Generalized Distance and Existence Theorems in Complete Metric Spaces

183 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory (2008, background): “Suzuki [35] introduced a more general concept than w-distance, called τ -distance, and established EVP for τ -distance.”
A generalized Banach contraction principle that characterizes metric completeness (2007, background): “Moreover, it has many generalizations; see [2, 3, 4, 8, 9, 14, 15, 17, 18, 21, 23, 24, 25] and others.”
Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces (2006, background): “tional principle [10–12] (see also [8,31,32]) is equivalent to the Caristi’s fixed point theorem [3–8,19,22,25,26], to the drop theorem [17,25], to the petal theorem [17,25], and to the Takahashi’s nonconvex minimization theorem [1,15,18,27,31,32] and that by virtue of these equivalences it has foun”