BOUNDEDNESS AND CONVERGENCE IN METRONLIKE STRUCTURES

  • RAVINDRA KUMAR SONWANE
    Government JST PG College Department of Mathematics Balaghat (M.P.)-481001, India
    dr.rk.sonwane@gmail.com
  • RAM PRASAD
    Dr H. S. Gour Vishwavidyalaya Department of Mathematics and Statistics Sagar (M.P.)- 470003, India
    rprasad.sgo@gmail.com
  • SAMAJH SINGH THAKUR
    Jabalpur Engineering College Department of Applied Mathematics Jabalpur(M.,P.)-482011, India
    samajh_singh@rediffmail.com

Abstract

Based on angle properties, Sonwane and Prasad [19] established a mathematical structure called metron as a generalization of metric space. Recently Sonwane, Prasad and Thakur [20] studied metronlike structures by weakening some properties of Metron. In the present paper we investigate, in the setting of metronlike structures, properties analogous to the boundedness of sets and counterparts to the convergence and Cauchy property of a sequence.

Cuvinte cheie

Metron sur-bounded set co-sur-bounded set ide-bounded set sur-convergent sequence ide-convergent sequence I-sur-convergent sequence.