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- Title
Common fixed point of set valued graph A<sub>φ</sub>-contraction pair and generalized φ-weak G-contraction on metric space endowed with a graph-weak G-contraction on metric space endowed with a graph.
- Authors
NEOG, MURCHANA; DEBNATH, PRADIP; RADENOVIĆ, STOJAN
- Abstract
In this paper, we define the notion of graph Aφ-contraction pair and generalized φ-weak G contraction on subsets of a metric space involving a graph. Using such contractions, the existence as well as uniqueness of common fixed point for set valued mappings with set valued domain involving a directed graph have been examined. Suitable examples are presented to validate the non-triviality the results. We particularly generalize and extend the results due to Zhang and Song [Fixed point theory for generalized φ-weak contractions.
- Subjects
FIXED point theory; METRIC spaces; POINT set theory; DIRECTED graphs
- Publication
Annals of the University of Craiova. Mathematics & Computer Science Series, 2020, Vol 47, Issue 1, p158
- ISSN
1223-6934
- Publication type
Article