Common Fixed Point Theorems Under Generalized Contractive Mappings in Convex Metric Spaces

Key Points

• The central aim is to explore convergence results for fixed point iterations of specific contractive operators.
• Investigated sequences of Akram-Jungck and MJ type contractive operators.
• Applied Jungck-Schaefer-like iterative technique for convergence analysis.
• Conducted theoretical analyses within convex metric spaces.
• Established conditions for unique common fixed points.
• Showed convergence of iterative methods to these fixed points.
• Demonstrated practical applications in solving optimization problems.