[PDF] Top 20 Fixed Point Theory on a Frechet Topological Vector Space

... of fixed-point theorem in a Frechet topological vector space ...a Frechet topological vector space having the Dunford-Pettis property into itself has ... See full document

... such that Fx ⊆ H for all x ∈ U. It is clear that a u.s.c. multivalued mapping is u.d.c. but the converse is not true see 7. It is convenient to write p, x instead of px for p ∈ E ∗ and x ∈ E. The reason for this is that ... See full document

... cal vector space has been discussed by Wehausen [4] in 1938 and Hyers [5] in ...on topological vector ...on fixed points of convex maps in topological vector ... See full document

... of topological vector space (tvs)-cone metric spaces are introduced and a fixed point theorem in the context of tvs-cone metric spaces with respect to a solid cone is ... See full document

... game theory, fixed point theorems play important roles to prove the ex- istence of Nash equilibrium for strategic games, where the underlying spaces are equipped with topological ...fixed point ... See full document

... fixed point theorems guaranteeing the uniqueness; for instance, various generalizations of the Banach contraction principle for weak contractions, ...metric space and the multivalued maps ϕ i : X → K(X) of a ... See full document

... (3) for any ε >0, there exist δ >0 such that p(z, x) ≤ δ and p(z, y) ≤ δ imply d(x, y) ≤ ε. In the following we suppose that E is a real Hausdorff topological vector space (tvs for short) with ... See full document

... Hausdorff topological spaces and continuous maps to the category of graded vector spaces and linear maps of degree ...graded vector space, with H q X being the q-dimensional ˘ Cech ... See full document

... studied fixed points results of mappings satisfying contractive type condition in Banach space valued cone metric ...common fixed points of a pair of mapping in a class of topological ... See full document

... concerning fixed point theory in extension-type ...new fixed point theorems, one concerning approximate neighborhood extension spaces and another concerning inward-type maps in ... See full document

... metric space by replacing the set of real numbers by ordered Banach space, deffined a cone metric space, and established some fixed point theorems for contractive type mappings in a ... See full document

... common fixed point theorem for R-subweakly commuting generalized I -nonexpansive maps on nonstarshaped domain in the setting of locally bounded topological vector spaces, locally convex ... See full document

... Hilbert space (namely a Sobolev space H  ...the theory in normed spaces of any dimension (see ...Banach space E and a continuous coercive bilinear form a(·, ·) on E × E, ... See full document

... studied fixed points results of mappings satisfying contractive type condition in Banach space-valued cone metric ...common fixed points of a pair of mapping satisfying generalized contractive type ... See full document

... Banach space instead of the set of real numbers, as the codomain for a ...some fixed point and common fixed point theorems for contractive-type mappings in cone metric spaces and cone ... See full document

... Hausdorff topological vector spaces (see [3]), “metric spaces” can be replaced by “nonzero Hausdorff topological vector spaces” in definition ...of topological vector spaces need ... See full document

... topological vector space- valued cone metric spaces which are generalize of the results [15] and ...common fixed point of a pair of mappings satiasfying a generalized contractive type ... See full document

... fixed point theory on locally convex topological vector spaces have been studied in the setting of S-KKM class in ...the fixed point problem on uniform ... See full document

... Let E be a topological vector space with its zero vector θ . A nonempty subset P of E is called a convex cone if P + P ⊆ P and λP ⊆ P for λ ≥ . A convex cone P is said to be pointed (or ... See full document

... normed space (briefly, non-Archime- dean RN-space) is a triple (X , μ , T), where X is a linear space over a non-Archimedean field K , T is a continuous t-norm, and μ is a mapping from X into D + ... See full document