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STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACE(Nonlinear Analysis and Convex Analysis)

Jong‐Yeoul Park

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Abstract

Jcn_{\vee}\circ$ -Yeoul ParkAB $\backslash \sim TRA(\grave{\lrcorner}\uparrow$ .$LV\rho$ prov $\rho$ for a noIi expansive mapping $T$ that under certain conditions tlte stron g $\lim_{iarrow 1^{-}}G_{t}(x)$ pxists and is a $A_{XP}d$ point $oiT,$ $wher^{\rho}G_{t}(x)=(1-x+tTG_{\ell}\langle x)$ .$0\leq t<1$ .

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Jcn_{\vee}\circ$ -Yeoul ParkAB $\backslash \sim TRA(\grave{\lrcorner}\uparrow$ .$LV\rho$ prov $\rho$ for a noIi expansive mapping $T$ that under certain conditions tlte stron g $\lim_{iarrow 1^{-}}G_{t}(x)$ pxists and is a $A_{XP}d$ point $oiT,$ $wher^{\rho}G_{t}(x)=(1-x+tTG_{\ell}\langle x)$ .$0\leq t<1$ .

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Available abstract

Jcn_{\vee}\circ$ -Yeoul ParkAB $\backslash \sim TRA(\grave{\lrcorner}\uparrow$ .$LV\rho$ prov $\rho$ for a noIi expansive mapping $T$ that under certain conditions tlte stron g $\lim_{iarrow 1^{-}}G_{t}(x)$ pxists and is a $A_{XP}d$ point $oiT,$ $wher^{\rho}G_{t}(x)=(1-x+tTG_{\ell}\langle x)$ .$0\leq t<1$ .

Key concepts: Banach space, Mathematics, Regular polygon, Nonlinear system, Convergence (economics), Pure mathematics, Mathematical analysis, Applied mathematics

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STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACE(Nonlinear Analysis and Convex Analysis) — Research Paper | ScholarLens