# New generalization of contraction mapping by new control function

## TL;DR

This paper introduces a new generalization of contraction mappings using a novel control function and altering distance, establishing fixed point existence results that unify and extend previous findings.

## Contribution

The paper presents a new generalization of contraction mappings with a novel control function, broadening fixed point theory.

## Key findings

- Established existence results for the new class of mappings.
- Unified and extended previous fixed point theorems.
- Reproduced several known and new results in the literature.

## Abstract

In this paper, we introduce the new generalization of contraction mapping by a new control function and an altering distance . We establish some existence results of fixed point for such mappings. Our results reproduce several old and new results in the literature.

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Source: https://tomesphere.com/paper/1701.04388