A remark on discontinuity at fixed point

Ravindra K. Bisht; R. P. Pant

doi:10.1016/j.jmaa.2016.02.053

A remark on discontinuity at fixed point

Ravindra K. Bisht, R. P. Pant

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

67 Citations (Scopus)

Abstract

In this note we give one more solution to the open question of the existence of contractive definitions which are strong enough to generate a fixed point but which do not force the mapping to be continuous at the fixed point (R. Kannan, 1969 [9]; B.E. Rhoades, 1988 [14]).

Original language	English
Pages (from-to)	1239-1242
Number of pages	4
Journal	Journal of Mathematical Analysis and Applications
Volume	445
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2016.02.053
Publication status	Published - 15 Jan 2017
Externally published	Yes

Keywords

(ϵ−δ) contractions
Fixed point
ϕ-contractions

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2016.02.053

Cite this

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title = "A remark on discontinuity at fixed point",

abstract = "In this note we give one more solution to the open question of the existence of contractive definitions which are strong enough to generate a fixed point but which do not force the mapping to be continuous at the fixed point (R. Kannan, 1969 [9]; B.E. Rhoades, 1988 [14]).",

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AU - Pant, R. P.

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AB - In this note we give one more solution to the open question of the existence of contractive definitions which are strong enough to generate a fixed point but which do not force the mapping to be continuous at the fixed point (R. Kannan, 1969 [9]; B.E. Rhoades, 1988 [14]).

KW - (ϵ−δ) contractions

KW - Fixed point

KW - ϕ-contractions

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M3 - Article

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JF - Journal of Mathematical Analysis and Applications

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ER -

A remark on discontinuity at fixed point

Abstract

Keywords

ASJC Scopus subject areas

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