0000000000319556

AUTHOR

Reza Saadati

0000-0002-6770-6951

showing 3 related works from this author

Set-valued mappings in partially ordered fuzzy metric spaces

2014

Abstract In this paper, we provide coincidence point and fixed point theorems satisfying an implicit relation, which extends and generalizes the result of Gregori and Sapena, for set-valued mappings in complete partially ordered fuzzy metric spaces. Also we prove a fixed point theorem for set-valued mappings on complete partially ordered fuzzy metric spaces which generalizes results of Mihet and Tirado. MSC:54E40, 54E35, 54H25.

Discrete mathematicspartially ordered setApplied MathematicsInjective metric spaceset-valued mappingT-normFixed-point propertyConvex metric spaceLeast fixed pointcoincidence pointfixed pointSettore MAT/05 - Analisi MatematicaDiscrete Mathematics and CombinatoricsDomain theoryfuzzy metric spaceFilter (mathematics)Coincidence pointAnalysisMathematics
researchProduct

Common fixed points in cone metric spaces for CJM-pairs

2011

Abstract In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f - M K -pair mappings and f - C J M -pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfies a contractive condition of Meir–Keeler type. These results extend and generalize some recent results from the literature. To conclude the paper, we extend our main result to non-regular cone metric spaces by using the scalarization method of Du.

Cone metric spaces CJM-pairs Common fixed points Common coincidence points.Injective metric spaceMathematical analysisMathematics::General TopologyFixed pointComputer Science ApplicationsIntrinsic metricConvex metric spaceCombinatoricsMetric spaceCone (topology)Settore MAT/05 - Analisi MatematicaModeling and SimulationUniquenessCoincidence pointMathematicsMathematical and Computer Modelling
researchProduct

Fixed point theorems in generalized partially orderedG-metric spaces

2010

In this paper, we consider the concept of a $\Omega$-distance on a complete partially ordered G-metric space and prove some fixed point theorems.

Least fixed pointCombinatoricsPure mathematicsMetric spaceSettore MAT/05 - Analisi MatematicaModeling and SimulationFixed point theorem G-metric spaces $\Omega$-distanceFixed-point theoremSpace (mathematics)Fixed-point propertyComputer Science ApplicationsMathematicsMathematical and Computer Modelling
researchProduct