New Fixed Point Theorem for generalized T_F -contractive Mappings and its Application for Solving Some Polynomials
Let (X, d) be a complete metric space. In this paper, we study some new fixed point theorems for generalized TF -contractive mapping defined on complete metric spaces by using graph closed concept and we proved the existence and uniqueness of a fixed point. These conditions are analogous to Ćirić...
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| Format: | Article |
| Language: | English |
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ATNAA
2020-08-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1261163 |
| Summary: | Let (X, d) be a complete metric space. In this paper, we study some new fixed point theorems for generalized
TF -contractive mapping defined on complete metric spaces by using graph closed concept and we proved the
existence and uniqueness of a fixed point. These conditions are analogous to Ćirić conditions. In this paper,
we compare the two concepts of graph closed and sequentially convergent, and we show that the concept of
sequentially convergent is a special case of the concept of graph closed. Also, we provide an counterexample
for Dubey et. al. and provide an example in support of our main results. Finally, by using our main results,
we present an application to solving some polynomials. Our results, extend several results on the topic in
the corresponding literature. |
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| ISSN: | 2587-2648 2587-2648 |