Application of Fixed Point in Algebra Fuzzy Normed Spaces

Kider, Jehad R.

doi:10.1088/1742-6596/1879/2/022099

Cited by 2 publications

(1 citation statement)

References 10 publications

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“…A considerable number of papers for the FMS and FNS have been published, for example, see [1][2][3][4][5][6][7]. Kider with his students present many definitions of FMS and FNS from 2011 to 2020 for example see [8,9,10].…”

Section: Introductionmentioning

confidence: 99%

The Product Fuzzy Metric Space and its Basic Properties

Kider

2022

J. Phys.: Conf. Ser.

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A new type of FMS, known as a product FMS (or simply p-FMS) is introduced, the reason behind this name is the continuous t-norm used here is binary operation usually product between number in [0, 1]. To show that this type of spaces is exists we give some examples, then some important basic properties, of this space are introduced with its proves. Moreover we study fuzzy continuous and uniformly fuzzy continuous function by proving basic properties of these notions. Furthermore the prove of cross product of finite number of p-FMS is again a p-FMS is introduced.

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Section: Introductionmentioning

confidence: 99%

The Product Fuzzy Metric Space and its Basic Properties

Kider

2022

J. Phys.: Conf. Ser.

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New approach of Lebesgue integral in revised fuzzy cone metric spaces via unique coupled fixed point theorems

Thangathamizh,

Muraliraj,

Shanmugavel

2024

Vojnotehnički glasnik

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Introduction/purpose: This article introduces the concept of revised fuzzy cone contraction by using the concept of a traiangular conorm and Revised Fuzzy Cone contractive conditions. Methods: This article established new Revised Fuzzy Cone Contraction (RFC-C) type unique coupled Fixed Point theorems (FP theorems) in revised fuzzy cone metric spaces (RFCMS) by using the triangular property of RFCMS. Results: The obtained results on fixed points in revised fuzzy cone metric spaces generalize some known results in the litrature and present illustrative examples to support the main work. Conclusion: The RFC contractive conditions generalize some important contraction types and examine the existence of a fixed point in revised fuzzy cone metric spaces. In addition, the Lebesgue integral type mapping is applied to get the existence result of a unique coupled fixed point in RFCMS to validate the main work.

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Application of Fixed Point in Algebra Fuzzy Normed Spaces

Cited by 2 publications

References 10 publications

The Product Fuzzy Metric Space and its Basic Properties

The Product Fuzzy Metric Space and its Basic Properties

New approach of Lebesgue integral in revised fuzzy cone metric spaces via unique coupled fixed point theorems

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