Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2016
  • Volume: 35e
  • Issue: 2

Common Best Proximity Point for Non-Self Mappings in Metric Type Spaces Under Contraction Condition

2Govt. S.N. College, Nagari Distt.-Dhamtari, Chhattishgarh, India, e-mail: amitabh61@yahoo.com

3Govt. J.Y. C.G. College, Raipur, Chhattishgarh, India

*e-mail: vinitadewangan12@gmail.com

2000 Mathematics Subject Classification. 46J10; 47H10; 54H25; 41A65; 90C30

Abstract

Lo'lo’ et al. (Fixed Point Theory App. 2015: 47, 2015) introduced common best proximity points theorem for four mappings in metric type spaces. In this paper, we introduce φ-contraction mappings and show the common best proximity points on such conditions in metric-type spaces.

Keywords

Common fixed point, contractive condition, common best proximity point, non-self mappings, metric-type space