Common fuzzy fixed point theorems in ordered metric spaces

irić, Ljubomir; Abbas, Mujahid; Damjanović, Boško; Saadati, Reza

doi:10.1016/j.mcm.2010.12.050

Cited by 31 publications

(8 citation statements)

References 15 publications

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“…In order to study some more significant fixed point results on fuzzy metric spaces, one can see the research papers [11][12][13][14][15][16][17][18].…”

Section: Definition 1 ([10]mentioning

confidence: 99%

Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces

Gupta

Shatanawi

Kanwar³

2020

Mathematics

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The introduction of the common limit range property on V -fuzzy metric spaces is the foremost aim of this paper. Furthermore, significant results for coupled maps are proven by employing this property on V -fuzzy metric spaces. More precisely, we introduce the notion of C L R Ω -property for the mappings Θ : M × M → M and Ω : M → M . We utilize our new notion to present and prove our new fixed point results.

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“…In order to study some more significant fixed point results on fuzzy metric spaces, one can see the research papers [11][12][13][14][15][16][17][18].…”

Section: Definition 1 ([10]mentioning

confidence: 99%

Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces

Gupta

Shatanawi

Kanwar³

2020

Mathematics

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“…Definition 1 (see [22]). A triple ( , , ≤) is called a partially ordered metric space if ( , ) is a MS and ≤ is a partial order on .…”

Section: Preliminariesmentioning

confidence: 99%

Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions

Roldán

Martínez-Moreno

Roldán

et al. 2013

Abstract and Applied Analysis

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We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ()-contractivity condition in partial metric spaces. The results we obtain generalize, extend, and unify several classical and very recent related results in the literature in metric spaces (see Aydi et al. (2011), Berinde and Borcut (2011), Gnana Bhaskar and Lakshmikantham (2006), Berzig and Samet (2012), Borcut and Berinde (2012), Choudhury et al. (2011), Karapınar and Luong (2012), Lakshmikantham and Ćirić (2009), Luong and Thuan (2011), and Roldán et al. (2012)) and in partial metric spaces (see Shatanawi et al. (2012)).

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“…If is a metric on , we say that ( , ) is a metric space (for short, an MS). Definition 1 (see [15]). A triple ( , , ≼) is called a partially ordered metric space if ( , ) is an MS and ≼ is a partial order on .…”

Section: Preliminariesmentioning

confidence: 99%