Remarks on ”some new fixed point theorems for contractive and nonexpansive mappings”

Rajendra Pant; Hemant Kumar Nashine; Zoran Kadelburg

doi:10.2298/FIL1720483P

Remarks on ”some new fixed point theorems for contractive and nonexpansive mappings”

Rajendra Pant, Hemant Kumar Nashine, Zoran Kadelburg

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

Abstract

Pant [Filomat 28 (2014), no. 2, 313–317] obtained some fixed point results in ultrametric spaces. Unfortunately, the proofs of main results had flaws. We present corrected proofs of his theorems for single valued mappings and correct formulations and proofs in the multivalued case.

Original language	English
Pages (from-to)	6483-6491
Number of pages	9
Journal	Filomat
Volume	31
Issue number	20
DOIs	https://doi.org/10.2298/FIL1720483P
Publication status	Published - 2017
Externally published	Yes

Keywords

Contractive mappings
Nonexpansive mappings
Spherical completeness
Ultrametric spaces

ASJC Scopus subject areas

General Mathematics

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10.2298/FIL1720483P

Cite this

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title = "Remarks on ”some new fixed point theorems for contractive and nonexpansive mappings”",

abstract = "Pant [Filomat 28 (2014), no. 2, 313–317] obtained some fixed point results in ultrametric spaces. Unfortunately, the proofs of main results had flaws. We present corrected proofs of his theorems for single valued mappings and correct formulations and proofs in the multivalued case.",

keywords = "Contractive mappings, Nonexpansive mappings, Spherical completeness, Ultrametric spaces",

author = "Rajendra Pant and Nashine, {Hemant Kumar} and Zoran Kadelburg",

year = "2017",

doi = "10.2298/FIL1720483P",

language = "English",

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AU - Pant, Rajendra

AU - Nashine, Hemant Kumar

AU - Kadelburg, Zoran

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N2 - Pant [Filomat 28 (2014), no. 2, 313–317] obtained some fixed point results in ultrametric spaces. Unfortunately, the proofs of main results had flaws. We present corrected proofs of his theorems for single valued mappings and correct formulations and proofs in the multivalued case.

AB - Pant [Filomat 28 (2014), no. 2, 313–317] obtained some fixed point results in ultrametric spaces. Unfortunately, the proofs of main results had flaws. We present corrected proofs of his theorems for single valued mappings and correct formulations and proofs in the multivalued case.

KW - Contractive mappings

KW - Nonexpansive mappings

KW - Spherical completeness

KW - Ultrametric spaces

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U2 - 10.2298/FIL1720483P

DO - 10.2298/FIL1720483P

M3 - Article

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SN - 0354-5180

VL - 31

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EP - 6491

JO - Filomat

JF - Filomat

IS - 20

ER -

Remarks on ”some new fixed point theorems for contractive and nonexpansive mappings”

Abstract

Keywords

ASJC Scopus subject areas

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