Common Fixed Point Theorems in Orthogonal Sets

In this paper, we introduce new notions of ⊥ Λ-quasicontraction and ⊥ Λ-preserving in the setting of orthogonal sets and prove respective common fixed point theorems. Furthermore, we provide an example to clarify our main result. Our results extend, improve, and generalize several known results in the literature.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2025-08-15
DOI
https://doi.org/10.28924/2291-8639-23-2025-196
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Common Fixed Point Theorems in Orthogonal Sets

Veerasamy Pragadeeswarar, Manuel De la Sen, V. Vishnu KS
International Journal of Analysis and Applications
Fixed Point Theorems Analysis
article

Common Fixed Point Theorems in Orthogonal Sets

Veerasamy Pragadeeswarar, Manuel De la Sen, V. Vishnu KS
article en

Abstract

In this paper, we introduce new notions of ⊥ Λ-quasicontraction and ⊥ Λ-preserving in the setting of orthogonal sets and prove respective common fixed point theorems. Furthermore, we provide an example to clarify our main result. Our results extend, improve, and generalize several known results in the literature.

International Journal of Analysis and ApplicationsVol. 23
Eusko Jaurlaritza
Openalex Percentile: Top 73%
Fixed Point Theorems Analysis
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Common Fixed Point Theorems in Orthogonal Sets — Veerasamy Pragadeeswarar, Manuel De la Sen, et al. · International Journal of Analysis and Applications (2025) | TGRS Research Map | TGRS