The metric approach to fixed point theorems in metric-like spaces

Dũng, Nguyễn Văn; Hiếu, Nguyễn Trung; Hang, Vo Le

doi:10.18514/mmn.2017.1930

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2023

2024

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Cited by 2 publications

(2 citation statements)

References 26 publications

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“…The following outcomes are critical in our future thoughts, and the proofs can be completed with respect to [31,32].…”

Section: Lemma 3 M *mentioning

confidence: 99%

On Modified Interpolative Almost E−Type Contraction in Partial Modular b−Metric Spaces

Kesik,

Büyükkaya,

Öztürk

2023

Axioms

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The current study attempts to identify a new generalized metric space structure, referred to as partial modular b−metric, that extends both partial modular metric space via b−metric space and explains the topological aspects of the new space implementing examples. In addition, a new contraction mapping referred to as modified interpolative almost E−type contraction is determined, which is an interpretation of interpolative contraction bestowed with almost contraction and E−contraction as well as a simulation function and a fixed point theorem that encompass such mappings in the context of partial modular b−metric space is demonstrated. In conclusion, an example and an application that endorse the main theorem’s outcomes are offered.

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“…The following outcomes are critical in our future thoughts, and the proofs can be completed with respect to [31,32].…”

Section: Lemma 3 M *mentioning

confidence: 99%

On Modified Interpolative Almost E−Type Contraction in Partial Modular b−Metric Spaces

Kesik,

Büyükkaya,

Öztürk

2023

Axioms

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“…Later on, Mustafa et al [28] proved some common fixed point theorems in the setting of partial b-metric space. Recently, some authors have obtained fixed point results in partial b-metric spaces, see for example, [15], [40], [2] and some others.…”

Section: Introductionmentioning

confidence: 99%

Fixed point results for almost Z-contractions in partial b-metric spaces via simulation function

Saluja

2024

AMCS

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The metric approach to fixed point theorems in metric-like spaces

Abstract: Abstract. By constructing two metrics from a given metric-like space we show that some fixed point theorems in metric-like spaces may be obtained from the corresponding results in metric spaces.

Cited by 2 publications

References 26 publications

On Modified Interpolative Almost E−Type Contraction in Partial Modular b−Metric Spaces

On Modified Interpolative Almost E−Type Contraction in Partial Modular b−Metric Spaces

Fixed point results for almost Z-contractions in partial b-metric spaces via simulation function

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