The Ekeland variational principle, formulated by lvar Ekeland in 1972, is the foundation of modern variational calculus. Its novelty consists in introducing a perturbed variational principle where the goal function f is replaced by the perturbed function ??f + ? (.)x ???. Its numerous and varied applications are developed and described in this monograph : geometry of Banach spaces, nonlinear analysis, differential equations and partial differential equations, global analysis, probabilistic analysis, differential geometry, fixed point theorems, nonlinear semi-groups, dynamical systems, optimization, mathematical programming, optimal control. Some of these applications are currently used for modelling in engineering, macro-economics, and statistics. This monograph is addressed particularly to graduate course lecturers, researchers, engineers and graduate students.
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Jul 31, 2017 ... Moreover, by using it, two versions of existence results of a solution for the ... Ekeland's variational principle was first expressed by Ekeland [1, ...