Dipankar Dey, Dhananjay Mandal and Manabendra Nath Mukherjee
The present article deals with the initiation and study of a uniformity like notion, captioned μ-uniformity, in the context of a generalized topological space.
Abstract
Purpose
The present article deals with the initiation and study of a uniformity like notion, captioned μ-uniformity, in the context of a generalized topological space.
Design/methodology/approach
The existence of uniformity for a completely regular topological space is well-known, and the interrelation of this structure with a proximity is also well-studied. Using this idea, a structure on generalized topological space has been developed, to establish the same type of compatibility in the corresponding frameworks.
Findings
It is proved, among other things, that a μ-uniformity on a non-empty set X always induces a generalized topology on X, which is μ-completely regular too. In the last theorem of the paper, the authors develop a relation between μ-proximity and μ-uniformity by showing that every μ-uniformity generates a μ-proximity, both giving the same generalized topology on the underlying set.
Originality/value
It is an original work influenced by the previous works that have been done on generalized topological spaces. A kind of generalization has been done in this article, that has produced an intermediate structure to the already known generalized topological spaces.
Details
Keywords
Avinandan Mukherjee, Prithwiraj Nath and Manabendra Nath Pal
Explores the linkage between performance benchmarking and strategic homogeneity of Indian commercial banks. Devises a method of benchmarking performance of Indian commercial banks…
Abstract
Explores the linkage between performance benchmarking and strategic homogeneity of Indian commercial banks. Devises a method of benchmarking performance of Indian commercial banks using their published financial information. Defines performance by how a bank is able to utilize its resources to generate business transactions and is measured by their ratio, which is then called the efficiency. The concept of efficiency is critical from a marketing perspective. Methodologically, in order to overcome some of the shortcomings of simple efficiencies obtained through self‐appraisal of individual banks, a more “democratic” concept of cross‐efficiency evaluated with the process of peer‐appraisal has been brought in to benchmark the banks. Clusters banks based on similarity in business policy which offers a framework for competitive positioning in the target market and serves as a basis for long‐term strategic focus. Finds that the public sector banks generally outperform the private and foreign banks in this rapidly evolving and liberalizing sector.