2013. θ -Metric Space: A Generalization. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1009620

Modern Language Association (MLA)

Khojasteh, Farshid…[et al.]. θ -Metric Space: A Generalization. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1009620

American Medical Association (AMA)

Khojasteh, Farshid& Karapinar, Erdal& Radenović, Stojan. θ -Metric Space: A Generalization. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1009620

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1009620