S. L. SINGH and ASHISH KUMAR

Fixed point theorems for Lipschitz type maps

Pages 25-34
Received: 1 September 2003   
Revised: 15 March 2004
Mathematics Subject Classification (2000): 54H25 - 47H10

Abstract: The aim of this paper is to obtain common fixed point theorems for generalized Lipschitz pair of non-compatible maps without using the continuity of the maps involved and completeness of the metric space. Coincidence theorems for generalized Lipschitz type quadruplet of maps on an arbitrary set with values in a metric space are also obtained. The remarkable aspect of such maps is that they need not be continuous at their common fixed points.