Results on Chatterjea’s Contraction in b-Metric Space

In 1922, Polish mathematician S. Banach introduced contraction conditions in metric space and confirmed that every contraction mapping in a complete metric space gives a unique fixed point. In 1968, R. Kannan generalized Banach contraction, and S. K. Chatterjea modified the Kannan contraction in 1972. This paper aims to show that any contractive condition need not be a weak contraction mapping in b-metric space.

Authors

Institutions

Publication Details

Journal
Patan Prospective Journal
Published
2024-12-31
DOI
https://doi.org/10.3126/ppj.v4i2.79147
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Results on Chatterjea’s Contraction in b-Metric Space

Chet Raj Bhatta, Ajay Kumar Chaudhary, Dilip Kumar Sah
Patan Prospective Journal
Fixed Point Theorems Analysis
article

Results on Chatterjea’s Contraction in b-Metric Space

Chet Raj Bhatta, Ajay Kumar Chaudhary, Dilip Kumar Sah
article en

Abstract

In 1922, Polish mathematician S. Banach introduced contraction conditions in metric space and confirmed that every contraction mapping in a complete metric space gives a unique fixed point. In 1968, R. Kannan generalized Banach contraction, and S. K. Chatterjea modified the Kannan contraction in 1972. This paper aims to show that any contractive condition need not be a weak contraction mapping in b-metric space.

Patan Prospective JournalVol. 4(2)
Tribhuvan University (NP)
Openalex Percentile: Top 60%
Fixed Point Theorems Analysis
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Results on Chatterjea’s Contraction in b-Metric Space — Chet Raj Bhatta, Ajay Kumar Chaudhary, et al. · Patan Prospective Journal (2024) | TGRS Research Map | TGRS