Existence theorem for integral inclusions by a fixed point theorem for multivalued implicit-type contractive mappings

Abstract

In this article, we introduce fixed point theorems for multivalued mappings satisfying implicit-type contractive conditions based on a special form of simulation functions. We also provide an application of our result in integral inclusions. Our outcomes generalize/extend many existing fixed point results.

Keywords

• fixed point
• implicit simulation function
• integral inclusions
• multivalued mappings