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Finding a Solution to an Optimization Problem and an Application.
- Source :
-
Journal of Optimization Theory & Applications . Jul2022, Vol. 194 Issue 1, p121-141. 21p. - Publication Year :
- 2022
-
Abstract
- In this paper, we obtain some best proximity point results on 0-complete partial metric spaces by introducing a new concept of mixed multivalued contraction mapping. Thus, we generalize and extend some important and famous results existing in the literature. To support our results, we present a noteworthy illustrative and comparative example. Finally, we give some applications of our new best proximity point theorems to homotopy theory as directly unlike homotopy applications existing in the literature. Hence, we prove some best proximity point results for homotopic mappings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 194
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 157184481
- Full Text :
- https://doi.org/10.1007/s10957-022-02011-4