S. L. SINGH and ASHISH KUMAR

Coincidences and fixed points of strictly contractive and Lipschitz maps

Pages 1-16
Received: 20 April 2005    Revised: 3 December 2007
Mathematics Subject Classification (2000): 54H25 - 47H10

Abstract The first section of this paper obtains coincidence and fixed point theorems for strictly contractive type maps on metric spaces. The second section is devoted to the study of existence of common fixed points of maps satisfying strictly Lipschitz type conditions. The main tool is the (EA)-property for a pair of maps on an arbitrary set with values in a metric space. This helps us to avoid the continuity of maps and completeness or compactness of the space.