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Common Fixed Point Theorem in T0 Quasi Metric Space

Abstract

Balaji R Wadkar1, Ramakant Bhardwaj2, Lakshmi Narayan Mishra3* and Basant Singh1

In this paper, we prove fixed point theorems for generalized C-contractive and generalized S-contractive mappings in a bi-complete di-metric space. The relationship between q- spherically complete T0 Ultra-quasi-metric space and bi-complete diametric space is pointed out in proposition 5.1. This work is motivated by Petals and Fvidalis in a T0-ultraquasi- metric space 2000 AMS Subject Classification: 47H17, 74H05, 47H09.