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Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs
- Source :
- Filomat. 32:671-680
- Publication Year :
- 2018
- Publisher :
- National Library of Serbia, 2018.
-
Abstract
- In this paper, a new type of graph contractive multi-valued mappings in a metric space with a directed graph is introduced and studied. A common fixed point theorem of those two multi-valued mappings is established under some appropriate conditions. Moreover, some examples illustrating our main result are also given. The obtained result extends and generalizes several fixed point results of multivalued mappings in the literature. We apply our main result to obtain common fixed point results for two multi-valued mappings in ?-chainable complete metric spaces and two cyclic contraction multi-valued mappings.
- Subjects :
- Discrete mathematics
Metric space
010308 nuclear & particles physics
General Mathematics
0103 physical sciences
0202 electrical engineering, electronic engineering, information engineering
Common fixed point
020201 artificial intelligence & image processing
02 engineering and technology
01 natural sciences
Multi valued
Mathematics
Subjects
Details
- ISSN :
- 24060933 and 03545180
- Volume :
- 32
- Database :
- OpenAIRE
- Journal :
- Filomat
- Accession number :
- edsair.doi...........885378f98e0679f49af57e74143f1421