Convergence to a Common Fixed Point of a Finite Family of Generalized Asymptotically Nonexpansive Mappings

H. Zegeye; N. Shahzad; O. A. Daman

doi:10.1007/s40840-014-0099-4

Convergence to a Common Fixed Point of a Finite Family of Generalized Asymptotically Nonexpansive Mappings

H. Zegeye
, N. Shahzad
, O. A. Daman

Mathematics & Statistical Sciences

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

2 Citations (Scopus)

Abstract

We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.

Original language	English
Pages (from-to)	1439-1451
Number of pages	13
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	38
Issue number	4
DOIs	https://doi.org/10.1007/s40840-014-0099-4
Publication status	Published - Oct 9 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s40840-014-0099-4

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abstract = "We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.",

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AU - Zegeye, H.

AU - Shahzad, N.

AU - Daman, O. A.

PY - 2015/10/9

Y1 - 2015/10/9

N2 - We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.

AB - We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.

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UR - https://www.scopus.com/pages/publications/84941089682#tab=citedBy

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JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

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Convergence to a Common Fixed Point of a Finite Family of Generalized Asymptotically Nonexpansive Mappings

Abstract

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