Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces

Jeyaraman, M.; SUGANTHI>, M.; Shatanawi, Wasfı

doi:10.3390/math8081212

Cited by 3 publications

(1 citation statement)

References 21 publications

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“…Omeri et al [10] established a number of common fixed-point results in the sense of neutrosophic cone metric space. Additionally, the idea of changing the distance function is used to define the concept of (Φ, Ψ)-weak contraction in the neutrosophic cone metric space (for more details see [11][12][13][14][15][16][17][18][19]). Recently, Riaz et al [20] introduced the notions of generalized neutrosophic cone metric spaces (GNCMSs) and ξ-chainable neutrosophic cone metric spaces and established several common fixed-point results in both spaces.…”

Section: Introductionmentioning

confidence: 99%

Extension of a Unique Solution in Generalized Neutrosophic Cone Metric Spaces

et al. 2022

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In order to solve issues that arise in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization issues, equilibrium problems, complementarity issues, selection and matching problems, and issues proving the existence of solutions to integral and differential equations, fixed point theory provides vital tools. In this study, we discuss topological structure and several fixed-point theorems in the context of generalized neutrosophic cone metric spaces. In these spaces, the symmetric properties play an important role. We examine the existence and a uniqueness of a solution by utilizing new types of contraction mappings under some circumstances. We provide an example in which we show the existence and a uniqueness of a solution by utilizing our main result. These results are more generalized in the existing literature.

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Section: Introductionmentioning

confidence: 99%

Extension of a Unique Solution in Generalized Neutrosophic Cone Metric Spaces

et al. 2022

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Common Fixed Point Theorems and Applications in Intuitionistic Fuzzy Cone Metric Spaces

Konwar¹

2021

Metric Fixed Point Theory

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Some fixed point results for <i>ξ</i>-chainable neutrosophic and generalized neutrosophic cone metric spaces with application

Riaz

Ishtiaq

Park

et al. 2022

MATH

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<abstract> <p>This manuscript is concerned for introducing novel concepts of <italic>ξ</italic>-chainable neutrosophic metric space and generalized neutrosophic cone metric spaces. We use four self-mappings to establish common fixed point theorem in the sense of <italic>ξ</italic>-chainable neutrosophic metric space and three self-mappings to establish common fixed point results in the sense of generalized neutrosophic metric spaces. Certain properties of <italic>ξ</italic>-chainable neutrosophic metric space and generalized neutrosophic metric spaces are defined and their examples are presented. An application to fuzzy Fredholm integral equation of second kind is developed to verify the validity of proposed results. These results boost the approaches of existing literature of fuzzy metric spaces and fuzzy fixed theory.</p> </abstract>

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Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces

Cited by 3 publications

References 21 publications

Extension of a Unique Solution in Generalized Neutrosophic Cone Metric Spaces

Extension of a Unique Solution in Generalized Neutrosophic Cone Metric Spaces

Common Fixed Point Theorems and Applications in Intuitionistic Fuzzy Cone Metric Spaces

Some fixed point results for <i>ξ</i>-chainable neutrosophic and generalized neutrosophic cone metric spaces with application

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