Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces

Nozara Sundus; Basit Ali; Maggie Aphane

doi:10.3390/math12111628

Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces

Nozara Sundus, Basit Ali^*, Maggie Aphane

^*Corresponding author for this work

Mathematics and Applied Mathematics

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

Abstract

We consider a class of metrics which are equivalent to the Hausdorff metric in some sense to establish the well-posedness of fixed point problems associated with multifunctions of metric spaces, satisfying various generalized contraction conditions. Examples are provided to justify the applicability of new results.

Original language	English
Article number	1628
Journal	Mathematics
Volume	12
Issue number	11
DOIs	https://doi.org/10.3390/math12111628
Publication status	Published - Jun 2024

Keywords

fixed point problem (FPP)
multifunction
sequentially equivalent metrics
well-posedness

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10.3390/math12111628

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title = "Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces",

abstract = "We consider a class of metrics which are equivalent to the Hausdorff metric in some sense to establish the well-posedness of fixed point problems associated with multifunctions of metric spaces, satisfying various generalized contraction conditions. Examples are provided to justify the applicability of new results.",

keywords = "fixed point problem (FPP), multifunction, sequentially equivalent metrics, well-posedness",

author = "Nozara Sundus and Basit Ali and Maggie Aphane",

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doi = "10.3390/math12111628",

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AU - Sundus, Nozara

AU - Ali, Basit

AU - Aphane, Maggie

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N2 - We consider a class of metrics which are equivalent to the Hausdorff metric in some sense to establish the well-posedness of fixed point problems associated with multifunctions of metric spaces, satisfying various generalized contraction conditions. Examples are provided to justify the applicability of new results.

AB - We consider a class of metrics which are equivalent to the Hausdorff metric in some sense to establish the well-posedness of fixed point problems associated with multifunctions of metric spaces, satisfying various generalized contraction conditions. Examples are provided to justify the applicability of new results.

KW - fixed point problem (FPP)

KW - multifunction

KW - sequentially equivalent metrics

KW - well-posedness

UR - https://www.scopus.com/pages/publications/85195775559

U2 - 10.3390/math12111628

DO - 10.3390/math12111628

M3 - Article

AN - SCOPUS:85195775559

SN - 2227-7390

VL - 12

JO - Mathematics

JF - Mathematics

IS - 11

M1 - 1628

ER -

Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces

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Keywords

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