6533b83afe1ef96bd12a7048
RESEARCH PRODUCT
Fixed point theory in partial metric spaces via φ-fixed point’s concept in metric spaces
Bessem SametMohamed JleliCalogero Vetrosubject
Discrete mathematicsInjective metric spaceApplied Mathematicsmetric spacepartial metric spaceFixed-point theoremFixed pointFixed-point propertyIntrinsic metricConvex metric spaceIsolated pointMetric spacefixed pointSettore MAT/05 - Analisi MatematicaDiscrete Mathematics and Combinatorics$\varphi$-fixed pointAnalysisMathematicsdescription
Abstract Let X be a non-empty set. We say that an element x ∈ X is a φ-fixed point of T, where φ : X → [ 0 , ∞ ) and T : X → X , if x is a fixed point of T and φ ( x ) = 0 . In this paper, we establish some existence results of φ-fixed points for various classes of operators in the case, where X is endowed with a metric d. The obtained results are used to deduce some fixed point theorems in the case where X is endowed with a partial metric p. MSC:54H25, 47H10.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-10-30 | Journal of Inequalities and Applications |