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New Fixed Point Results of Generalized g-Quasi-Contractions in Cone b-Metric Spaces Over Banach Algebras 被引量:1
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作者 Shaoyuan Xu Suyu Cheng +1 位作者 suzana aleksic Yongjie Piao 《Analysis in Theory and Applications》 CSCD 2017年第2期118-133,共16页
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 assump- tion of normality we establish common fixed point theore... 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 assump- tion of normality we establish common fixed point theorems for the generalized g- quasi-contractions with the spectral radius r(λ) of the g-quasi-contractive constant vector λ satisfying r(λ) ∈[0,1) in the setting of cone b-metric spaces over Banach al- gebras, where the coefficient s satisfies s ≥ 1. The main results generalize, extend and unify several well-known comparable results in the literature. 展开更多
关键词 Cone b-metric spaces over Banach algebras non-normal cones c-sequences general-ized g-quasi-contractions fixed point theorems.
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