# On n-tuplet fixed points for noncompact multivalued mappings via measure of noncompactness

## TL;DR

This paper establishes new fixed point theorems for multi-valued mappings using measure of noncompactness, with applications to integral inclusions, advancing the understanding of solutions in noncompact settings.

## Contribution

It introduces novel fixed point results for multi-valued contractions employing measure of noncompactness, extending fixed point theory to noncompact multivalued mappings.

## Key findings

- Proved existence of n-tuplet fixed points for noncompact multivalued mappings.
- Applied fixed point results to demonstrate solutions for systems of integral inclusions.
- Extended fixed point theory to broader classes of noncompact multivalued mappings.

## Abstract

In this paper, some results on the existence of n-tuplet fixed points for multi-valued contraction mappings are proved via measure of noncompactness. As an application, the existence of solutions for a system of integral inclusions is studied.