Strong convergence theorems for a common fixed point of a finite family of pseudocontractive mappings

O. A. Daman; H. Zegeye

doi:10.1155/2012/405315

Strong convergence theorems for a common fixed point of a finite family of pseudocontractive mappings

O. A. Daman, H. Zegeye

Mathematics & Statistical Sciences

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

8 Citations (Scopus)

Abstract

It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings.

Original language	English
Article number	405315
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2012
DOIs	https://doi.org/10.1155/2012/405315
Publication status	Published - Oct 29 2012

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Access to Document

10.1155/2012/405315

Cite this

@article{9f14c9d6e14e4a8b9ad6e300d2fcb0e9,

title = "Strong convergence theorems for a common fixed point of a finite family of pseudocontractive mappings",

abstract = "It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings.",

author = "Daman, {O. A.} and H. Zegeye",

year = "2012",

month = oct,

day = "29",

doi = "10.1155/2012/405315",

language = "English",

volume = "2012",

journal = "International Journal of Mathematics and Mathematical Sciences",

issn = "0161-1712",

publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Strong convergence theorems for a common fixed point of a finite family of pseudocontractive mappings

AU - Daman, O. A.

AU - Zegeye, H.

PY - 2012/10/29

Y1 - 2012/10/29

N2 - It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings.

AB - It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings.

UR - http://www.scopus.com/inward/record.url?scp=84867813321&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867813321&partnerID=8YFLogxK

U2 - 10.1155/2012/405315

DO - 10.1155/2012/405315

M3 - Article

AN - SCOPUS:84867813321

SN - 0161-1712

VL - 2012

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

M1 - 405315

ER -

Strong convergence theorems for a common fixed point of a finite family of pseudocontractive mappings

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this