∈φ-contraction and some fixed point results via modified ω-distance mappings in the frame of complete quasi metric spaces and applications

Abodayeh, Kamaleldin; Qawasmeh, Tariq; Shatanawi, Wasfı; Tallafha, Abdalla

doi:10.11591/ijece.v10i4.pp3839-3853

Cited by 2 publications

(1 citation statement)

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“…Te result of Banach [1] is considered a principle in the theory of the fxed point. After that, many generalizations of this result were obtained by many researchers, see [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. For example, Berinde [21] introduced the weak contraction as follows.…”

Section: Introductionmentioning

confidence: 99%

N^th Composite Iterative Scheme via Weak Contractions with Application

Qawasmeh,

Bataihah,

Bataihah

et al. 2023

International Journal of Mathematics and Mathematical Sciences

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The main goal of this study is to formulate an effective iterative scheme, namely, an n t h − composite iterative scheme for approximating the fixed point of a self-map T : U ⟶ U with weak contraction property. We show that the n t h − composite iterative scheme is faster than the scheme obtained by Sintunavarat–Pitea’s iterative scheme. We present some examples using the MATLAB simulator to illustrate our results. Finally, we approximate the solution of some integral equations using our scheme and the Sintunavarat–Pitea scheme.

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Section: Introductionmentioning

confidence: 99%

N^th Composite Iterative Scheme via Weak Contractions with Application

Qawasmeh,

Bataihah,

Bataihah

et al. 2023

International Journal of Mathematics and Mathematical Sciences

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Common fixed point results via $ \mathcal{A}_{\vartheta} $-$ \alpha $-contractions with a pair and two pairs of self-mappings in the frame of an extended quasi $ b $-metric space

Rezazgui

Tallafha

Shatanawi

2023

MATH

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<abstract><p>In this paper, we take advantage of implicit relationships to come up with a new concept called "$ \mathcal{A}_{\vartheta} $-$ \alpha $-contraction mapping". We utilized our new notion to formulate and prove some common fixed point theorems for two and four self-mappings over complete extended quasi $ b $-metric spaces under a set of conditions. Our main results widen and improve many existing results in the literature. To support our research, we present some examples as applications to our main findings.</p></abstract>

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∈φ-contraction and some fixed point results via modified ω-distance mappings in the frame of complete quasi metric spaces and applications

Abstract: In this Article, we introduce the notion of an ∈φ-contraction which based on modified ω-distance mappings and employ this new definition to prove some fixed point result. Moreover, we introduced an interesting example and an application to highlight the importance of our work.

Cited by 2 publications

References 23 publications

N^th Composite Iterative Scheme via Weak Contractions with Application

N^th Composite Iterative Scheme via Weak Contractions with Application

Common fixed point results via $ \mathcal{A}_{\vartheta} $-$ \alpha $-contractions with a pair and two pairs of self-mappings in the frame of an extended quasi $ b $-metric space

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∈φ-contraction and some fixed point results via modified ω-distance mappings in the frame of complete quasi metric spaces and applications

Abstract: In this Article, we introduce the notion of an ∈φ-contraction which based on modified ω-distance mappings and employ this new definition to prove some fixed point result. Moreover, we introduced an interesting example and an application to highlight the importance of our work.

Cited by 2 publications

References 23 publications

Nth Composite Iterative Scheme via Weak Contractions with Application

Nth Composite Iterative Scheme via Weak Contractions with Application

Common fixed point results via $ \mathcal{A}_{\vartheta} $-$ \alpha $-contractions with a pair and two pairs of self-mappings in the frame of an extended quasi $ b $-metric space

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Resources

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N^th Composite Iterative Scheme via Weak Contractions with Application

N^th Composite Iterative Scheme via Weak Contractions with Application