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-Reference-Cited by-同舟云学术

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

Published:2023 Issue:3 Volume:8 Page:7225-7241
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Rezazgui Amina-Zahra¹,Tallafha Abdalla Ahmad¹,Shatanawi Wasfi²³⁴

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Jordan, Amman, Jordan

2. Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia

3. Medical Research, China Medical University Hospital, China Medical University, Taichung

4. Department of Mathematics, Faculty of Science, Hashemite University, Zarqa, Jordan

Abstract

<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>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference30 articles.

1. K. Abodayeh, T. Qawasmeh, W. Shatanawi, A. Tallafha, $\epsilon_{\varphi}$-contraction and some fixed point results via modified $\omega$-distance mappings in the frame of complete quasi metric spaces and applications, Int. J. Electr. Comput. Eng., 10 (2020), 3839–3853. https://doi.org/10.11591/ijece.v10i4.pp3839-3853

2. I. Abu-Irwaq, W. Shatanawi, A. Bataihah, I. Nuseir, Fixed point results for nonlinear contractions with generalized $\Omega$-distance mappings, UPB Sci. Bull. Ser. A, 81 (2019), 57–64.

3. G. Akinbo, M. O. Olatinwo, A. O. Bosede, A note on $A$-contractions and common fixed points, Acta Univ. Apulensis, 23 (2010), 91–98.

4. M. Akram, A. A. Siddiqui, A fixed point theorem for $A$-contraction on a class of generalized metric spaces, Korean J. Math Sci., 10 (2003), 1–15.

5. M. Akram, A. A. Zafar, A. A. Siddiqui, A general class of contractions: $A$-contractions, Novi Sad J. Math., 38 (2008), 25–33.

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