Title of article :
On some open problems in cone metric space over Banach algebra
Author/Authors :
Ahmed, A. Department of Humanities and Basics Sciences - School of Engineering - Matoshri Pratishthan Group of Institutions, Nanded, India. , Mitrovic, Z. D. Faculty of Electrical Engineering - University of Banja Luka , Salunke, J. N. School of Mathematical Sciences - Swami Ramanandh Teerth Marathwada University, Nanded, India.
Abstract :
In this paper we prove an analogue of Banach and Kannan xed point theorems
by generalizing the Lipschitz constat k, in generalized Lipschitz mapping on cone metric
space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, Fixed point theorems in cone metric spaces with Banach algebra cones, Int. J. of Math. Sci. and Engg. Appl. (6) (2012), 129-136]
Keywords :
Cone metric space over Banach algebra , xed points , Lipschitz mapping , c-sequence
Journal title :
Astroparticle Physics
