On some open problems in cone metric space over Banach algebra
محورهای موضوعی : Fixed point theory
A. Ahmed
1
,
Z. D. Mitrovic
2
,
J. N. Salunke
3
1 - Department of Humanities and Basics Sciences, School of Engineering, Matoshri Pratishthan Group of Institutions, Nanded, India
2 - University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
3 - School of Mathematical Sciences, Swami Ramanandh Teerth Marathwada University, Nanded, India
کلید واژه: Cone metric space over Banach algebra, fixed points, Lipschitz mapping, c-sequence,
چکیده مقاله :
In this paper we prove an analogue of Banach and Kannan fixed 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].
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