Weakly Compact
A Leray-Schauder alternative for weakly-strongly sequentially continuous weakly compact maps
... for weakly sequentially upper semicontinu- ous maps defined on locally convex Hausdorff topological spaces which are angelic when furnished with the weak ...are weakly-strongly sequentially con- tinuous and ...
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Some Property of Finite Sum of Weighted Composition and Weighted Frobenius-Perron Operators
... - weakly compact of finite sum of weighted composition operators between L p (µ) - spaces described, we also obtain some necessary and sufficient conditions for Fredholmness of the finite sum of weighted ...
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Fixed point theorems for nonexpansive mappings on nonconvex sets in UCED Banach spaces
... T y ≤ ( 1 − λ)(x − y)+ λ(T x − T y) for all x , y in C , then T is said to be λ -firmly nonexpansive. For details of these mappings, see [1, 3]. It is obvious that every λ - firmly nonexpansive mapping is nonexpansive. In ...
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Normal Structure and Common Fixed Point Properties for Semigroups of Nonexpansive Mappings in Banach Spaces
... is in fact a common fixed point for Σ and, hence, for S. Note that if X is norm compact, the weak and norm topology agree on X. Hence every nonexpansive mapping from X into X must be weakly continuous. ...
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On Some Fixed Point Theorems for 1 Set Weakly Contractive Multi Valued Mappings with Weakly Sequentially Closed Graph
... for weakly completely continuous multi-valued mappings takes an important role for the existence of solutions for operator inclusions, positive solutions of elliptic equation with discontinuous non- linearities ...
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A characterization between fixed point properties of weak nonexpansive semigroups and the existence of a left invariant mean on the space of weakly almost periodic functions
... Q-nonexpansive, weakly separately continuous and sepa- rable semitopological semigroup that acts on a WCCS K of (E , ...minimal weakly compact S-invariant subset of K satisfying sF = F (s ∈ ...
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Nonexpansive mappings defined on unbounded domains
... The preceding theorem shows that for mappings with bounded iterates, the question of the existence of common fixed points for a finite commuting family of nonexpansive mappings reduces to the bounded case. In particular, ...
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Tangent cones, starshape and convexity
... Thus to try and find a pseudoconvex non-convex subset in Banach space one must look for badly non weakly compact subsets of non reflexive spaces... normed space however, any non-convex s[r] ...
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Fixed Point Theory on a Frechet Topological Vector Space
... linear weakly compact operator from a closed convex subset of a Frechet topological vector space having the Dunford-Pettis property into itself has ...and weakly compact mappings, while the ...
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ON THE WEAK SOLUTIONS OF THE URYSOHN-STIELTJES FUNCTIONAL INTEGRAL EQUATIONS
... Theorem 2. Let E be a Banach space and let Q be a nonempty, bounded, closed and convex subset of C[I, E] and let F : Q → Q be a weakly sequen- tially continuous and assume that F Q(t) is relatively weakly ...
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Characterizations of vector valued weakly almost periodic functions
... Remark 3.6 . (a) The equivalence of (1) and (5) of Theorem 2.4 appeared in [5, Theorem 6]; though it was assumed that S admits an identity, the proof of Theorem 6 did not use the identity. (b) In both Theorems 3.2 and ...
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Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces
... strongly. Thus, by Lemma 4.7, we obtain the desired result. Remark 5.3. In Theorems 5.1 and 5.2, from the proofs of Lemma 4.6 and Theorem 5.2, we may replace the condition of the reflexivity of E by the weaker condition ...
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Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup
... study compact and weakly compact multipliers on L(S), L(S) ∗∗ , and LUC(S) ∗ , where the latter is the dual of ...nonzero compact (or weakly compact) multiplier on L(S) ∗∗ ...
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Krasnosel’skii-type fixed point theorems with applications to Volterra integral equations
... and compact mapping from a nonempty closed convex subset of a Banach space to itself has a fixed ...every weakly continuous and weakly compact mapping from a nonempty closed convex subset of a ...
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An implicit method for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces
... Let f be a function of the semigroup S into a reflexive Banach space E such that the weak closure of {f (t) : t ∈ S} is weakly compact, and let X be a subspace of B(S) containing all the functions t → f (t), ...
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Extensions of best approximation and coincidence theorems
... Ding and Tan [9, Theorem 4]" X is a weakly compact convex subset of a locally convex Hausdorff topological vector space E, r, g lx, and F KX, w, E, T.. From Theorem 3.1, we obtain the fo[r] ...
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II Lithostratigraphy
... Clearly, the fluviatile clastic beds cl 1 and cl 3 have been developed difi'erently within the study area from beds cl 2 and cl 4. Cl 1 is a thin, discontinuous, usually sand-free, weakly to moderately humic clay ...
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Functions and Weakly µH-Compact Spaces
... The ideas of generalized topology and hereditary classes were introduced and studied by Cs´ asz´ ar in [3] and [5], respectively. The strategy of using generalized topologies and hereditary classes to extend classical ...
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Weakly Pure and Weakly Copure Submodule of Multiplication Modules
... is weakly pure submodule of multiplication ...of weakly copure submodule of multiplication module and give some usefull ...is weakly copure submodule of multiplication ...
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Non-commutative separate continuity and weakly almost periodicity for Hopf von Neumann algebras
... We now come to our principle application, that of studying “weakly almost periodic functionals” on locally compact quantum groups, or more generally Hopf von Neumann algebras. Let ( M , ∆) be a Hopf von ...
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