C*-algebra valued modular S-metric spaces with applications in fixed point theory

C*-Algebra-Valued Partial Modular Metric Spaces and Some Fixed Point Results

“…In 2017, Moeini et al [14][15][16] initiated the notion of C * -algebra-valued modular metric space (in short, C * av − MMS) and developed some fixed point results with contractive conditions. Das et al in [17][18][19], initiated the notions of C * -algebra-valued modular b-metric space (in short, C * av − MbMS), C * -algebra-valued modular S-metric space (in short, C * av − MSMS), and C * -algebra-valued modular G-metric space (in short, C * av − MGMS), respectively, and established some fixed point results in such respective spaces with applications. In 1994, Matthews [20] introduced the concept of partial metric space (in short, pMS).…”