T. D. Narang
YOU?
Author Swipe
View article: Existence of invariant points and applications to simultaneous approximation
Existence of invariant points and applications to simultaneous approximation Open
For the set of e-simultaneous approximation and e-simultaneous coapproximation, we derive certain Brosowski-Meinardus type invariant point results in this paper. As a consequence, some results on e-approximation, e-coapproximation, best ap…
View article: On Chebyshev centers in metric spaces
On Chebyshev centers in metric spaces Open
A Chebyshev center of a set A in a metric space (X,d) is a point of X best approximating the set A i.e., it is a point x0 ? X such that supy?A d(x0,y) = infx?X supy?A d(x,y). We discuss the existence and uniqueness of such points in metric…
View article: Best Approximation in Metric Spaces
Best Approximation in Metric Spaces Open
The aim of this paper is to prove some results on the existence and uniqueness of elements of best approximation and continuity of the metric projection in metric spaces. For a subset M of a metric space (X; d), the nature of set of those …
View article: Common Best Proximity Points for Cyclic φ-Contraction Maps
Common Best Proximity Points for Cyclic φ-Contraction Maps Open
The purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,T)$ in metric spaces. We give convergence and existence results of best proximity points of such maps in the setting of uniformly convex Ba…
View article: On strong proximinality in normed linear spaces
On strong proximinality in normed linear spaces Open
The paper deals with strong proximinality in normed linear spaces. It is proved that in a compactly locally uniformly rotund Banach space, proximinality, strong proximinality, weak approximative compactness and approximative compactness ar…
View article: Proximinality and co-proximinality in metric linear spaces
Proximinality and co-proximinality in metric linear spaces Open
As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss s…