Some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces via digraphs

S. K. Mohanta; R. Kar

doi:10.30970/ms.53.1.69-84

S. K. Mohanta Department of Mathematics, West Bengal State University, Barasat, Kolkata-700126, India
R. Kar Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India

DOI: https://doi.org/10.30970/ms.53.1.69-84

Анотація

We introduce the concept of generalized $F$-$G$-contraction and prove some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces endowed with a digraph $G$. Our results generalize and extend several well-known comparable results including Nadler's fixed point theorem for multi-valued mappings. Moreover, we give some examples to justify the validity of our main result.

Посилання

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