On some fixed point theorems for partial contraction mappings in a partially ordered multi-metric space

Key Points

• The study proves fixed point theorems for partial contraction mappings in multi-metric spaces, emphasizing monotonic convergence.
• It demonstrates that sequences of iterations converge to fixed points under specified conditions, showing both local and global results.
• The results encompass existing well-known fixed point theorems, validating their applicability in a broader context of multi-metric spaces.
• This research adds depth to the understanding of mathematical mappings, potentially influencing future studies in metric space theory.