SOME RESULTS ON FIXED POINTS IN b-METRIC SPACES THROUGH AN AUXILIARY FUNCTION

Anwar Bataihah; Mutaz Shatnawi; Iqbal M. Batiha; Iqbal H. Jebril; Thabet Abdeljawad

doi:10.22771/nfaa.2025.30.01.15

SOME RESULTS ON FIXED POINTS IN b-METRIC SPACES THROUGH AN AUXILIARY FUNCTION

Anwar Bataihah, Mutaz Shatnawi, Iqbal M. Batiha^*, Iqbal H. Jebril, Thabet Abdeljawad

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we introduce a novel category of function that we employ to showcase a fresh set of fixed point outcomes in the context of b-metric spaces for P_φ-contractions. Furthermore, we provide several examples to elucidate our principal result. The outcomes we have obtained provide a broader scope of contraction mappings, such as the Kannan contraction, in a more general context.

Original language	English
Pages (from-to)	251-263
Number of pages	13
Journal	Nonlinear Functional Analysis and Applications
Volume	30
Issue number	1
DOIs	https://doi.org/10.22771/nfaa.2025.30.01.15
Publication status	Published - 2025
Externally published	Yes

Keywords

Fixed point
Kannan contraction
P'-contraction
b-metric

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10.22771/nfaa.2025.30.01.15

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abstract = "In this paper, we introduce a novel category of function that we employ to showcase a fresh set of fixed point outcomes in the context of b-metric spaces for Pφ-contractions. Furthermore, we provide several examples to elucidate our principal result. The outcomes we have obtained provide a broader scope of contraction mappings, such as the Kannan contraction, in a more general context.",

keywords = "Fixed point, Kannan contraction, P'-contraction, b-metric",

author = "Anwar Bataihah and Mutaz Shatnawi and Batiha, {Iqbal M.} and Jebril, {Iqbal H.} and Thabet Abdeljawad",

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AU - Batiha, Iqbal M.

AU - Jebril, Iqbal H.

AU - Abdeljawad, Thabet

PY - 2025

Y1 - 2025

N2 - In this paper, we introduce a novel category of function that we employ to showcase a fresh set of fixed point outcomes in the context of b-metric spaces for Pφ-contractions. Furthermore, we provide several examples to elucidate our principal result. The outcomes we have obtained provide a broader scope of contraction mappings, such as the Kannan contraction, in a more general context.

AB - In this paper, we introduce a novel category of function that we employ to showcase a fresh set of fixed point outcomes in the context of b-metric spaces for Pφ-contractions. Furthermore, we provide several examples to elucidate our principal result. The outcomes we have obtained provide a broader scope of contraction mappings, such as the Kannan contraction, in a more general context.

KW - Fixed point

KW - Kannan contraction

KW - P'-contraction

KW - b-metric

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DO - 10.22771/nfaa.2025.30.01.15

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ER -

SOME RESULTS ON FIXED POINTS IN b-METRIC SPACES THROUGH AN AUXILIARY FUNCTION

Abstract

Keywords

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