BOUNDEDNESS AND CONVERGENCE IN METRONLIKE STRUCTURES
RAVINDRA KUMAR SONWANE(1), RAM PRASAD(2) and SAMAJH SINGH THAKUR(3)
1. Government JST PG College Department of Mathematics Balaghat (M.P.)-481001, India e-mail: dr.rk.sonwane@gmail.com 2. Dr H. S. Gour Vishwavidyalaya Department of Mathematics and Statistics Sagar (M.P.)- 470003, India e-mail: rprasad.sgo@gmail.com 3. Jabalpur Engineering College Department of Applied Mathematics Jabalpur(M.,P.)-482011, India e-mail: 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.