Existence of Fixed Points for a Class of Contractive Maps in 2-metric Spaces
M. Saha *
Department of Mathematics, University of Burdwan, Burdwan – 713104, West Bengal, India.
Pritha Dan
Department of Mathematics, University Institute of Technology, Burdwan – 713104, West Bengal, India.
*Author to whom correspondence should be addressed.
Abstract
In a setting of 2-metric space we have proved some existence theorems for fixed points of (Φ, Ψ) contractive maps and (Φ, k) contractive maps which are certain generalization of contractive maps existing in the literatures.
Keywords: 2-metric space, (Φ, Ψ) contractive maps, (Φ, k) contractive maps, fixed point.