New Fixed Point Results of Generalized g-Quasi-Contractions in Cone b-Metric Spaces Over Banach Algebras |
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| Authors: | Shaoyuan Xu Suyu Cheng Suzana Aleksi Yongjie Piao |
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| Institution: | 1. School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041,China;2. Library, Hanshan Normal University, Chaozhou 521041, China;3. Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Radoja Domanovi(c)a 12, 34000 Kragujevac, Serbia;4. Department of Mathematics, College of Science, Yanbian University, Yanji 1330022, Jilin, China |
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| Abstract: | In this paper,we introduce the concept of generalized g-quasi-contractions in the setting of cone b-metric spaces over Banach algebras.By omitting the assumption of normality we establish common fixed point theorems for the generalized gquasi-contractions with the spectral radius r(λ) of the g-quasi-contractive constant vector λ satisfying r(λ) ∈ 0,1/s) in the setting of cone b-metric spaces over Banach algebras,where the coefficient s satisfies s ≥ 1.The main results generalize,extend and unify several well-known comparable results in the literature. |
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| Keywords: | Cone b-metric spaces over Banach algebras non-normal cones c-sequences generalized g-quasi-contractions fixed point theorems |
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