Hybrid fixed point results via generalized dynamic process for F-HRS type contractions with application

Ali, Amjad; Uddin, Fahim; Arshad, Muhammad; Rashid, Maliha

doi:10.1016/j.physa.2019.122669

Cited by 17 publications

(7 citation statements)

References 14 publications

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“…Owing to (F i ) and ( 11), clearly, we conclude that every F-contraction Υ is a contractive mapping. Consequently, every F-contraction is a continuous mapping (see more [13]).…”

Section: Lemma 1 Let a And B Be Nonempty Proximal Subsets Of A Metric...mentioning

confidence: 99%

Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC‐Contractions with Applications

et al. 2022

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This article constitutes the new fixed point results of dynamic process D(ϒ, μ0) through FIC-integral contractions of the Ciric kind and investigates the said contraction to iterate a fixed point of set-valued mappings in the module of metric space. To do so, we use the dynamic process instead of the conventional Picard sequence. The main results are examined by tangible nontrivial examples which display the motivation for such investigation. The work is completed by giving an application to Liouville‐Caputo fractional differential equations.

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“…Owing to (F i ) and ( 11), clearly, we conclude that every F-contraction Υ is a contractive mapping. Consequently, every F-contraction is a continuous mapping (see more [13]).…”

Section: Lemma 1 Let a And B Be Nonempty Proximal Subsets Of A Metric...mentioning

confidence: 99%

Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC‐Contractions with Applications

et al. 2022

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“…They also derived some interesting results on fixed points in this newly-defined approach. Their idea was further exploited by various authors in many ways (see, e.g., [10,11]). Definition 2.1.…”

Section: Preliminariesmentioning

confidence: 99%

A certain class of $\theta_{L}$-type non-linear operators and some related fixed point results

2022

J. Nonlinear Var. Anal.

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This paper presents a systematic investigation of an extension of the developments concerning the θ -contractions, which were proposed in 2014 by Jleli and Samet. This paper generalizes the notion of the θ -contractions to the case of non-linear θ L -contraction mappings, and prove multi-valued fixed point results in b-metric-like spaces. The paper also includes a tangible example, which displays the motivation for such investigations as those presented here. This paper is completed by giving an application of the proposed non-linear θ L -contractions to the Liouville-Caputo fractional derivatives and fractional differential equations.

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“…Assume that G 1 and G 2 are Banach spaces, β ⊂ G 1 is a state space, and H ⊂ G 2 is a decision space. For more details, see [3]. Let B(β) signify the set of all bounded real-valued functions on β.…”

Section: An Application To Dynamical Systemmentioning

confidence: 99%

“…In 2015, Khojasteh et al [2] introduced simulation function. Recently, many researchers have proved fixed point theorems for Suzuki-type (SU) mappings in metric space (see [3,4]).…”

Section: Introductionmentioning

confidence: 99%

Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications

Ali

Alansari

Uddin

et al. 2021

Journal of Mathematics

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In this article, we have designed two existence of fixed point theorems which are regarding to set-valued SU-type θ η -contraction and Γ α -contraction via gauge function in the setting of metric spaces. An extensive set of nontrivial example will be given to justify our claim. At the end, we will give an application to prove the existence behavior for the system of functional equation in dynamical system and integral inclusion.

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Hybrid fixed point results via generalized dynamic process for F-HRS type contractions with application

Cited by 17 publications

References 14 publications

Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC‐Contractions with Applications

Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC‐Contractions with Applications

A certain class of $\theta_{L}$-type non-linear operators and some related fixed point results

Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications

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