CONVERGENCE OF APPROXIMATING PATHS TO SOLUTIONS OF VARIATIONAL INEQUALITIES INVOLVING NON-LIPSCHITZIAN MAPPINGS

Title & Authors
CONVERGENCE OF APPROXIMATING PATHS TO SOLUTIONS OF VARIATIONAL INEQUALITIES INVOLVING NON-LIPSCHITZIAN MAPPINGS
Jung, Jong-Soo; Sahu, Daya Ram;

Abstract
Let X be a real reflexive Banach space with a uniformly $\small{G\hat{a}teaux}$ differentiable norm, C a nonempty closed convex subset of X, T : C $\small{\rightarrow}$ X a continuous pseudocontractive mapping, and A : C $\small{\rightarrow}$ C a continuous strongly pseudocontractive mapping. We show the existence of a path $\small{{x_t}}$ satisfying \$x_t
Keywords
pseudocontractive mapping;strongly pseudocontractive mapping;firmly pseudocontractive mapping;nonexpansive mapping;fixed points;uniformly $\small{G\hat{a}teaux}$ differentiable norm;variational inequality;
Language
English
Cited by
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