Fixed Point Results for Interpolative Kannan Type and Ćirić‐Reich‐Rus Type Cyclic Contractions in Dislocated Quasi‐Rectangular b‐Metric Spaces

Key Points

• The article seeks to establish a new fixed point result for specific types of cyclic contractions in b-metric spaces.
• Proved the existence of a unique fixed point for certain contractions in dislocated quasi-rectangular b-metric spaces.
• Generalized recent findings in the literature regarding cyclic contractions.
• Provided a nontrivial example to support the theorem.
• Applied the results to find solutions for nonlinear Fredholm integral equations.
• Established the existence of a unique fixed point in dislocated quasi-rectangular b-metric spaces.
• Demonstrated the applicability of the findings to solve nonlinear equations.
• Generalized previous findings, expanding the understanding of cyclic contractions in metric spaces.

Abstract