Fixed point theorems for ( F,\psi ,\varphi )-contractions on ordered S-Complete Hausdorff uniform spaces

Ansari, Arslan Hojat; Ozturk, Vildan

doi:10.20852/ntmsci.2017.143

Cited by 3 publications

(2 citation statements)

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“…From the references { [3], [21], [2]}, we define the following space as: Let Y be a non-empty set. A non-empty family ζ of subsets of Y × Y is called the uniform structure on Y if it satisfies the following properties: (p 1 ) If p(ξ n , η) ≤ x n and p(ξ n , σ) ≤ y n , for all n ∈ N, then η = σ.…”

Section: Preliminariesmentioning

confidence: 99%

FIXED POINT RESULT FOR a CLASS OF EXTENDED INTERPOLATIVE CIRIC-REICH-RUS (Α, Β, ΓF)-Type CONTRACTIONS ON UNIFORM SPACES

Paul¹,

Tiwary²,

Sarkar³

2023

SEAJMMS

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In this paper we have generalized the extended interpolative Ciric- Reich-Rus type ψF-contraction given in [22] by introducing extended interpolative Ciric-Reich-Rus type (α, β, γF) of type-I and type-II contractions. Using these type contractions we have established some unique fixed point results in S-complete Hausdorff uniform spaces. We have discussed about some basic definitions, properties, lemmas and theorems on uniform spaces in the introduction and preliminary sections. Some corollaries and examples are also given on the basis of the results.

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Section: Preliminariesmentioning

confidence: 99%

FIXED POINT RESULT FOR a CLASS OF EXTENDED INTERPOLATIVE CIRIC-REICH-RUS (Α, Β, ΓF)-Type CONTRACTIONS ON UNIFORM SPACES

Paul¹,

Tiwary²,

Sarkar³

2023

SEAJMMS

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“…Altun and Imdad proved fixed point theorems using a partial ordering in uniform spaces [3]. Ozturk and Turkoglu and Ozturk and Ansari gived some generalized results in ordered uniform spaces [4,5]. Recently, Olisama et.al.…”

Section: Letmentioning

confidence: 99%

Geraghty Contractions in Ordered Uniform Spaces

Ozturk

2019

Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Banach contraction principle is first and most essential result in the fixed point theory. There are many generalisations of this principle in the literature. One of them is Geraghty contraction. In this work, Geraghty type contraction was defined via E-distance and common fixed point theorems were proved for two mappings satisfying Geraghty type contraction in ordered uniform spaces. Also, some results of these theorems were obtained.

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Fixed-Point Theorems Based Evaluation of Analytical Solution in Fractional Diffusion Equations

Malathi,

Chelliah

2024

Trends in Mathematics

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Fixed point theorems for ( F,\psi ,\varphi )-contractions on ordered S-Complete Hausdorff uniform spaces

Abstract: Abstract:The aim of this paper is to proved some new fixed point theorems for (F, ψ, ϕ) −weak contractions on ordered S-complete Hausdorff uniform spaces. Our results extend existing results in the literature.

Cited by 3 publications

References 6 publications

FIXED POINT RESULT FOR a CLASS OF EXTENDED INTERPOLATIVE CIRIC-REICH-RUS (Α, Β, ΓF)-Type CONTRACTIONS ON UNIFORM SPACES

FIXED POINT RESULT FOR a CLASS OF EXTENDED INTERPOLATIVE CIRIC-REICH-RUS (Α, Β, ΓF)-Type CONTRACTIONS ON UNIFORM SPACES

Geraghty Contractions in Ordered Uniform Spaces

Fixed-Point Theorems Based Evaluation of Analytical Solution in Fractional Diffusion Equations

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