Common Fixed Point Theorems in Non-normal Cone Metric Spaces with Banach Algebras |
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Affiliation: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;2. Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China;3. School of Marxism, Hubei Normal University, Huangshi 435002, China |
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Abstract: | ![]() In this paper, we obtain a class of common fixed point theorems for generalized Lipschitz mappings in cone metric spaces with Banach algebras without the assumption of normality of cones. The results greatly generalize some results in the literature. Moreover, we give an example to support the main assertions. |
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Keywords: | cone metric space with Banach algebra generalized Lispchitz constant weakly compatible |
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