K. P. R. Rao
Acharya Nagarjuna University
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Publication
Featured researches published by K. P. R. Rao.
International Journal of Mathematics and Mathematical Sciences | 2005
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
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
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
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
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
K. P. R. Rao; k Bhanu Lakshmi; Zead Mustafa; V.c.c. Raju
Hacettepe Journal of Mathematics and Statistics | 2007
Brian Fisher; K. P. R. Rao
Journal of Advanced Studies in Topology | 2011
M. S. Khan; K. P. R. Rao; K. R. K. Rao
Journal of Mathematics and Computer Science | 2012
K. P. R. Rao; K. Bhanu Lakshmi; V.c.c. Raju
Journal of Advanced Studies in Topology | 2012
K. P. R. Rao; G. N. V. Kishore; N. Srinivasa Rao