On some open problems in cone metric space over Banach algebra

Journal of Linear and Topological Algebra

مقاله 1، دوره 06، شماره 04، اسفند 2017، صفحه 261-267   

نوع مقاله: Special Issue on Fixed Point Theory

نویسندگان

A. Ahmed^{* 1}؛ Z. D. Mitrovic²؛ J. N. Salunke³

¹Department of Humanities and Basics Sciences, School of Engineering, Matoshri Pratishthan Group of Institutions, Nanded, India

²University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

³School of Mathematical Sciences, Swami Ramanandh Teerth Marathwada University, Nanded, India

چکیده

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].

کلیدواژه‌ها

Cone metric space over Banach algebra؛ fixed points؛ Lipschitz mapping؛ c-sequence

مراجع

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