Some new results on stability of fixed points

S. N. Mishra; S. L. Singh; Rajendra Pant

doi:10.1016/j.chaos.2012.04.001

Some new results on stability of fixed points

S. N. Mishra
, S. L. Singh
, Rajendra Pant

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

15 Citations (Scopus)

Abstract

Using some new notions of convergence, Barbet and Nachi [Barbet L, Nachi K. Sequences of contractions and convergence of fixed points. Monografias del Seminario Matemático García de Galdeano 2006;33:51-58.] obtained several interesting results on the stability of fixed points in a metric space. These results are extended to 2-metric spaces which differ topologically from metric spaces in many ways.

Original language	English
Pages (from-to)	1012-1016
Number of pages	5
Journal	Chaos, Solitons and Fractals
Volume	45
Issue number	7
DOIs	https://doi.org/10.1016/j.chaos.2012.04.001
Publication status	Published - Jul 2012
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2012.04.001

Cite this

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title = "Some new results on stability of fixed points",

abstract = "Using some new notions of convergence, Barbet and Nachi [Barbet L, Nachi K. Sequences of contractions and convergence of fixed points. Monografias del Seminario Matem{\'a}tico Garc{\'i}a de Galdeano 2006;33:51-58.] obtained several interesting results on the stability of fixed points in a metric space. These results are extended to 2-metric spaces which differ topologically from metric spaces in many ways.",

author = "Mishra, \{S. N.\} and Singh, \{S. L.\} and Rajendra Pant",

year = "2012",

month = jul,

doi = "10.1016/j.chaos.2012.04.001",

language = "English",

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AU - Mishra, S. N.

AU - Singh, S. L.

AU - Pant, Rajendra

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AB - Using some new notions of convergence, Barbet and Nachi [Barbet L, Nachi K. Sequences of contractions and convergence of fixed points. Monografias del Seminario Matemático García de Galdeano 2006;33:51-58.] obtained several interesting results on the stability of fixed points in a metric space. These results are extended to 2-metric spaces which differ topologically from metric spaces in many ways.

UR - https://www.scopus.com/pages/publications/84860600355

U2 - 10.1016/j.chaos.2012.04.001

DO - 10.1016/j.chaos.2012.04.001

M3 - Article

AN - SCOPUS:84860600355

SN - 0960-0779

VL - 45

SP - 1012

EP - 1016

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 7

ER -

Some new results on stability of fixed points

Abstract

ASJC Scopus subject areas

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