| Title:
|
Some approximate fixed point theorems without continuity of the operator using auxiliary functions (English) |
| Author:
|
Chandok, Sumit |
| Author:
|
Ansari, Arslan Hojjat |
| Author:
|
Narang, Tulsi Dass |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
144 |
| Issue:
|
3 |
| Year:
|
2019 |
| Pages:
|
251-271 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce partial generalized convex contractions of order $4$ and rank $4$ using some auxiliary functions. We present some results on approximate fixed points and fixed points for such class of mappings having no continuity condition in $\alpha $-complete metric spaces and $\mu $-complete metric spaces. Also, as an application, some fixed point results in a metric space endowed with a binary relation and some approximate fixed point results in a metric space endowed with a graph have been obtained. Some examples are also provided to illustrate the main results and to show the usability of the given hypotheses. (English) |
| Keyword:
|
$\varepsilon $-fixed point |
| Keyword:
|
$\alpha $-admissible mapping |
| Keyword:
|
partial generalized convex contraction of order $4$ and rank $4$ |
| Keyword:
|
$\alpha $-complete metric space |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 07088850 |
| idMR:
|
MR3985856 |
| DOI:
|
10.21136/MB.2018.0095-17 |
| . |
| Date available:
|
2019-07-24T11:10:57Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147773 |
| . |
| Reference:
|
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| Reference:
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