A common fixed-point theorem for semi-compatible mappings in a complete metric space of an implicit relation via inverse C-class functions

Key Points

• The theorem establishes convergence to a unique common fixed point for six self-maps, enhancing existing fixed-point theory.
• Incorporating both semi-compatible and reciprocally continuous mappings, it builds upon earlier methodologies in mathematical frameworks.
• A generalized contraction condition using implicit relations provides a stronger foundation for convergence in complete metric spaces.
• This work improves and generalizes previous results, potentially influencing further research in mappings and mathematical analysis.

Abstract