HYBRID STEEPEST-DESCENT METHOD WITH SEQUENTIAL AND FUNCTIONAL ERRORS IN BANACH SPACE

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SAEIDI SHAHRAM; HAYDARI HUSSEIN

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Journal Paper

Paper Information

Journal: Bulletin of the Iranian Mathematical Society Year:2013 | Volume:39 | Issue:4 Page(s): 599-617

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Information Journal Paper

Title

HYBRID STEEPEST-DESCENT METHOD WITH SEQUENTIAL AND FUNCTIONAL ERRORS IN BANACH SPACE

Author(s)

SAEIDI SHAHRAM | HAYDARI HUSSEIN | Issue Writer Certificate

Keywords

FIXED POINT

HYBRID STEEPEST-DESCENT METHOD

NONEXPANSIVE MAPPING

VARIATIONAL INEQUALITY

Abstract

Let X be a reflexive Banach space, T: X®X a NONEXPANSIVE MAPPING with C=Fix (T) ¹ Æ; and F: X®X d-strongly accretive and l-strictly pseudocontractive with d+l>1. In this paper, we present modified HYBRID STEEPEST-DESCENT METHODs involving sequential and functional errors with functions admitting a center which generate convergent sequences to the unique solution of the VARIATIONAL INEQUALITY V I* (F, C). We also present similar results for a strongly monotone and Lipschitzian operator in the context of a Hilbert space and apply the results for solving a minimization problem.

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APA: Copy

SAEIDI, SHAHRAM, & HAYDARI, HUSSEIN. (2013). HYBRID STEEPEST-DESCENT METHOD WITH SEQUENTIAL AND FUNCTIONAL ERRORS IN BANACH SPACE. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 39(4), 599-617. SID. https://sid.ir/paper/637829/en

Vancouver: Copy

SAEIDI SHAHRAM, HAYDARI HUSSEIN. HYBRID STEEPEST-DESCENT METHOD WITH SEQUENTIAL AND FUNCTIONAL ERRORS IN BANACH SPACE. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2013;39(4):599-617. Available from: https://sid.ir/paper/637829/en

IEEE: Copy

SHAHRAM SAEIDI, and HUSSEIN HAYDARI, “HYBRID STEEPEST-DESCENT METHOD WITH SEQUENTIAL AND FUNCTIONAL ERRORS IN BANACH SPACE,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 39, no. 4, pp. 599–617, 2013, [Online]. Available: https://sid.ir/paper/637829/en

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