Fixed points of (ϵ − δ) nonexpansive mappings

R. P. Pant

doi:10.2298/FIL2409995P

Fixed points of (ϵ − δ) nonexpansive mappings

R. P. Pant

Dalhousie Villa Compound

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

Abstract

We obtain fixed point theorems for nonexpansive mappings by employing a new (ϵ, δ) condition. Our results contain the well-known fixed point theorems due to Meir and Keeler, and Banach as particular cases. The fixed-point sets and domains of the mappings satisfying our theorems have interesting algebraic, geometric and dynamical features. Various examples substantiate our results.

Original language	English
Pages (from-to)	2995-3000
Number of pages	6
Journal	Filomat
Volume	38
Issue number	9
DOIs	https://doi.org/10.2298/FIL2409995P
Publication status	Published - 2024
Externally published	Yes

Keywords

cardinality
Contraction mappings
eventual fixed points
fixed points
non-expansive mappings

ASJC Scopus subject areas

General Mathematics

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10.2298/FIL2409995P

Cite this

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abstract = "We obtain fixed point theorems for nonexpansive mappings by employing a new (ϵ, δ) condition. Our results contain the well-known fixed point theorems due to Meir and Keeler, and Banach as particular cases. The fixed-point sets and domains of the mappings satisfying our theorems have interesting algebraic, geometric and dynamical features. Various examples substantiate our results.",

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AB - We obtain fixed point theorems for nonexpansive mappings by employing a new (ϵ, δ) condition. Our results contain the well-known fixed point theorems due to Meir and Keeler, and Banach as particular cases. The fixed-point sets and domains of the mappings satisfying our theorems have interesting algebraic, geometric and dynamical features. Various examples substantiate our results.

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KW - Contraction mappings

KW - eventual fixed points

KW - fixed points

KW - non-expansive mappings

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DO - 10.2298/FIL2409995P

M3 - Article

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Fixed points of (ϵ − δ) nonexpansive mappings

Abstract

Keywords

ASJC Scopus subject areas

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