International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 40, Pages 2519-2539
doi:10.1155/S0161171203212369

On common fixed points of pairs of a single and a multivalued coincidentally commuting mappings in D-metric spaces

B. C. Dhage,1 A. Jennifer Asha,2 and S. M. Kang3

 1Kasubai, Gurukul Colony, Ahmedpur 413515, Maharashtra, India
2Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600005, India
3Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Chinju 660-701, Korea
Received 10 December 2002; Revised 15 February 2003

Abstract

The present paper studies some common fixed-point theorems for pairs of a single-valued and a multivalued coincidentally commuting mappings in D-metric spaces satisfying a certain generalized contraction condition. Our result generalizes more than a dozen known fixed-point theorems in D-metric spaces including those of Dhage (2000) and Rhoades (1996).