Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions
محورهای موضوعی : Fixed point theory
S. K. Mohanta
1
(Department of Mathematics, West Bengal State University, Barasat, 24 Parganas(North), Kolkata-700126, West Bengal, India)
D. Biswas
2
(Department of Mathematics, West Bengal State University, Barasat, 24 Parganas(North), Kolkata-700126, West Bengal, India)
کلید واژه: Common fixed point, digraph, altering distance function, $b$-metric,
چکیده مقاله :
In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair ofself-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and alteringdistance functions. Finally, some examples are provided to justify the validity of our results.
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