6533b823fe1ef96bd127edff
RESEARCH PRODUCT
Fixed Points for Multivalued Weighted Mean Contractions in a Symmetric Generalized Metric Space
Amelia Bucursubject
Pure mathematicsPhysics and Astronomy (miscellaneous)multivalued left-weighted mean contractionGeneral Mathematicslcsh:Mathematicsfixed points010102 general mathematicsFunction (mathematics)Fixed pointlcsh:QA1-93901 natural sciences010101 applied mathematicsMetric spaceChemistry (miscellaneous)Computer Science (miscellaneous)In real lifeOrder (group theory)0101 mathematicsEquilibrium solutionWeighted arithmetic meanmultivalued right-weighted mean contractionregular-global-inf functionMathematicsdescription
This paper defines two new concepts: the concept of multivalued left-weighted mean contractions in the generalized sense of Nadler in a symmetric generalized metric space and the concept of multivalued right-weighted mean contractions in the generalized sense of Nadler in a symmetric generalized metric space, and demonstrates fixed-point theorems for them. For these, we demonstrated two fixed-point existence theorems and their corollaries, by using the properties of the regular-global-inf function and the properties of symmetric generalized metric spaces, respectively. Moreover, we demonstrated that the theorems can be applied in particular cases of inclusion systems. This article contains not only an example of application in science, but also an example of application in real life, in biology, in order to find an equilibrium solution to a prey&ndash
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-01-09 | Symmetry |