Title of article :
A GENERALIZATION OF BANACH CONTRACTION PRINCIPLE IN ORDERED CONE METRIC SPACES
Author/Authors :
MALHOTRA ، S. K. - Govt. S.G.S.P.G. College , SHUKLA ، S. - Shri Vaishnav Institute of Technology Science , SEN ، R. - Shri Vaishnav Institute of Technology Science
Abstract :
In this paper we prove fixed point theorems for ordered ´Ciric-Presic type contraction in cone metric spaces without assuming the normality of cone. These results generalize and extend the Banach contraction principle and several known results in ordered cone metric spaces. Some examples are presented to illustrate the cases when new results can be applied while old one can not.
Keywords :
Cone metric space , partial order , fixed point
Journal title :
Journal of Advanced Mathematical Studies
Journal title :
Journal of Advanced Mathematical Studies