The Existence of Fixed Point Theorems via w-Distance and α-Admissible Mappings and Applications

Joint Authors

Kutbi, Marwan Amin
Sintunavarat, Wutiphol

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-10-29

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We introduce the concept of the generalized wα-contraction mappings and establish the existence of fixed point theorem for such mappings by using the properties of w-distance and α-admissible mappings.

We also apply our result to coincidence point and common fixed point theorems in metric spaces.

Further, the fixed point theorems endowed with an arbitrary binary relation are also derived from our results.

Our results generalize the result of Kutbi, 2013, and several results in the literature.

American Psychological Association (APA)

Kutbi, Marwan Amin& Sintunavarat, Wutiphol. 2013. The Existence of Fixed Point Theorems via w-Distance and α-Admissible Mappings and Applications. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-451121

Modern Language Association (MLA)

Kutbi, Marwan Amin& Sintunavarat, Wutiphol. The Existence of Fixed Point Theorems via w-Distance and α-Admissible Mappings and Applications. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-451121

American Medical Association (AMA)

Kutbi, Marwan Amin& Sintunavarat, Wutiphol. The Existence of Fixed Point Theorems via w-Distance and α-Admissible Mappings and Applications. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-451121

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-451121