Fixed-disc results on metric spaces

Nihal Taş; Nabil Mlaiki; Hassen Aydi; Nihal Özgür

doi:10.2298/FIL2102447T

Fixed-disc results on metric spaces

Nihal Taş^*, Nabil Mlaiki, Hassen Aydi^*, Nihal Özgür

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this paper, we deal with the geometric properties of non-unique fixed points for self-mappings of a metric space (resp. an S-metric space). The fixed-disc (resp. fixed-circle) problem has been investigated in this setting. To obtain new fixed-disc results, we modify some known fixed-point techniques. Illustrative examples are also given to show the validity of our main results.

Original language	English
Pages (from-to)	447-457
Number of pages	11
Journal	Filomat
Volume	35
Issue number	2
DOIs	https://doi.org/10.2298/FIL2102447T
Publication status	Published - 2021
Externally published	Yes

Keywords

Fixed disc
Generalized α-ψ-contraction
Metric space

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10.2298/FIL2102447T

Cite this

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abstract = "In this paper, we deal with the geometric properties of non-unique fixed points for self-mappings of a metric space (resp. an S-metric space). The fixed-disc (resp. fixed-circle) problem has been investigated in this setting. To obtain new fixed-disc results, we modify some known fixed-point techniques. Illustrative examples are also given to show the validity of our main results.",

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AU - Taş, Nihal

AU - Mlaiki, Nabil

AU - Aydi, Hassen

AU - Özgür, Nihal

PY - 2021

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N2 - In this paper, we deal with the geometric properties of non-unique fixed points for self-mappings of a metric space (resp. an S-metric space). The fixed-disc (resp. fixed-circle) problem has been investigated in this setting. To obtain new fixed-disc results, we modify some known fixed-point techniques. Illustrative examples are also given to show the validity of our main results.

AB - In this paper, we deal with the geometric properties of non-unique fixed points for self-mappings of a metric space (resp. an S-metric space). The fixed-disc (resp. fixed-circle) problem has been investigated in this setting. To obtain new fixed-disc results, we modify some known fixed-point techniques. Illustrative examples are also given to show the validity of our main results.

KW - Fixed disc

KW - Generalized α-ψ-contraction

KW - Metric space

UR - https://www.scopus.com/pages/publications/85120710421

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DO - 10.2298/FIL2102447T

M3 - Article

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SN - 0354-5180

VL - 35

SP - 447

EP - 457

JO - Filomat

JF - Filomat

IS - 2

ER -

Fixed-disc results on metric spaces

Abstract

Keywords

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