ON EXTENDED b-METRIC SPACES: RELAXING COMPLETENESS CRITERION AND EXPLORING BEHAVIOR

Nof T. Alharbi; Tawseef Rashid; M. M.M. Jaradat; İnci M. Erhan; Hassen Aydi

doi:10.54379/jma-2024-3-1

ON EXTENDED b-METRIC SPACES: RELAXING COMPLETENESS CRITERION AND EXPLORING BEHAVIOR

Nof T. Alharbi, Tawseef Rashid, M. M.M. Jaradat, İnci M. Erhan, Hassen Aydi

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

Abstract

In this study, we demonstrate that fixed points can occur in extended b-metric spaces that are not necessarily complete. We must employ a novel form of contraction conditions in order to relax the completeness cri-terion. It has been investigated how fixed points behave in both partially complete and orbitally complete spaces. We provide some instances to high-light our findings.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Journal of Mathematical Analysis
Volume	15
Issue number	3
DOIs	https://doi.org/10.54379/jma-2024-3-1
Publication status	Published - 2024
Externally published	Yes

Keywords

Bourgain spaces
KdV equation
local smoothing effect

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10.54379/jma-2024-3-1

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abstract = "In this study, we demonstrate that fixed points can occur in extended b-metric spaces that are not necessarily complete. We must employ a novel form of contraction conditions in order to relax the completeness cri-terion. It has been investigated how fixed points behave in both partially complete and orbitally complete spaces. We provide some instances to high-light our findings.",

keywords = "Bourgain spaces, KdV equation, local smoothing effect",

author = "Alharbi, {Nof T.} and Tawseef Rashid and Jaradat, {M. M.M.} and Erhan, {İnci M.} and Hassen Aydi",

note = "Publisher Copyright: {\textcopyright} 2024 Ilirias Research Institute, Prishtin{\"e}, Kosov{\"e}.",

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doi = "10.54379/jma-2024-3-1",

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T2 - RELAXING COMPLETENESS CRITERION AND EXPLORING BEHAVIOR

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AU - Rashid, Tawseef

AU - Jaradat, M. M.M.

AU - Erhan, İnci M.

AU - Aydi, Hassen

PY - 2024

Y1 - 2024

N2 - In this study, we demonstrate that fixed points can occur in extended b-metric spaces that are not necessarily complete. We must employ a novel form of contraction conditions in order to relax the completeness cri-terion. It has been investigated how fixed points behave in both partially complete and orbitally complete spaces. We provide some instances to high-light our findings.

AB - In this study, we demonstrate that fixed points can occur in extended b-metric spaces that are not necessarily complete. We must employ a novel form of contraction conditions in order to relax the completeness cri-terion. It has been investigated how fixed points behave in both partially complete and orbitally complete spaces. We provide some instances to high-light our findings.

KW - Bourgain spaces

KW - KdV equation

KW - local smoothing effect

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JO - Journal of Mathematical Analysis

JF - Journal of Mathematical Analysis

IS - 3

ER -

ON EXTENDED b-METRIC SPACES: RELAXING COMPLETENESS CRITERION AND EXPLORING BEHAVIOR

Abstract

Keywords

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