Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions

Journal of Linear and Topological Algebra

مقاله 4، دوره 07، شماره 03، آذر 2018، صفحه 201-218   

نوع مقاله: Special Issue on Fixed Point Theory

نویسندگان

S. K. Mohanta^* ؛ D. Biswas

Department of Mathematics, West Bengal State University, Barasat, 24 Parganas(North), Kolkata-700126, West Bengal, India

چکیده

In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided to justify the validity of our results.

کلیدواژه‌ها

$b$-metric؛ digraph؛ altering distance function؛ Common fixed point

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