AN ITERATIVE SCHEME FOR SOLVING FIXED POINT PROBLEM OF ASYMPTOTICALLY PSEUDOCONTRACTIVE OPERATORS AND VARIATIONAL INEQUALITIES

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS（2022）

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摘要

Fixed point problems of asymptotically pseudocontractive operators and quasi-monotone variational inequalities have been considered in Hilbert spaces. An iterative scheme for finding a common point of an asymptotically pseudocontractive operator and the solution of a quasimonotone variational inequality is presented. Convergence analysis of the proposed scheme is proved under several additional assumptions.

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关键词

fixed point, asymptotically pseudocontractive operators, quasimonotone variational inequalities, iterative scheme

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