2016•Bulletin of Pure & Applied Sciences- Mathematics and StatisticsOpen access

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

Vinita Dewangan, Amitabh Banerjee, Pushpa Koushik

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.

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Key concepts: Metric space, Contraction (grammar), Mathematics, Metric map, Type (biology), Metric (unit), Point (geometry), Pure mathematics