Best approximation in b-modular spaces

Authors

Hiba Adel Jabbar, Al-Mahaj School, Baghdad Directorate of Education Al-Rusafa First, Iraqi Ministry of Education, Baghdad, IraqFollow
Samira Naji Kadhim, Department of Mathematics, College, and Science for Women, University of Baghdad, Baghdad, IraqFollow
Salwa Salman Abed, Department of Mathematics, College of Education for Pure Sciences-Ibn Al-Haitham, University of Baghdad, Baghdad, IraqFollow

Abstract

In this paper, some basic notions and facts in the b-modular space similar to those in the modular spaces as a type of generalization are given. For example, concepts of convergence, best approximate, uniformly convexity etc. And then, two results about relation between semi compactness and approximation are proved which are used to prove a theorem on the existence of best approximation for a semi-compact subset of b-modular space.

Keywords

b-Modular vector spaces, Best approximation, Fixed point, Semi-compactness, Set valued mapping.

Article Type

Article

How to Cite this Article

Jabbar, Hiba Adel; Kadhim, Samira Naji; and Abed, Salwa Salman (2024) "Best approximation in b-modular spaces," Baghdad Science Journal: Vol. 21: Iss. 3, Article 11.
DOI: https://doi.org/10.21123/bsj.2023.8230