Fixed Point Theorems for (Ω-Π)-Contractions in Complete S-Metric Spaces

Key Points

• The aim is to establish (Ω,Π)-contractions in complete S-metric spaces and their implications for fixed points and convergence.
• Introduced (Ω,Π)-contractions satisfying Π(t)<Ω(t).
• Proved asymptotic regularity and established unique fixed points under specific conditions.
• Applied results to a nonlinear boundary value problem for diffusion.
• Established unique fixed points under closed-graph conditions.
• Demonstrated strong convergence from any initial point.
• Generalized the Banach contraction principle to S-metric spaces.