IJPAM: Volume 113, No. 2 (2017)

Title

FIXED POINT THEOREMS IN $GP$-METRIC
SPACE USING $\alpha$-CONTRACTION

Authors

Savita Rathee$^1$, Kusum Dhingra$^2$
$^{1,2}$Department of Mathematics
Maharshi Dayanand University
Rohtak, Haryana, 124001, INDIA

Abstract

In this paper, we consider $\alpha$-contraction in the context of generalized partial metric space ($GP$-metric space) and give conditions to prove the existence and uniqueness of fixed point for such type of contraction mappings. We provide examples to support our results. In particular, we extend and generalize the results of Bilgili et.al., see [3].

History

Received: August 5, 2016
Revised: December 14, 2016
Published: March 19, 2017

AMS Classification, Key Words

AMS Subject Classification: 46T99, 47H10, 54H25
Key Words and Phrases: fixed point, $GP$-metric space, orbital admissible mapping

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v113i2.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 2
Pages: 189 - 201


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