Darba mērķis ir izveidot nepārtrauktu, gabaliem monotonu funkciju (NGMF) f:R->R teoriju, un, balstoties uz to, vienkāršot dažu ekstrēmu uzdevumu risināšanu. Īpaša loma tiek atvēlēta monotonitātes signatūrai, ar kuras palīdzību NGMF tiek klasificētas, kā arī teorēmai par NGMF kompozīciju, kurai ir svarīga loma ekstrēmu uzdevumu risināšanā.In this work author builds a theory of continuous piecewise monotone functions (CPMF)f:R->R with further applications of it in area of mathematical optimization. Concept of monotonicity signature, which allows to classify CPMF, and theorem of CPMF composition – important tool, which allows to simplify solution process of some optimization problems – are the main players here
Abstract. The notion of a maximal monotone operator is crucial in optimization as it captures both t...
The concept of a monotone operator — which covers both linear positive semi-definite operators and s...
The concept of a monotone operator --- which covers both linear positive semi-definite operators and...
. Let is piecewise continuous monotone function. In this paper we going to construct g-invariant me...
Monotonicity of functions were of great interest of many mathematicians. Starting from the well know...
(Received 00 Month 200x; In final form 00 Month 200x) For each monotone bifunction F defined on a su...
We investigate the existence and uniqueness of solutions ϕ: I → J of the functional equation ϕfx ...
Abstract. We prove constructively (in the style of Bishop) that every monotone continuous function w...
This paper presents the theory that guarantees the convexication of a strictly monotone function. We...
Focussing on the theory (both classical and recent) of monotone multifunctions on a (possibly nonref...
The notion of a maximal monotone operator is crucial in optimization as it captures both the subdiff...
We investigate the existence and uniqueness of solutions of the functional equation , , where ...
Tarih boyunca diferansiyel denklemlerde monoton methodların uygulamları ve karşılaştırma argümanl...
Issued as Interim report and Final report, Project no. G-37-633 (co-project is E-24-638/Bazaraa/Scho...
In this article, we investigate the composition of functions related\ud to the completely monotonic ...
Abstract. The notion of a maximal monotone operator is crucial in optimization as it captures both t...
The concept of a monotone operator — which covers both linear positive semi-definite operators and s...
The concept of a monotone operator --- which covers both linear positive semi-definite operators and...
. Let is piecewise continuous monotone function. In this paper we going to construct g-invariant me...
Monotonicity of functions were of great interest of many mathematicians. Starting from the well know...
(Received 00 Month 200x; In final form 00 Month 200x) For each monotone bifunction F defined on a su...
We investigate the existence and uniqueness of solutions ϕ: I → J of the functional equation ϕfx ...
Abstract. We prove constructively (in the style of Bishop) that every monotone continuous function w...
This paper presents the theory that guarantees the convexication of a strictly monotone function. We...
Focussing on the theory (both classical and recent) of monotone multifunctions on a (possibly nonref...
The notion of a maximal monotone operator is crucial in optimization as it captures both the subdiff...
We investigate the existence and uniqueness of solutions of the functional equation , , where ...
Tarih boyunca diferansiyel denklemlerde monoton methodların uygulamları ve karşılaştırma argümanl...
Issued as Interim report and Final report, Project no. G-37-633 (co-project is E-24-638/Bazaraa/Scho...
In this article, we investigate the composition of functions related\ud to the completely monotonic ...
Abstract. The notion of a maximal monotone operator is crucial in optimization as it captures both t...
The concept of a monotone operator — which covers both linear positive semi-definite operators and s...
The concept of a monotone operator --- which covers both linear positive semi-definite operators and...