Some Common Coupled Fixed Point Results on Modified Intuitionistic Fuzzy Metric Spaces

Gupta, Vishal; Saini, Rajesh K.; Kanwar, Ashima

doi:10.1016/j.procs.2016.03.006

Cited by 11 publications

(6 citation statements)

References 19 publications

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“…In 2014, Hong [11] introduced ( ; )-contraction for set-valued mapping in fuzzy metric space. Many other authors contributed their research to give direction in the …eld of fuzzy metric space [13,14,15,16,17,18]. This above work intensi…ed our e¤orts to prove our result using ( ; )-contraction mapping and -admissible mapping in fuzzy metric space.…”

Section: Introductionmentioning

confidence: 74%

Fixed point theorems for single valued α-ψ-mappings in fuzzy metric spaces

Gupta¹,

Saini²,

Verma³

2018

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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Section: Introductionmentioning

confidence: 74%

Fixed point theorems for single valued α-ψ-mappings in fuzzy metric spaces

Gupta¹,

Saini²,

Verma³

2018

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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“…Ertrk and Karakaya [28] stated and proved -tuplet coincidence point theorems in intuitionistic fuzzy normed spaces. Xia Li et al [29] worked on the intuitionistic fuzzy metric spaces and the intuitionistic fuzzy normed spaces (see also [30][31][32]).…”

Section: Advances In Fuzzy Systemsmentioning

confidence: 99%

Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions

Kanwal¹,

Azam

2018

Advances in Fuzzy Systems

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The main purpose of this paper is to establish and prove some new common fixed point theorems for intuitionistic fuzzy maps in the context of (α,β)-cut sets of intuitionistic fuzzy sets on a complete metric space in association with the Hausdorff metric. Furthermore, the technique of Meir-Keeler (shortly, M-K) contraction is applied to obtain common fixed point of intuitionistic fuzzy compatible maps and fixed points of Kannan type intuitionistic fuzzy set-valued contractive mappings. Our results generalize M-K type fixed point theorem along with its various generalizations. Some nontrivial examples have been furnished in the support of the main results.

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“…It is worth noting that both the property (E-A) and the common property (E-A) demand that the subspace be closed for a common fixed point to existing. More recently, Gupta et al [19], and Shatanawi et al [41] proved some common fixed point results on MIFM-Spaces by using integral type contraction, property (E-A), and common property (E-A).…”

Section: Introductionmentioning

confidence: 99%

Prevalent fixed point theorems on MIFM-Spaces using the ( C L R S R ) property and implicit function

Sharma¹,

Sharma²

2021

J. Math. Computer Sci.

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The main goal of this study is to use an implicit function to demonstrate the existence of a common fixed point on modified intuitionistic fuzzy metric spaces by using the concept of common limit range property with regard to two self-mappings S and R, i.e., (CLR SR ) property. Our primary result is supported by an example that validates the hypotheses of our result. Our findings improve and generalize the findings of Tanveer et al. [M. Tanveer, M. Imdad, D. Gopal, D. K. Patel, Fixed Point Theory Appl., 2012, and other existing results related to this study.

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Some Common Coupled Fixed Point Results on Modified Intuitionistic Fuzzy Metric Spaces

Cited by 11 publications

References 19 publications

Fixed point theorems for single valued α-ψ-mappings in fuzzy metric spaces

Fixed point theorems for single valued α-ψ-mappings in fuzzy metric spaces

Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions

Prevalent fixed point theorems on MIFM-Spaces using the ( C L R S R ) property and implicit function

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