Fixed Points for Quasi Contraction Maps on Complete Metric Spaces


A. Choudhury - Department of Mathematics and Statistics Ha ong Govt. College, Ha ong-788819, Dima Hasao, Assam, India. T. Som - Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi -221005, India.


The present paper deals with unique fixed point results for quasi contraction mappings on a metric space satisfying some generalized inequality conditions in first section and unique common fixed point result for asymptotically regular mappings of certain type and satisfying a generalized contraction condition in another section. The results obtained generalize the earlier results of Fisher (1979), Hardy and Roger (1973) and others in turn.