Fixed Point Theorems for Almost $\alpha$-$\psi$-Contractive Mappings in F-metric Spaces

In this paper, we introduce an almost $\alpha$-$\psi$-contraction and a rational type $\alpha$-$\psi$-contraction for $\alpha$-admissible mappings in complete $F$-metric spaces which were introduced as a generalization of metric spaces. We prove the existence of a fixed point for these type contractions.

Authors

Institutions

Publication Details

Journal
Fundamental Journal of Mathematics and Applications
Published
2024-12-30
DOI
https://doi.org/10.33401/fujma.1400093
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

Fixed Point Theorems for Almost $\alpha$-$\psi$-Contractive Mappings in F-metric Spaces

Vildan Öztürk, Canan Acar
Fundamental Journal of Mathematics and Applications
Fixed Point Theorems Analysis
article

Fixed Point Theorems for Almost $\alpha$-$\psi$-Contractive Mappings in F-metric Spaces

Vildan Öztürk, Canan Acar
article en

Abstract

In this paper, we introduce an almost $\alpha$-$\psi$-contraction and a rational type $\alpha$-$\psi$-contraction for $\alpha$-admissible mappings in complete $F$-metric spaces which were introduced as a generalization of metric spaces. We prove the existence of a fixed point for these type contractions.

Fundamental Journal of Mathematics and ApplicationsVol. 7(4)
Ankara Hacı Bayram Veli University (TR)
Openalex Percentile: Top 63%
Fixed Point Theorems Analysis
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.

Fixed Point Theorems for Almost $\alpha$-$\psi$-Contractive Mappings in F-metric Spaces — Vildan Öztürk, Canan Acar · Fundamental Journal of Mathematics and Applications (2024) | TGRS Research Map | TGRS