Work

Some Fixed Point Theorems for the New Generalizations of $P$-Contractive Maps

Year: 2024

Type: article

Abstract: In this paper, we introduce the enriched $P$-contractive and the enriched Suzuki-type $P$-contractive maps, and for such maps, we establish the existence and uniqueness of fixed points (fps) in the setting of normed spaces. Also, we introduce the generalized Suzuki-type $P$-contractive map and prove some fp theorems for this map in compact metric spaces. These results unify, generalize, and complement various comparable results in the literature.

Source: Fundamental Journal of Mathematics and Applications

DOI: 10.33401/fujma.1466353

Authors: Aynur Şahin, Buse Demir

Institution: Sakarya University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405949549

FWCI: 0.673

Cites: 20

Cited by: 1

Related to: 10