Work

Some fixed point results concerning various contractions in extended b - metric space endowed with a graph

Year: 2024

Type: article

Abstract: Contraction type mappings are crucial for understanding fixed point theory under specific conditions. We propose generalized (Boyd–Wong) type A F and (S - N) rational type contractions in an enlarged b-metric space which are represented by a graphically. Also, we gave a contrast of generalized (Boyd–Wong) type A F — contraction in 2D and 3D. We use appropriate illustrations to demonstrate the validity and primacy of our outcomes. Additionally, we use our derived conclusions to solve the Fredholm integral problem.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2024.100524

Authors: Neeraj Kumar, Seema Mehra, Dania Santina, Nabil Mlaiki

Institutions: Maharshi Dayanand University, Prince Sultan University, Jadara University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,490

Funder: Prince Sultan University