# On different type of fixed point theorem for multivalued mappings via measure of noncompactness

## TL;DR

This paper introduces new fixed point theorems for multivalued maps using measure of noncompactness, generalizes Meir-Keeler mappings, and applies these results to establish weak solutions for evolution differential inclusions.

## Contribution

It presents novel fixed point theorems based on noncompactness measures and introduces a broader class of mappings than Meir-Keeler mappings.

## Key findings

- Established new fixed point theorems for multivalued maps
- Introduced a more general class of mappings than Meir-Keeler mappings
- Applied results to prove existence of weak solutions for evolution differential inclusions

## Abstract

In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings. Finally, we use these results to investigate the existence of weak solutions to an Evolution differential inclusion with a lack of compactness.