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Best approximation in b-modular spaces


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



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


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.


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