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Coincidence Point Results for Different Types of $ H_b^{+} $-contractions on $m_b$-Metric Spaces

Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 2)

Publication Date:

Authors : ; ;

Page : 1-31

Keywords : $m_b$-metric; $m_b$-Cauchy sequence; $H_b^+ $-contraction; Coincidence point;

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Abstract

In this paper, we give some properties of $m_b$-metric topology and prove Cantor's intersection theorem in $m_b$-metric spaces. Moreover, we introduce some new classes of $H_b^+ $-contractions for a pair of multi-valued and single-valued mappings and discuss their coincidence points. Some examples are provided to justify the validity of our main results.

Last modified: 2021-11-03 14:32:34