Generalized $ (\alpha_s, \xi, \hbar, \tau) $-Geraghty contractive mappings and common fixed point results in partial $ b $-metric spaces
Ying Chang,
Hongyan Guan
Abstract:<abstract><p>In this paper, we introduce two new classes of mixed $ (\mathcal{S, T}) $-$ \alpha $-admissible mappings and interspersed $ (\mathcal{S}, \mathfrak{g}, \mathcal{T}) $-$ \alpha $-admissible mappings and study the sufficient conditions for the existence and uniqueness of a common fixed point of generalized $ (\alpha_s, \xi, \hbar, \tau) $-Geraghty contractive mapping in the framework of partial $ b $-metric spaces. We also provide two examples to show the applicability and validity of ou… Show more
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