In this paper, the constraints of the sequential optimization of the lexicographic approach are relaxed in order to obtain a simple alternative approach to solve multiobjective problems. In other words, we allow the decision-maker to deviate from the optimal solution of each iteration if he/she prefers. Some properties of the obtained solutions are studied and the relationship between these solutions and those of the weighted sum scalarization and the -constraint scalarization and also the elastic -constraint scalarization are investigated. Finally, some examples are provided to show more details.
In this paper, we investigate the nature of the solutions to the following difference equation:
where the initial values
, parameters α, β, B, C are positive and k ∈ {1,2,3,…} is fixed.
We study the boundedness nature and global behavior of its solutions. Also, we investigate the analysis of the semi-cycles under special conditions.
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