Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 898109, 14 pages
doi:10.1155/2010/898109
Coincidence theorems for certain classes of hybrid contractions
S.L. Singh
and S.N. Mishra
Department of Mathematics, School of Mathematical \& Computational Sciences, Walter Sisulu University, Nelson Mandela Drive Mthatha 5117, South Africa
Abstract
Coincidence and fixed point theorems for a new class of hybrid contractions consisting of a pair of single-valued and multivalued maps on an arbitrary nonempty set with values in a metric space are proved. In addition, the existence of a common solution for certain class of functional equations arising in dynamic programming, under much weaker conditions are discussed. The results obtained here in generalize many well known results.