0000000001080652

AUTHOR

Marwan Amin Kutbi

showing 2 related works from this author

Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces

2013

We introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of diverse contractive conditions. In addition, our investigations are well supported by nontrivial examples.

Discrete mathematicscoupled fixed pointArticle SubjectApplied MathematicsInjective metric spacelcsh:Mathematicscommon coupled fixed pointlcsh:QA1-939Convex metric spaceIntrinsic metricMetric spaceSettore MAT/05 - Analisi MatematicaFixed-point iterationcomplex-valued metric spaceMetric (mathematics)Contraction mappingFisher information metricMathematicsJournal of Applied Mathematics
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Further generalization of fixed point theorems in Menger PM-spaces

2015

In this work, we establish some fixed point theorems by revisiting the notion of ψ-contractive mapping in Menger PM-spaces. One of our results (namely, Theorem 2.3) may be viewed as a possible answer to the problem of existence of a fixed point for generalized type contractive mappings in M-complete Menger PM-spaces under arbitrary t-norm. Some examples are furnished to demonstrate the validity of the obtained results.

Discrete mathematicsGeneralizationApplied MathematicsFixed-point theoremType (model theory)Fixed pointMenger PM-spaceFixed-point propertyMenger's theoremfixed pointψ-contractive mappingDifferential geometrySettore MAT/05 - Analisi MatematicaGeometry and TopologyCoincidence pointMathematicsFixed Point Theory and Applications
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