Currently displaying 1 – 14 of 14

Showing per page

Order by Relevance | Title | Year of publication

A fixed point theorem for nonexpansive compact self-mapping

T. D. Narang — 2014

Annales UMCS, Mathematica

A mapping T from a topological space X to a topological space Y is said to be compact if T(X) is contained in a compact subset of Y . The aim of this paper is to prove the existence of fixed points of a nonexpansive compact self-mapping defined on a closed subset having a contractive jointly continuous family when the underlying space is a metric space. The proved result generalizes and extends several known results on the subject

A fixed point theoremfor nonexpansive compact self-mapping

T. D. Narang — 2014

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

A mapping T from a topological space X to a topological space Y is said to be compact if T(X) is contained in a compact subset of Y . The aim of this paper is to prove the existence of fixed points of a nonexpansive compact self-mapping defined on a closed subset having a contractive jointly continuous family when the underlying space is a metric space. The proved result generalizes and extends several known results on the subject.

On strong proximinality in normed linear spaces

Sahil GuptaT. D. Narang — 2016

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

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 are all equivalent for closed convex sets. How strong proximinality can be transmitted to and from quotient spaces has also been discussed.

Some Fixed Point Theorems for Kannan Mappings

Tejpal, ShavetambryNarang, T. D. — 2010

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25. Some results on the existence and uniqueness of fixed points for Kannan mappings on admissible subsets of bounded metric spaces and on bounded closed convex subsets of complete convex metric spaces having uniform normal structure are proved in this paper. These results extend and generalize some results of Ismat Beg and Akbar Azam [Ind. J. Pure Appl. Math. 18 (1987), 594-596], A. A. Gillespie and B. B. Williams...

Page 1

Download Results (CSV)