STRONG CONVERGENCE THEOREMS FOR STRICTLY ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS IN HILBERT SPACES

Gurucharan Singh Saluja; Hemant Kumar Nashine

doi:10.22342/jims.16.1.29.25-38

Gurucharan Singh Saluja ⁽¹⁾ , Hemant Kumar Nashine ⁽²⁾

(1) Department of Mathematics & Information Technology, Govt. Nagarjuna, India,

(2) Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, India

https://doi.org/10.22342/jims.16.1.29.25-38

Issue
Volume 16 Number 1 (April 2010)

Submitted
April 28, 2012

Accepted
April 28, 2012

Published
August 5, 2010

Keywords:

CQ-iteration, strictly asymptotically pseudo-contractive mapping, common ¯xed point, implicit iteration, strong convergence, Hilbert space.

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Abstract

We propose a new (CQ) algorithm for strictly asymptotically pseudo-contractive mappings and obtain a strong convergence theorem for this class ofmappings in the framework of Hilbert spaces.

DOI : http://dx.doi.org/10.22342/jims.16.1.29.25-38

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Authors

Gurucharan Singh Saluja

Department of Mathematics & Information Technology, Govt. Nagarjuna

penulis@jims-a.org (Primary Contact)

Hemant Kumar Nashine

Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud

Saluja, G. S., & Nashine, H. K. (2010). STRONG CONVERGENCE THEOREMS FOR STRICTLY ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS IN HILBERT SPACES. Journal of the Indonesian Mathematical Society, 16(1), 25–38. https://doi.org/10.22342/jims.16.1.29.25-38