Solution to Fredholm integral inclusions via (F, δb)-contractions

Abstract

We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.

Keywords

• almost contraction
• multivalued mapping
• b-metric space
• f -contraction
• integral inclusion equation
• 47h10
• 54h25
• 45b99