Coincidence and common fixed point results via simulation functions in G-metric spaces

Kumar, Manoj; Arora, Sahil; Imdad, Mohammad; Alfaqih, Waleed M.

doi:10.22436/jmcs.019.04.08

Cited by 6 publications

(4 citation statements)

References 12 publications

(13 reference statements)

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“…Therefore δ = σ , that is, δ is a unique fixed point of . Now we present an example illustrating our results; for more applications, we refer to [11,17,[24][25][26][27][28][29].…”

Section: 2mentioning

confidence: 94%

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Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equation

Alihajimohammad

Saadati

2021

J Inequal Appl

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We propose a method for constructing a generalized fuzzy Hausdorff distance on the set of the nonempty compact subsets of a given generalized fuzzy metric space in the sence of George–Veeramni and Tian–Ha–Tian. Next, we define the generalized fuzzy fractal spaces. Morever, we obtain a fixed point theorem of a class of generalized fuzzy contractions and present an application in integranl equation.

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“…Therefore δ = σ , that is, δ is a unique fixed point of . Now we present an example illustrating our results; for more applications, we refer to [11,17,[24][25][26][27][28][29].…”

Section: 2mentioning

confidence: 94%

“…Then the function G is continuous on S × S × S × J • . Let (S, g) be a G-metric space (for more detail, we refer to [16][17][18][19] and [20]). Let G g be the function defined on S × S × S × J • by G g…”

Section: Proposition 23 ([15]mentioning

confidence: 99%

Generalized fuzzy GV-Hausdorff distance in GFGV-fractal spaces with application in integral equation

Alihajimohammad

Saadati

2021

J Inequal Appl

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“…Theorem 108. [63] Let (X, G) be a symmetric complete Gmetric space and S, T : X −→ X be self-mappings on X. Suppose that…”

Section: Aydi (2017)mentioning

confidence: 99%

Advancements in Fixed Point Results of Generalized Metric Spaces: A Survey

Jiddah

Mohammed

Imam

2023

Sohag Journal of Sciences

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The increasing significance of metric spaces and their applications in sciences and engineering has manifested over the years. This has led to the emergence of fixed point theory in metric spaces which in turn, has many practical usefulness in inequalities, approximation theory, optimization theory, image restoration and filtering, to mention but a few. Following up this development, in this paper, various results on G-metric spaces (also called generalized metric spaces) introduced by Mustafa and Sims are reviewed. Extensions of fixed point theorems for Lipschitzian-type mappings on G-metric spaces are compiled and a concise report on the transition in fixed point theorems on G-metric spaces are established. The aim of this survey is therefore, to examine and provide an up-to-date analysis of the important advancements in the fixed point theory of G-metric spaces. Consequently, this note is handy for researchers in the domain of metric and pseudo-metric spaces as they can easily appreciate how new results are delineated from the subsequent ones.

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“…Most of the problems of applied mathematics are reduced to finding fixed points of certain mappings. For solving various problems of integral calculus, researchers have tried to generalize contractive conditions, mappings, and metric spaces, see [6][7][8][9][10][11]17]. Clearly, G ∈ C(I).…”

Section: An Applicationmentioning

confidence: 99%