Well-posed fixed point results and data dependence problems in controlled metric spaces

D. Sagheer; S. Batul; A. Daim; A. Saghir; H. Aydi; S. Mansour; W. Kallel

doi:10.1186/s13660-023-03062-5

Well-posed fixed point results and data dependence problems in controlled metric spaces

D. Sagheer, S. Batul, A. Daim, A. Saghir, H. Aydi^*, S. Mansour, W. Kallel

^*Corresponding author for this work

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

Abstract

The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type multivalued nonlinear operators have been introduced employing auxiliary functions, modifying a new contractive requirement form. Well-posedness of obtained fixed point results is also established. Moreover, data dependence result for fixed points is provided. Some supporting examples are also available for better perception. Many existing results in the literature are particular cases of the results established.

Original language	English
Article number	31
Journal	Journal of Inequalities and Applications
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1186/s13660-023-03062-5
Publication status	Published - Dec 2024
Externally published	Yes

Keywords

Auxiliary functions
Controlled metric spaces (CMSs)
Data dependence result
Strict fixed points (SFPs)
Well-posedness

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10.1186/s13660-023-03062-5

Cite this

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abstract = "The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type multivalued nonlinear operators have been introduced employing auxiliary functions, modifying a new contractive requirement form. Well-posedness of obtained fixed point results is also established. Moreover, data dependence result for fixed points is provided. Some supporting examples are also available for better perception. Many existing results in the literature are particular cases of the results established.",

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AU - Sagheer, D.

AU - Batul, S.

AU - Daim, A.

AU - Saghir, A.

AU - Aydi, H.

AU - Mansour, S.

AU - Kallel, W.

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/12

Y1 - 2024/12

N2 - The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type multivalued nonlinear operators have been introduced employing auxiliary functions, modifying a new contractive requirement form. Well-posedness of obtained fixed point results is also established. Moreover, data dependence result for fixed points is provided. Some supporting examples are also available for better perception. Many existing results in the literature are particular cases of the results established.

AB - The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type multivalued nonlinear operators have been introduced employing auxiliary functions, modifying a new contractive requirement form. Well-posedness of obtained fixed point results is also established. Moreover, data dependence result for fixed points is provided. Some supporting examples are also available for better perception. Many existing results in the literature are particular cases of the results established.

KW - Auxiliary functions

KW - Controlled metric spaces (CMSs)

KW - Data dependence result

KW - Strict fixed points (SFPs)

KW - Well-posedness

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JO - Journal of Inequalities and Applications

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ER -

Well-posed fixed point results and data dependence problems in controlled metric spaces

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Keywords

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