Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces

In this work, the authors introduce the concept of neutrosophic semi-metric spaces and prove several common fixed-point theorems for countable and uncountable family of mappings via an implicit relation of contractive and integral type by utilizing locally integrable functions. These results improve and generalize the several results in the existing literature. Further, the authors present some non-trivial examples to support our main results. Mathematics Subject Classification: 46S40, 47H10, 54H25.

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Publication Details

Journal
Journal of Advances in Applied & Computational Mathematics
Published
2024-08-14
DOI
https://doi.org/10.15377/2409-5761.2024.11.3
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces

Umar Ishtiaq, Tayyab Kamran, Ioannis K. Argyros, Ghulam Murtaza et al.
Journal of Advances in Applied & Computational Mathematics
Fixed Point Theorems Analysis
article

Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces

Umar Ishtiaq, Tayyab Kamran, Ioannis K. Argyros, Ghulam Murtaza, Khaleel Ahmad
article en

Abstract

In this work, the authors introduce the concept of neutrosophic semi-metric spaces and prove several common fixed-point theorems for countable and uncountable family of mappings via an implicit relation of contractive and integral type by utilizing locally integrable functions. These results improve and generalize the several results in the existing literature. Further, the authors present some non-trivial examples to support our main results. Mathematics Subject Classification: 46S40, 47H10, 54H25.

Journal of Advances in Applied & Computational MathematicsVol. 11
Cameron University (US), Quaid-i-Azam University (PK), University of Management and Technology (PK)
Openalex Percentile: Top 77%
Fixed Point Theorems Analysis
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Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces — Umar Ishtiaq, Tayyab Kamran, et al. · Journal of Advances in Applied & Computational Mathematics (2024) | TGRS Research Map | TGRS