Abstract
In this paper, we show the impact of certain general results by the author on the topic described in the title. Here is a sample: Let (X, �· , ·� ) be a real Hilbert space and let T : X → X be a nonexpansive potential operator.
Highlights
1 Introduction There is no doubt that fixed point theory for nonexpansive mappings is one of the central topics in modern analysis
Since [, ], such a theory has had a strong development, and several deep results have been achieved within it in the settings such as abstract harmonic analysis and the geometry of Banach spaces. Another very important class of operators is that composed of potential operators
The variational methods to study linear and nonlinear equations are fully based on potential operators
Summary
There is no doubt that fixed point theory for nonexpansive mappings is one of the central topics in modern analysis. ). As a consequence, xis a local minimum of the functional I, and so it is a fixed point of T, by Proposition .
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