STABILITY OF FIXED POINTS FOR QUASI-CONTRACTION MAPPINGS WITH APPLICATIONS

Prashant Patel; Rajendra Pant

STABILITY OF FIXED POINTS FOR QUASI-CONTRACTION MAPPINGS WITH APPLICATIONS

Prashant Patel
, Rajendra Pant

University of Johannesburg

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

Abstract

We present some new results on stability or continuity of fixed points for quasi-contractions on variable domains in metric spaces. We also discuss a couple examples to illustrate our results. Finally, present an application of our results to integral equations.

Original language	English
Pages (from-to)	17-36
Number of pages	20
Journal	Indian Journal of Mathematics
Volume	65
Issue number	1
Publication status	Published - 2023
Externally published	Yes

Keywords

complete metric space
convergence of fixed points
stability

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "STABILITY OF FIXED POINTS FOR QUASI-CONTRACTION MAPPINGS WITH APPLICATIONS",

abstract = "We present some new results on stability or continuity of fixed points for quasi-contractions on variable domains in metric spaces. We also discuss a couple examples to illustrate our results. Finally, present an application of our results to integral equations.",

keywords = "complete metric space, convergence of fixed points, stability",

author = "Prashant Patel and Rajendra Pant",

note = "Publisher Copyright: {\textcopyright} 2023 Allahabad Mathematical Society.",

year = "2023",

language = "English",

volume = "65",

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journal = "Indian Journal of Mathematics",

issn = "0019-5324",

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T1 - STABILITY OF FIXED POINTS FOR QUASI-CONTRACTION MAPPINGS WITH APPLICATIONS

AU - Patel, Prashant

AU - Pant, Rajendra

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AB - We present some new results on stability or continuity of fixed points for quasi-contractions on variable domains in metric spaces. We also discuss a couple examples to illustrate our results. Finally, present an application of our results to integral equations.

KW - complete metric space

KW - convergence of fixed points

KW - stability

UR - https://www.scopus.com/pages/publications/85186235922

M3 - Article

AN - SCOPUS:85186235922

SN - 0019-5324

VL - 65

SP - 17

EP - 36

JO - Indian Journal of Mathematics

JF - Indian Journal of Mathematics

IS - 1

ER -

STABILITY OF FIXED POINTS FOR QUASI-CONTRACTION MAPPINGS WITH APPLICATIONS

Abstract

Keywords

ASJC Scopus subject areas

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