On Some New Jungck–Fisher–Wardowski Type Fixed Point Results

Vujaković, Jelena; Ljajko, Eugen; Radojević, Slobodan; Radenović, Stojan

doi:10.3390/sym12122048

Cited by 8 publications

(7 citation statements)

References 25 publications

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“…For more synthesis on the results based on 𭟋−contractions, we refer the reader to the informative and notable articles [10,11,16,17,18,19,20,21,22,24,26,29,30,31,32,33,34].…”

Section: Definition 13 ([33]mentioning

confidence: 99%

Some critical remarks on recent results concerning $\digamma-$contractions in $b$-metric spaces

Younis

Mirkov

Savić

et al. 2023

Cubo

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This paper aims to correct recent results on a generalized class of $\digamma-$contractions in the context of $b-$metric spaces. The significant work consists of repairing some novel results involving $\digamma-$contraction within the structure of $b$-metric spaces. Our objective is to take advantage of the property $(F1)$ instead of the four properties viz. $(F1)$, $(F2)$, $(F3)$ and $(F4)$ applied in the results of Nazam \textit{et al.} [``Coincidence and common fixed point theorems for four mappings satisfying $(\alpha_s,F)-$contraction", Nonlinear Anal: Model. Control., vol. 23, no. 5, pp. 664--690, 2018]. Our approach of proving the results utilizing only the condition $(F1)$ enriches, improves, and condenses the proofs of a multitude of results in the existing state-of-art.

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“…For more synthesis on the results based on 𭟋−contractions, we refer the reader to the informative and notable articles [10,11,16,17,18,19,20,21,22,24,26,29,30,31,32,33,34].…”

Section: Definition 13 ([33]mentioning

confidence: 99%

Some critical remarks on recent results concerning $\digamma-$contractions in $b$-metric spaces

Younis

Mirkov

Savić

et al. 2023

Cubo

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“…The new concept of α-type F -contractive mappings, which are essentially weaker than the class of F -contractive mappings as in [18], was presented in 2016 by Gopal et al [19]. Few authors have investigated fixed-point theorems for (α-F )-contractive on some complete metric spaces [19][20][21][22]; moreover, a new Wardowski-type fixed-point result was illustrated in [23]. The concept of Θ-contractive was introduced by Jleli [24], and they established a generalization of the Banach fixed-point theorem in the situation of Branciari metric spaces.…”

Section: Introductionmentioning

confidence: 99%

New Contractive Mappings and Solutions to Boundary-Value Problems in Triple Controlled Metric Type Spaces

Azmi

2022

Symmetry

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In this study, we utilize a notion of triple-controlled, metric-type spaces that preserves the symmetry property, which is a generalization of b-metric-type spaces, to prove new fixed-point results. We introduce (α-F)-contractive mappings and Θ-contractive mappings on triple-controlled, metric-type space settings. Then, we establish the existence and uniqueness of fixed-point results on complete triple-controlled, metric-type spaces. Moreover, some examples and applications to boundary-value problems of the fourth-order differential equation are presented to display the usage of the obtained result.

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“…Authors in [22] take (F1) of [21] and (F3') of [18] and denote the class of functions satisfying (F1) and (F3') by F . For more new results in this subject see [16,[23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Some New Results on F-Contractions in 0-Complete Partial Metric Spaces and 0-Complete Metric-Like Spaces

Radenović

Mirkov

Paunović³

2021

Fractal Fract

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Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding the F-contractions in complete, ordinary metric space to 0-complete partial metric space and 0-complete metric-like space. As Popescu and Stan we use less conditions than D. Wardovski did in his paper from 2012, and we introduce, with the help of one of our lemmas, a new method of proving the results in fixed point theory. Requiring that the function F only be strictly increasing, we obtain for consequence new families of contractive conditions that cannot be found in the existing literature. Note that our results generalize and complement many well-known results in the fixed point theory. Also, at the end of the paper, we have stated an application of our theoretical results for solving fractional differential equations.

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On Some New Jungck–Fisher–Wardowski Type Fixed Point Results

Cited by 8 publications

References 25 publications

Some critical remarks on recent results concerning $\digamma-$contractions in $b$-metric spaces

Some critical remarks on recent results concerning $\digamma-$contractions in $b$-metric spaces

New Contractive Mappings and Solutions to Boundary-Value Problems in Triple Controlled Metric Type Spaces

Some New Results on F-Contractions in 0-Complete Partial Metric Spaces and 0-Complete Metric-Like Spaces

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