ϕ-contractive multivalued mappings in complex valued metric spaces and remarks on some recent papers

Joshi, Vishal; Singh, Naval; Singh, Deepak

doi:10.1080/23311835.2016.1162484

Cited by 2 publications

(3 citation statements)

References 8 publications

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“…The established results generalizes some results from the exiting literature particularly the result of Joshi et al [34] for fuzzy mappings. Applications and appropriate example are also provided.…”

Section: Introductionsupporting

confidence: 58%

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Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications

2018

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In this paper, using rational type contractions, common fuzzy fixed point result for Φ contractive mappings involving control functions as coefficients of contractions in the setting of complex-valued metric space is established. The derived results generalizes some result in the existing literature. To show the validity of the derived results an appropriate example and applications are also discussed.

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Section: Introductionsupporting

confidence: 58%

“…Definition 12 (see [34]). Suppose Ψ is a collection of nondecreasing functions, Φ : C → C, such that Φ(0) = 0 and Φ( ) ≺ , when 0 ≺ .…”

Section: Complexitymentioning

confidence: 99%

Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications

2018

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“…In this regard Azam et al [5] introduced a notion of complex valued metric space which is a special case of cone metric spaces and obtained common fixed point results with rational contraction. Afterwards several researchers extended the aforesaid work using different types of rational contraction with self mappings and multivalued mappings in the context of complex valued metric spaces; see, for instance, [2,17,20,21,34] and the references cited therein. The researchers continued the process of more generalizations and improved the contractive conditions by replacing control function to the Lipschitz constant in contraction.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces

Sarwar¹,

Li²

2018

HJMS

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The main purpose of this article is to discuss the existence of the common solution of second-order nonlinear boundary value problems        x ′′ (ȷ) = k(ȷ, x(ȷ), x ′ (ȷ)), if ȷ ∈ [0, Λ], Λ > 0, x(ȷ 1) = x 1 , x(ȷ 2) = x 2 , ȷ 1 , ȷ 2 ∈ [0, Λ], (0.1) where k : [0, Λ] × S(S) × S(S) → S(S) is a continuous function and S(S) is a family of fuzzy sets. In this regard we obtain common fixed point results for two pairs of fuzzy mappings satisfying rational contractive condition in the setting of complex valued metric spaces. Our results improve those reported in the existing literature.

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ϕ-contractive multivalued mappings in complex valued metric spaces and remarks on some recent papers

Cited by 2 publications

References 8 publications

Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications

Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications

Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces

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