Ćirić-type generalized F-contractions with integral inclusion in super metric spaces

Abstract

This study aims to explore Ćirić-type generalized F-contractions, almost F-contractions, and the combination of these contractions in the framework of super metric spaces. These generalizations are significant because they hold where the usual metric conditions mayn’t be fulfilled. Using the iteration method, fixed point results have been obtained for these contractions, and through examples and applications to integral inclusions and contractions, we extend existing literature significantly. This extension offers new insights and demonstrates practical relevance.

Keywords

• F-contraction
• Fixed point
• Super metric space
• Ćirić-type contraction
• Almost-contraction
• Integral inclusion