Common fixed point and invariant approximation results on non-starshaped domains

Nawab Hussain; Donal O'REGAN; Ravi P. Agarwal

doi:10.1515/GMJ.2005.659

Common fixed point and invariant approximation results on non-starshaped domains

Nawab Hussain
, Donal O'REGAN
, Ravi P. Agarwal

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

21 Citations (Scopus)

Abstract

We extend the concept of R-subweakly commuting maps due to Shahzad [21] to the case of non-starshaped domains and obtain common fixed point results for this class of maps on non-starshaped domains in the setup of Fréchet spaces. As applications, we establish Brosowski-Meinardus type approximation theorems. Our results unify and extend the results of Al-Thagafi, Dotson, Habiniak, Jungck and Sessa, Sahab, Khan and Sessa and Shahzad.

Original language	English
Pages (from-to)	659-669
Number of pages	11
Journal	Georgian Mathematical Journal
Volume	12
Issue number	4
DOIs	https://doi.org/10.1515/GMJ.2005.659
Publication status	Published - 2005

Keywords

approximation results
common
Fixed point theory
invariant
non-starshaped domains

Access to Document

10.1515/GMJ.2005.659

Cite this

@article{00ea6327704d4901b1f2fd1d4f0dde88,

title = "Common fixed point and invariant approximation results on non-starshaped domains",

abstract = "We extend the concept of R-subweakly commuting maps due to Shahzad [21] to the case of non-starshaped domains and obtain common fixed point results for this class of maps on non-starshaped domains in the setup of Fr{\'e}chet spaces. As applications, we establish Brosowski-Meinardus type approximation theorems. Our results unify and extend the results of Al-Thagafi, Dotson, Habiniak, Jungck and Sessa, Sahab, Khan and Sessa and Shahzad.",

keywords = "approximation results, common, Fixed point theory, invariant, non-starshaped domains",

author = "Nawab Hussain and Donal O'REGAN and Agarwal, \{Ravi P.\}",

year = "2005",

doi = "10.1515/GMJ.2005.659",

language = "English",

volume = "12",

pages = "659--669",

journal = "Georgian Mathematical Journal",

issn = "1072-947X",

publisher = "Walter de Gruyter GmbH",

number = "4",

}

TY - JOUR

T1 - Common fixed point and invariant approximation results on non-starshaped domains

AU - Hussain, Nawab

AU - O'REGAN, Donal

AU - Agarwal, Ravi P.

PY - 2005

Y1 - 2005

N2 - We extend the concept of R-subweakly commuting maps due to Shahzad [21] to the case of non-starshaped domains and obtain common fixed point results for this class of maps on non-starshaped domains in the setup of Fréchet spaces. As applications, we establish Brosowski-Meinardus type approximation theorems. Our results unify and extend the results of Al-Thagafi, Dotson, Habiniak, Jungck and Sessa, Sahab, Khan and Sessa and Shahzad.

AB - We extend the concept of R-subweakly commuting maps due to Shahzad [21] to the case of non-starshaped domains and obtain common fixed point results for this class of maps on non-starshaped domains in the setup of Fréchet spaces. As applications, we establish Brosowski-Meinardus type approximation theorems. Our results unify and extend the results of Al-Thagafi, Dotson, Habiniak, Jungck and Sessa, Sahab, Khan and Sessa and Shahzad.

KW - approximation results

KW - common

KW - Fixed point theory

KW - invariant

KW - non-starshaped domains

UR - https://www.scopus.com/pages/publications/33749535484

U2 - 10.1515/GMJ.2005.659

DO - 10.1515/GMJ.2005.659

M3 - Article

AN - SCOPUS:33749535484

SN - 1072-947X

VL - 12

SP - 659

EP - 669

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 4

ER -

Common fixed point and invariant approximation results on non-starshaped domains

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this