Upper Semicontinuous
On best proximity points of upper semicontinuous multivalued mappings
... Theorem . Let A, B be nonempty, compact, and convex subsets of a strictly convex Banach space X and let F be a family of commuting, affine and relatively u-continuous mappings on A ∪ B with f (A) ⊆ A, f (B) ⊆ B for each ...
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Conditions for the Upper Semicontinuous Representability of Preferences with Nontransitive Indifference
... of upper semicontinuous functions representing an interval order on a topological space without imposing any restrictive assump- tions neither on the topological space nor on the representing ...
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On existence of a solution for the system of generalized vector quasi equilibrium problems with upper semicontinuous set valued maps
... with upper semicontinuous set-valued maps and present several existence results of a solution for this system of generalized vector quasi-equilibrium problems and its special ...
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Regular and singular perturbations of upper semicontinuous differential inclusion
... In the paper we study the continuity properties of the solution set of upper semicontinuous differential inclusions in both regularly and singularly perturbed case.. Using a kind of diss[r] ...
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Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces
... Lee, “Existence of best proximity pairs and equilibrium pairs,” Journal of Mathematical Analysis and Applications , vol.. Veeramani, “Best proximity pair theorems for multifunctions with[r] ...
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Iterative roots of upper semicontinuous multifunctions
... In his survey paper [], Targonski illustrated three ways to generalize iterative roots, extending or restricting the domain of the function or embedding the semigroup of self- mappings in a larger semigroup, and ...
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Fixed point theory on extension-type spaces and essential maps on topological spaces
... From Theorem 1.4 in proving the existence of fixed points in uniform spaces for upper semicontinuous compact maps with closed values, it su ffi ces [ 6 , page 298] to prove the existence o[r] ...
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Random fixed point theorems under mild continuity assumptions
... for upper semicontinuous correspondences The main aim of this section is to provide a new proof for the random version of Ky Fan’s fixed point ...the upper approximation technique, which is due to ...
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Multilayer approach to minimax theorems
... lower semicontinuous mapping in the first vari- able but neither upper semicontinuous in the second variable nor quasi-convex in the first variable; Q(x, y) is quasi-convex in first variable but not ...
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Maximal elements and equilibria of generalized games for 𝒰 majorized and condensing correspondences
... It is easy to see that A and P are both upper semicontinuous with closed and convex values and x ∈ P(x) for each x ∈ X, so that A∩ P is ᐁ -majorized. We, also, know that the subset E = {x ∈ X : A(x)∩P(x) = ...
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Fuzzy super irresolute functions
... Samanta, Fuzzy topology: fuzzy closure operator, fuzzy compactness and fuzzy connectedness, Fuzzy Sets and Systems 54 1993, no.. Höhle, Upper semicontinuous fuzzy sets and applications, [r] ...
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Monotone comparative statics: Changes in preferences vs changes in the feasible set
... Invoking, additionally, Theorem 2 of Shannon 1995 and restricting attention to order upper semicontinuous orderings ≻, we see that weak quasisupermodularity is equivalent to the existenc[r] ...
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Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
... Recall that a nonempty topological space is acyclic if all of its reduced ˘Cech ho- mology groups over rationals vanish. Note that any nonempty convex or star-shaped subset of a topological vector space is contractible, ...
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Existence of Solutions and Convergence of a Multistep Iterative Algorithm for a System of Variational Inclusions with -Accretive Operators
... Yang, “On existence of a solution for the system of generalized vector quasi- equilibrium problems with upper semicontinuous set-valued maps,” International Journal of Mathematics and Ma[r] ...
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The Boyd-Wong idea extended
... Boyd and Wong in their celebrated paper ‘On nonlinear contractions’ assumed the comparison function to be upper semicontinuous from the right.. This article is distributed under the term[r] ...
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Unilateral boundary value problems with jump discontinuities
... Using the critical point theory of Szulkin (1986), we study elliptic problems with unilateral boundary conditions and discontinuous nonlinearities. We do not use the method of upper and lower solutions. We prove ...
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A note on convex functions
... We point out that there are functions, which are not lower semicontinuous and satisfy the conditions of Theorem 3.2 i.e., the weak conditions that a lower semi-continuous function on R n[r] ...
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Iterative Algorithm for Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces
... VI(C,T ) = w ∈ X : s − w,Tw ≥ 0, ∀ s ∈ C . (4.5) A single-valued operator T is called semicontinuous if T is continuous from each line segment of C to H with the weak topology. Let F be a single-valued monotone ...
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Existence theorems for differential inclusions with nonconvex right hand side
... In this paper we some new existence theorems for differential inclusions with a nonconvex right -hand side, which is lower semicontinuous or continuous in the state variable, measurable [r] ...
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Generalized set valued variational like inclusions and Wiener Hopf equations in Banach spaces
... Lemma 2.7 [2]. Let E be a reflexive Banach space with the dual space E ∗ and let φ : E → R ∪ { + ∞} be a lower semicontinuous, η-subdifferentiable proper functional (which may not be convex). Let J : E → E ∗ be ...
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