A few fixed point theorems in linear n-normed space

TL;DR

This paper extends Banach's fixed point theorem to linear n-normed spaces and presents several new fixed point theorems specific to this mathematical setting.

Contribution

It introduces the development of Banach's fixed point theorem and additional fixed point theorems within the context of linear n-normed spaces, a less-explored area.

Findings

Banach's fixed point theorem is extended to linear n-normed spaces.

Several new fixed point theorems are established for linear n-normed spaces.

Abstract

Banach's fixed point theorem in linear n-normed space is being developed. Also, we present several theorems on fixed points in linear n-normed space.