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Dive into the research topics where K. P. R. Rao is active.

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Featured researches published by K. P. R. Rao.


International Journal of Mathematics and Mathematical Sciences | 2005

On the concepts of balls in a D-metric space

Sakuru V. R. Naidu; K. P. R. Rao; N. Srinivasa Rao

The various concepts of open balls in D-metric spaces are studied in the case of certain D-metric spaces and many results in the literature on such balls are shown to be false.


International Journal of Mathematics and Mathematical Sciences | 2005

On convergent sequences and fixed point theorems in D-metric spaces

Sakuru V. R. Naidu; K. P. R. Rao; N. Srinivasa Rao

Examples of complete D-metric spaces are given in which every convergent sequence has at most two limits and in which there are convergent sequences with exactly two limits. Also an example of a complete D-metric space having a convergent sequence with infinitely many limits is given and, using the example, several fixed point theorems in D-metric spaces are shown to be false. Modifications of some of these theorems and their generalizations are obtained either by imposing restrictions on the number of limits of certain convergent sequences in the space or by assuming the sequential continuity of the D-metric in any two variables and the theorems so obtained are illustrated by means of examples.


International Journal of Mathematics and Mathematical Sciences | 2004

ON THE TOPOLOGY OF D-METRIC SPACES AND GENERATION OF D-METRIC SPACES FROM METRIC SPACES

Sakuru V. R. Naidu; K. P. R. Rao; N. Srinivasa Rao

An example of a D-metric space is given, in which D-metric convergence does not define a topology and in which a convergent sequence can have infinitely many limits. Certain methods for constructing D-metric spaces from a given metric space are developed and are used in constructing (1) an example of a D-metric space in which D-metric convergence defines a topology which is T1 but not Hausdorff, and (2) an example of a D-metric space in which D-metric convergence defines a metrizable topology but the D-metric is not continuous even in a single variable.


International Journal of Mathematics and Mathematical Sciences | 1993

COMMON STATIONARY POINTS FOR SET-VALUED MAPPINGS

M. S. Kahn; K. P. R. Rao; Y. J. Cho

Several theorems on stationary points for set-valued mappings have obtained. These are improvements upon some earlier results due to Fisher.


Hacettepe Journal of Mathematics and Statistics | 2014

COMMON FIXED AND COINCIDENCE POINT THEOREMS FOR MAPS IN MENGER SPACE WITH HADZIC TYPE t - NORM

K.Bhanu Lakshmi; K. P. R. Rao

In this paper, we obtain a unique common fixed point theorem for two weakly compatible mappings in a Menger space and also obtain a common coincidence point theorem for two hybrid pairs of mappings.


Journal of Advanced Studies in Topology | 2012

Fixed and Related Fixed Point Theorems for Three Maps in \(G\)-Metric Spaces

K. P. R. Rao; k Bhanu Lakshmi; Zead Mustafa; V.c.c. Raju


Hacettepe Journal of Mathematics and Statistics | 2007

A RELATED FIXED POINT THEOREM ON THREE METRIC SPACES

Brian Fisher; K. P. R. Rao


Journal of Advanced Studies in Topology | 2011

Some Fixed Point Theorems in \(D^{*}\)-Cone Metric Spaces

M. S. Khan; K. P. R. Rao; K. R. K. Rao


Journal of Mathematics and Computer Science | 2012

A Unique Common Fixed Point Theorem For Three Mappings In G Cone Metric Spaces

K. P. R. Rao; K. Bhanu Lakshmi; V.c.c. Raju


Journal of Advanced Studies in Topology | 2012

A Unique Common Fixed Point Theorem for Four Maps With Asymptotic Regularity Condition in Cone Metric Spaces

K. P. R. Rao; G. N. V. Kishore; N. Srinivasa Rao

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V.c.c. Raju

University of Botswana

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K. R. K. Rao

Acharya Nagarjuna University

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M. S. Khan

Sultan Qaboos University

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Brian Fisher

University of Leicester

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