Fixed Point for Some Contractive Conditions in 2-Normed Spaces Involving a Graph

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DOI: https://doi.org/10.28924/2291-8639-24-2026-118
Published: Apr 20, 2026
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Neeraj Kumar, Seema Mehra, Ahmad Aloqaily, Nabil Mlaiki, Fixed Point for Some Contractive Conditions in 2-Normed Spaces Involving a Graph, Int. J. Anal. Appl., 24 (2026), 118.

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Neeraj Kumar, Seema Mehra, Ahmad Aloqaily, Nabil Mlaiki

Abstract

This note focuses on contraction type mappings in 2-normed linear spaces with a graph. We extend Chatterjea, Kannan’s extensions and (N- S-G), (N-S-A-G) to build contractive mappings respectively for a single map and for two maps in 2-normed linear spaces which is complete (2-Banach space) via graph. The findings broaden, generalize, and augment previously established results in the literature. We outline the future scope of our determined outcomes at the end of this note.

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