METRICS, D*-METRICS AND A FIXED POINT THEOREM

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Published: Jul 13, 2014

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Ramabhadra Sarma Ivatury
Rtd. Professor of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur, Andhra Pradesh.
Madhusudana Rao Jampala
Director, Research and Academics, Vijaya Engineering College, Wrya Raod, Khammam, Andhra Pradesh
sambasiva Rao siginam
SVS Group of Institutions, School of Engineering, Bheemaram, Warangal, Andhra Pradesh, India.

Abstract

The purpose of this note is to show that (a) the concepts of metric
and D-metric are topologically identical, and (b) propose a slight generalization of a fixed point theorem in a metric space and exploit (a) above to derive an improved version of a known fixed point theorem in D*-metric spaces.

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How to Cite
Ivatury, R. S., Jampala, M. R., & siginam, sambasiva R. (2014). METRICS, D*-METRICS AND A FIXED POINT THEOREM. Journal of Global Research in Mathematical Archives(JGRMA), 2(1), 34–37. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/151
Issue
Vol. 2 No. 1 (2014): January-2014
Section
Research Paper

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Author Biographies

Ramabhadra Sarma Ivatury, Rtd. Professor of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur, Andhra Pradesh.

Rtd. Professor of Mathematics,
Acharya Nagarjuna University,
Nagarjuna Nagar,
Guntur,
Andhra Pradesh.

Madhusudana Rao Jampala, Director, Research and Academics, Vijaya Engineering College, Wrya Raod, Khammam, Andhra Pradesh

Director,
Research and Academics,
Vijaya Engineering College,
Wrya Raod,
Khammam, Andhra Pradesh,

India.

 

sambasiva Rao siginam, SVS Group of Institutions, School of Engineering, Bheemaram, Warangal, Andhra Pradesh, India.

Assistant Professor,

Department of Humanities and Basic Sciences,

SVS Group of Institutions,

School of Engineering,

Warangal.

References

M. S. Khan and M. Imdad, A Common Fixed Point Theorem for a Class of Mappings, Indian. J. Pure and Appl. Math, 14(10) (1983), 1220 - 1227.

S. Sessa, On a Weak Commutativity Condition in Fixed Point Considerations, Publ. Inst. Math., 32(46) (1982),149-153.

Shaban Sedghi, Nabi Shobe and Haiyun Zhou, A Common Fixed Point in D-Metric Spaces, Hindawi Publishing Corporation, Fixed point theory and applications, Article ID 27906

(2007).

Shaban Sedghi, Nabi Shobe and Shahram Sedghi, Common Fixed Point Theorems for two mappings in D-Metric spaces, Journal of Prime Research in Mathematics, Vol 4(2008),132-