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Such an approach, where in some problems of functional analysis the norm is replaced by a general function, was used in [1] in the study of generalized best approximation problems, which we now recall.
From this, the importance of the study of generalized monotonicity is evident.
The study of generalized Calderón-Zygmund operators and strongly singular non-convolution operators originated in the classical Calderón-Zygmund operator.
This paper is the first part of a work devoted to the study of generalized variational inequalities on non-convex sets.
When and, the study of generalized error bounds has received growing attention in the mathematical programming (see [18] and the references therein).
Therefore, the study of generalized linear differential equations has a good sense also when A is regulated and has bounded semi-variation instead of having A ∈ BV ( [ a, b ], X ), cf. [9] and [10].
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The present paper deals with the study of a generalized Mittag-Leffler function operator.
In Appendix B some auxiliary results, needed for the study of the generalized solution to problem (mathit {PK}_{2}), are proven.
For the study of the generalized weighted composition operator on various function spaces, see, for example, [4 6, 15 19].
The research methods and results of our paper will contribute to the study of the generalized Hénon map.
In recent years, many researches focused their attention on the study of a generalized version in q-calculus of the well-known linear and positive operators [1 6].
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