A fixed point theorem for two pairs of compatible mappings on metric space Pande Neeraj Anant, Achari J.* Department of Mathematics & Statistics, Yeshwant Mahavidyalaya, Nanded – 431602, Maharashtra, India * 69-B, Ramanand Nagar, Near Pawdewadi Naka, Nanded – 431605, Maharashtra
2000 Mathematics Subject Classification: 47H10, 54H25 Online published on 22 February, 2013. Abstract Two pairs of compatible metrical mappings are considered which are having the property that ranges of two of them are being covered under those of the compatibility partners of the other. Continuity of any one mappings guarantees the existence of unique common fixed point for all of them, and consequently of all their inter-compositions, under a contraction condition. This work generalizes Fishers result and the very own similar result of authors for commuting mappings. Top Keywords Compatible Mappings, Fixed Point, Complete Metric Space. Top |