6533b7d2fe1ef96bd125ec69
RESEARCH PRODUCT
On coincidence and common fixed point theorems of eight self-maps satisfying an FM-contraction condition
Adrian Nicolae SeceleanXiao-lan LiuMi Zhousubject
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)AnalysisMathematicsdescription
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 generalize, extend and improve the analogous recent results in the literature, and some examples are presented to justify the validity of our main results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-11-01 | Nonlinear Analysis |