A generalization of Banach's contraction principle for some non-obviously contractive operators in a cone metric space
This paper investigates the fixed points for self-maps of a closed set in a space of abstract continuous functions. Our main results essentially extend and generalize some fixed point theorems in cone metric spaces. An application to differential equations is given.
Anahtar Kelimeler:
Cone metric space, fixed point, Ordered Banach space, self-maps of a closed set, iterative sequence
A generalization of Banach's contraction principle for some non-obviously contractive operators in a cone metric space
This paper investigates the fixed points for self-maps of a closed set in a space of abstract continuous functions. Our main results essentially extend and generalize some fixed point theorems in cone metric spaces. An application to differential equations is given.
Keywords:
Cone metric space, fixed point, Ordered Banach space, self-maps of a closed set, iterative sequence,
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- Then, by Theorem 3.1, we know Equation (4.1) has a nontrivial solution. This completes the proof. Remark 4.1 However, when √ +82π π−2 by Theorem 3.2 in [27] (see [27, Example 4.1]). Therefore, our results in this paper extend and improve them in [27].
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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