### Abstract

A common fixed point theorem of Jungck [G. Jungck, On a fixed point theorem of fisher and sessa, Internat. J. Math. Math. Sci., 13 (3) (1990) 497-500] is generalized to locally convex spaces and the new result is applied to extend a result on best approximation.

Original language | English |
---|---|

Pages (from-to) | 121-127 |

Number of pages | 7 |

Journal | Applied Mathematics Letters |

Volume | 23 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 2010 |

### Fingerprint

### Keywords

- Best approximation
- Demiclosed mapping
- Fixed point
- Locally convex space
- Nonexpansive mapping

### ASJC Scopus subject areas

- Applied Mathematics

### Cite this

*Applied Mathematics Letters*,

*23*(2), 121-127. https://doi.org/10.1016/j.aml.2009.06.025

**An application of fixed point theorem to best approximation in locally convex space.** / Nashine, Hemant Kumar; Khan, Mohammad Saeed.

Research output: Contribution to journal › Article

*Applied Mathematics Letters*, vol. 23, no. 2, pp. 121-127. https://doi.org/10.1016/j.aml.2009.06.025

}

TY - JOUR

T1 - An application of fixed point theorem to best approximation in locally convex space

AU - Nashine, Hemant Kumar

AU - Khan, Mohammad Saeed

PY - 2010/2

Y1 - 2010/2

N2 - A common fixed point theorem of Jungck [G. Jungck, On a fixed point theorem of fisher and sessa, Internat. J. Math. Math. Sci., 13 (3) (1990) 497-500] is generalized to locally convex spaces and the new result is applied to extend a result on best approximation.

AB - A common fixed point theorem of Jungck [G. Jungck, On a fixed point theorem of fisher and sessa, Internat. J. Math. Math. Sci., 13 (3) (1990) 497-500] is generalized to locally convex spaces and the new result is applied to extend a result on best approximation.

KW - Best approximation

KW - Demiclosed mapping

KW - Fixed point

KW - Locally convex space

KW - Nonexpansive mapping

UR - http://www.scopus.com/inward/record.url?scp=70449518290&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70449518290&partnerID=8YFLogxK

U2 - 10.1016/j.aml.2009.06.025

DO - 10.1016/j.aml.2009.06.025

M3 - Article

AN - SCOPUS:70449518290

VL - 23

SP - 121

EP - 127

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

IS - 2

ER -