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Zbl 1189.65119
Radenović, Stojan
Common fixed points under contractive conditions in cone metric spaces. (English)
[J] Comput. Math. Appl. 58, No. 6, 1273-1278 (2009). ISSN 0898-1221

Summary: The aim of this paper is to present coincidence point result for two mappings in cone metric space which satisfy new contractive conditions. Our results generalize fixed point theorems of {\it G. Jungck} [Am. Math. Mon. 83, 261--263 (1976; Zbl 0321.54025)], {\it M. Abbas} and {\it G. Jungck} [J. Math. Anal. Appl. 341, No. 1, 416--420 (2008; Zbl 1147.54022)] and {\it B. Fisher} [J. Univ. Kuwait, Sci. 8, 131--138 (1981; Zbl 0472.54030)] in cone metric spaces to symmetric spaces.

MSC 2000:: *65J15 Equations with nonlinear operators (numerical methods)
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: common fixed point; cone metric space; normal and non-normal cone; coincidence point; symmetric space

Citations: Zbl 0321.54025; Zbl 1147.54022; Zbl 0472.54030

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