Karisti nekustīgā punkta teorēma
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Latvijas Universitāte
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Abstract
Darbā aplūkoti nekustīgās punktu teorijas rezultāti, kas saistīti ar Karisti teorējmu. A.Liepiņa darba "Attēlojumu nekustīgo punktu eksistence kā optimizācijas uzdevums" ietekmē attīstīts Karisti teorēmas paveids. Darbā dotas idejas, kā var sintizēt jaunas nekustīgo punktu teorēmas. Darbā aplūkoti ilustrējoši piemēri.
This paper examines the results of fixed point theory, which are related to the Caristi theorem. Inspired by mathmatician A. Liepiņš' work "The Existence of fixed point as an optimization problem", this study develops a fixed-point theorm similar to the Caristi's theorem. The paper presents ideas how to synthesize new fixed point theorems, and offers certain examples.
This paper examines the results of fixed point theory, which are related to the Caristi theorem. Inspired by mathmatician A. Liepiņš' work "The Existence of fixed point as an optimization problem", this study develops a fixed-point theorm similar to the Caristi's theorem. The paper presents ideas how to synthesize new fixed point theorems, and offers certain examples.