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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
ATNAA
2020-08-01
|
| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1261163 |
| _version_ | 1797912876487278592 |
|---|---|
| author | Sirous Moradi |
| author_facet | Sirous Moradi |
| author_sort | Sirous Moradi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T12:02:50Z |
| format | Article |
| id | doaj.art-c0492a545b754003b37406113141499e |
| institution | Directory Open Access Journal |
| issn | 2587-2648 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T12:02:50Z |
| publishDate | 2020-08-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-c0492a545b754003b37406113141499e2023-02-15T16:16:28ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482020-08-014316717510.31197/atnaa.773720New Fixed Point Theorem for generalized T_F -contractive Mappings and its Application for Solving Some PolynomialsSirous MoradiLet (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.https://dergipark.org.tr/tr/download/article-file/1261163fixed pointcontractive mappinggeneralized tf -contractive mappinggraph closed |
| spellingShingle | Sirous Moradi New Fixed Point Theorem for generalized T_F -contractive Mappings and its Application for Solving Some Polynomials Advances in the Theory of Nonlinear Analysis and its Applications fixed point contractive mapping generalized tf -contractive mapping graph closed |
| title | New Fixed Point Theorem for generalized T_F -contractive Mappings and its Application for Solving Some Polynomials |
| title_full | New Fixed Point Theorem for generalized T_F -contractive Mappings and its Application for Solving Some Polynomials |
| title_fullStr | New Fixed Point Theorem for generalized T_F -contractive Mappings and its Application for Solving Some Polynomials |
| title_full_unstemmed | New Fixed Point Theorem for generalized T_F -contractive Mappings and its Application for Solving Some Polynomials |
| title_short | New Fixed Point Theorem for generalized T_F -contractive Mappings and its Application for Solving Some Polynomials |
| title_sort | new fixed point theorem for generalized t f contractive mappings and its application for solving some polynomials |
| topic | fixed point contractive mapping generalized tf -contractive mapping graph closed |
| url | https://dergipark.org.tr/tr/download/article-file/1261163 |
| work_keys_str_mv | AT sirousmoradi newfixedpointtheoremforgeneralizedtfcontractivemappingsanditsapplicationforsolvingsomepolynomials |