A study of some new multivalued fixed point results in a modular like metric space with graph. (English) Zbl 1492.54025
Summary: The purpose of this paper is to setup some new fixed point results for multivalued mappings. We prove fixed point results for multivalued mappings under \(\alpha_\ast\)-\(\psi\) Ćirić-type rational contraction in complete modular like metric space. Some new results for graphic contractions for pair of multi graph dominated mappings are proved. Our results extend several comparable results in the existing literature.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54C60 | Set-valued maps in general topology |
| 54E40 | Special maps on metric spaces |
Keywords:
fixed point; \(\alpha_\ast\)-\(\psi \cdot \alpha_\ast\)-dominated multivalued; graphic contractionsReferences:
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