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In this paper, we introduce the notion of  S ∗ P ‐ b -partial metric spaces which is a generalization each of  S ‐ b -metric spaces and partial-metric space. Also, we study and prove some topological properties, to know the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorem in these spaces.

journal of function spaces

<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msup> <mrow> <mi>S</mi> </mrow> <mrow> <mo>∗</mo> <mi>p</mi> </mrow> </msup> <mo>‐</mo> <mi>b</mi> </math>-Partial Metric Spaces with some Results in Common Fixed Point Theorems

S ∗ p ‐ b -Partial Metric Spaces with some Results in Common Fixed Point Theorems

$S^{* p} ‐ b$ -Partial Metric Spaces with some Results in Common Fixed Point Theorems