New Types of Integral Contractions in Supra Metric Space

Key Points

• The aim is to define new types of integral contractions and demonstrate their significance through fixed point theorems.
• Defined generalized (S − ψ) contractions of integral type A and B.
• Proved fixed point theorems in supra metric space.
• Derive new results as consequences of the proved theorems.
• Provided an example to demonstrate the existence of a proved result.
• Solved a Fredholm integral equation as an application.
• Established new fixed point theorems for the defined contractions.
• Demonstrated the existence of solutions through example.
• Applied findings to solve a specific Fredholm integral equation.

Abstract