An improvement of fixed point theorems for quasi-contractive mappings on non-normal cone metric spaces with Banach algebras
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An improvement of fixed point theorems for quasi-contractive mappings on non-normal cone metric spaces with Banach algebras
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 57, Issue 1, Pages: 63-68(2018)
作者机构:
延边大学理学院数学系,吉林 延吉,133002
作者简介:
基金信息:
DOI:
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Published:2018,
Published Online:25 January 2018,
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PIAO Yongjie. An improvement of fixed point theorems for quasi-contractive mappings on non-normal cone metric spaces with Banach algebras. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(1):63-68(2018)
DOI:
PIAO Yongjie. An improvement of fixed point theorems for quasi-contractive mappings on non-normal cone metric spaces with Banach algebras. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(1):63-68(2018)DOI:
An improvement of fixed point theorems for quasi-contractive mappings on non-normal cone metric spaces with Banach algebras
A new quasi-contractive condition is studied. It is proven that the self-mappings satisfying the new contractive condition has a unique fixed point on non-normal cone metric spaces with Banach algebras. Furthermore
a unique fixed theorem under the more general quasi-contractive condition is given. The obtained result generalizes and improves some well-known fixed point theorems for quasi-contractive mappings.
关键词
具有Banach代数的锥度量空间不动点拟收缩推广的拟收缩c-序列
Keywords
cone metric space with Banach algebrasfixed pointquasi-contractiongeneralized quasi-contractionc-sequence