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On coincidence and common fixed point theorems of eight self-maps satisfying an FM-contraction condition
- Source :
- Nonlinear Analysis, Vol 24, Iss 6 (2019)
- Publication Year :
- 2019
- Publisher :
- Vilnius University Press, 2019.
-
Abstract
- 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.
- Subjects :
- Pure mathematics
Weakly compatible
Applied Mathematics
weakly compatible
010102 general mathematics
common property (E.A.)
lcsh:QA299.6-433
common fixed point
lcsh:Analysis
Fixed point
01 natural sciences
Coincidence
010101 applied mathematics
Metric space
coincidence point
common (CLR(AB)(ST)) property
Common fixed point
Common property
0101 mathematics
Coincidence point
Contraction (operator theory)
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 23358963 and 13925113
- Volume :
- 24
- Issue :
- 6
- Database :
- OpenAIRE
- Journal :
- Nonlinear Analysis
- Accession number :
- edsair.doi.dedup.....8b96601fa1002e6cc87cdd5886e4d77f