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- W4385428297 abstract "UDC 517.5 We examine the existence of fixed points of generalized <mml:math> <mml:mrow> <mml:mi>α</mml:mi> </mml:mrow> </mml:math>-nonexpansive mappings on <mml:math> <mml:mrow> <mml:mi>C</mml:mi> <mml:mi>ker</mml:mi> <mml:mi>n</mml:mi> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> <mml:mi>p</mml:mi> <mml:mi>t</mml:mi> <mml:mi>A</mml:mi> <mml:msub> <mml:mi>T</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:mrow> <mml:mo form=prefix>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo form=postfix>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> spaces. We establish various convergence results for a newly defined algorithm associated with <mml:math> <mml:mrow> <mml:mi>α</mml:mi> </mml:mrow> </mml:math>-nonexpansive mappings. We present some illustrative examples to show the efficiency of the proposed algorithm and to support the above-mentioned results. We also define monotone generalized <mml:math> <mml:mrow> <mml:mi>α</mml:mi> </mml:mrow> </mml:math>-nonexpansive mappings and prove some existence and convergence results for these mappings." @default.
- W4385428297 created "2023-08-01" @default.
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- W4385428297 date "2023-07-25" @default.
- W4385428297 modified "2023-10-18" @default.
- W4385428297 title "Monotone generalized <mml:math> <mml:mrow> <mml:mi>α</mml:mi> </mml:mrow> </mml:math>-nonexpansive mappings on <mml:math> <mml:mrow> <mml:mi>C</mml:mi> <mml:mi>ker</mml:mi> <mml:mi>n</mml:mi> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> <mml:mi>p</mml:mi> <mml:mi>t</mml:mi> <mml:mi>A</mml:mi> <mml:msub> <mml:mi>T</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:mrow> <mml:mo form=prefix>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo form=postfix>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> spaces" @default.
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- W4385428297 doi "https://doi.org/10.37863/umzh.v75i7.7188" @default.
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