Some approximate fixed point theorems without continuity of the operator using auxiliary functions
| Autor: | Arslan Hojjat Ansari, T. D. Narang, Sumit Chandok |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
partial generalized convex contraction of order $4$ and rank $4$ Binary relation lcsh:Mathematics Regular polygon Fixed-point theorem Auxiliary function Fixed point lcsh:QA1-939 Graph Metric space $\alpha$-admissible mapping $\varepsilon$-fixed point $\alpha$-complete metric space Mathematics |
| Zdroj: | Mathematica Bohemica, Vol 144, Iss 3, Pp 251-271 (2019) |
| ISSN: | 2464-7136 0862-7959 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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