A New Type of Darbo's Fixed Point Theorem Defined by The Sequences of Functions

TL;DR

This paper introduces a novel Darbo's fixed point theorem based on function sequences with shifting distance property, establishing fixed point existence and providing illustrative examples.

Contribution

It presents a new fixed point theorem utilizing function sequences with shifting distance property, expanding the scope of Darbo's fixed point results.

Findings

Established existence of fixed points under the new theorem

Provided an example satisfying the theorem's conditions

Extended Darbo's fixed point theory to sequence-based functions

Abstract

In this paper, we introduce a new type of Darbo's fixed point theorem by using concept of function sequences with shifting distance property. Afterward, we investigate existence of fixed point under this the theorem. Also we are going to give interesting example held the conditions of sequences of functions