Open AccessWEAK CONVERGENCE THEOREMS FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS, MONOTONE MAPPINGS AND PSEUDOCONTRACTIVE MAPPINGS
Author(s) -
Jong Soo Jung
Publication year - 2015
Publication title -
journal of the korean mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 31
eISSN - 2234-3008
pISSN - 0304-9914
DOI - 10.4134/jkms.2015.52.6.1179
Subject(s) - variational inequality , mathematics , monotone polygon , hilbert space , convergence (economics) , fixed point , strongly monotone , set (abstract data type) , weak convergence , iterative method , discrete mathematics , pure mathematics , mathematical optimization , mathematical analysis , computer science , economic growth , asset (computer security) , programming language , computer security , economics , geometry
In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a generalized mixed equilibrium problem related to a continuous monotone mapping, the set of solutions of a variational inequality problem for a continuous monotone mapping, and the set of fixed points of a continuous pseudocontractive mapping in Hilbert spaces. Weak convergence for the proposed iterative algorithm is proved. Our results improve and extend some recent results in the literature.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom