0000000000181161

AUTHOR

Mi Zhou

showing 3 related works from this author

On coincidence and common fixed point theorems of eight self-maps satisfying an FM-contraction condition

2019

In this paper, a new type of contraction for several self-mappings of a metric space, called FM-contraction, is introduced. This extends the one presented for a single map by Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2012:94, 2012]. Coincidence and common fixed point of eight self mappings satisfying FM-contraction conditions are established via common limit range property without exploiting the completeness of the space or the continuity of the involved maps. Coincidence and common fixed point of eight self-maps satisfying FM-contraction conditions via the common property (E.A.) are also studied. Our results generaliz…

Pure mathematicsWeakly compatibleApplied Mathematicsweakly compatible010102 general mathematicscommon property (E.A.)lcsh:QA299.6-433common fixed pointlcsh:AnalysisFixed point01 natural sciencesCoincidence010101 applied mathematicsMetric spacecoincidence pointcommon (CLR(AB)(ST)) propertyCommon fixed pointCommon property0101 mathematicsCoincidence pointContraction (operator theory)AnalysisMathematicsNonlinear Analysis
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Generalized F-Contractions on Product of Metric Spaces

2019

Our purpose in this paper is to extend the fixed point results of a &psi

Pure mathematicslcsh:MathematicsGeneral Mathematics<i>ψF</i>-contraction generalized <i>ψF</i>-contraction<i>F</i>-contractionNatural numberFixed pointlcsh:QA1-939Metric spaceTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESfixed pointComputer Science (miscellaneous)Product topologyF contractionHigh Energy Physics::ExperimentEngineering (miscellaneous)MathematicsMathematics
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The Sehgal’s Fixed Point Result in the Framework of ρ-Space

2022

In this paper, we prove a fixed point theorem of Sehgal type (see Sehgal, V.M., Proc Amer Math Soc 23: 631–634, 1969) in a more general setting of ρ-space (see Secelean, N.A. and Wardowski, D., Results Math, 72: 919–935, 2017). In this way, we can find, as particular cases, some results of Sehgal type in metric, b-metric and rectangular b-metric spaces.

Sehgal theoremrectangular b-metric spacefixed pointGeneral Mathematicsstrong ρ-spaceMathematicsofComputing_GENERALQA1-939Computer Science (miscellaneous)Engineering (miscellaneous)dislocated metric spaceMathematicsMathematics
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