Open AccessIterative methods for extended general variational inequalities
Author(s) -
Ayache Benhadid
Publication year - 2021
Publication title -
general mathematics
Language(s) - English
Resource type - Journals
eISSN - 1584-3289
pISSN - 1221-5023
DOI - 10.2478/gm-2021-0008
Subject(s) - variational inequality , equivalence (formal languages) , mathematics , inequality , operator (biology) , projection (relational algebra) , iterative method , calculus (dental) , mathematical optimization , mathematical analysis , pure mathematics , algorithm , medicine , biochemistry , chemistry , dentistry , repressor , transcription factor , gene
In this paper, we suggest and analyze a new approximation schemes (3) to solve the extended general variational inequalities (2), which were introduced by Muhammad Aslam Noor (see[7, 9]). Using the projection operator technique, we establish the equivalence between the extended general variational inequalities and the fixed-point problem. This equivalent formulation is used to discuss the existence of a solution of the extended general variational inequalities. Several special cases are also discussed.