Ordered weak φ-contractions in cone metric spaces over Banach algebras and fixed point theorems
In this work, we introduce the class of ordered weak ϕ-contractions in cone metric spaces over Banach algebras and prove some fixed point results for the mappings belonging to this new class. Our results generalize and extend some known fixed point results in cone metric spaces to the spaces equip...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
ATNAA
2019-06-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/746068 |
| Summary: | In this work, we introduce the class of ordered weak ϕ-contractions in cone metric spaces over Banach algebras
and prove some fixed point results for the mappings belonging to this new class. Our results generalize and
extend some known fixed point results in cone metric spaces to the spaces equipped with a partial order.
Some examples are given which illustrate the results proved herein. |
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| ISSN: | 2587-2648 2587-2648 |