About 1,380 results
|It is an easy exercise to show that F is ^-contracting, if it is the sum F = C + K of a |
contraction C and a compact operator K. So the above mentioned fixed point
theorem of KrasnoselskiT is indeed a special case of Darbo's fixed point theorem.
|We pass now to an important result for α-contractive operators which is known as |
Darbo's fixed point theorem and which we will use later several times. Theorem
2.1. Let X be a Banach space, M ⊂ X nonempty, bounded, closed, and convex, ...
|It is essentially a restatement of Darbo's definition in terms of the graph of the |
map. Jerrard defined the homology theory in this category, showed that it verifies
all the axioms of a homology theory and proved the Lefschetz fixed point theorem
|7Yien T has at least one fixed point in U . We point out that each extension of |
Theorem 1.2 is based on a fixed point theorem for self-maps of a subset of X.
Thus, Theorem 1.2 for set-contractions is derived from the Darbo fixed point
|He was the first to use the index a in the theory of fixed points . Darbo's fixed-|
point theorem is a generalization of the well-known Schauder fixed-point theorem
(cf. also Schauder theorem) . It states that if S is a non-empty bounded closed ...
|If X is a Banach space and the metric d on X is taken to be the norm on X, G. |
Darbo  proved that for all bounded sets A and B in X and all ... As Darbo
observed, these properties of a make it a powerful tool for proving fixed point
|Theorem 1.3.2, Theorem 1.3.3 and Theorem 1.3.4 are called, respectively, as |
Daher's fixed point theorem (see Daher ), Sadovskii's fixed point theorem (see
Sadvskii ), Darbo's fixed point theorem (see Darbo ). The results on the fixed
|Topological fixed point theorems and Hyperconvexity Another important branch |
of fixed point theory comprises those ... Surprisingly, as it was noted in |40], a
hyperconvex version of the Darbo-Sadovekii theorem does not require the use of
|117 Banach, S., 109 Borsuk theorem on antipodes, 23 Brouwer, L.E.J., 5 |
Brouwer's fixed point theorem, 7 Cantor's intersection ... 168 Condensing
operator (</>-condensing operator), 38 0-contractive operator, 38 Darbo's fixed
point theorem, ...
- Buy fixed point theorems at Amazon! Free Shipping on Qualified Orders.