Fixed point results for cyclic
-contraction in partial metric spaces
1 Department of Mathematics, Hashemite University, P.O. Box 150459, Zarqa, 13115, Jordan
2 School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India
Fixed Point Theory and Applications 2012, 2012:165 doi:10.1186/1687-1812-2012-165Published: 28 September 2012
Very recently, Agarwal et al. (Fixed Point Theory Appl. 2012:40, 2012) initiated the study of fixed point theorems for mappings satisfying cyclical generalized contractive conditions in complete partial metric spaces. In the present paper, we study some fixed point theorems for a mapping satisfying a cyclical generalized contractive condition based on a pair of altering distance functions in complete partial metric spaces. Also, we introduce an example and an application to support the usability of our paper.
MSC: 54H25, 47H10.