In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive resul...

In this paper we prove the following theorem. “Let H be a countably Čech–complete topological group, X be a topological space and (G, ·, τ) be a topological group. If f : H ×X → G is a separately continuous mapping with the property that for each x ∈ X, the mapping h 7→ f(h, x) is a group homomorphism, then for each q–point x0 ∈ X the mapping f is jointly continuous at each point of H ×{x0}.” W...

Let X be a real Banach space with a normalized duality mapping uniformly norm-to-weak continuous on bounded sets or a reflexive Banach space which admits a weakly continuous duality mapping JΦ with gauge φ. Let f be an α-contraction and {Tn} a sequence of nonexpansive mapping, we study the strong convergence of explicit iterative schemes xn+1 = αnf(xn) + (1− αn)Tnxn (1) with a general theorem a...

Let X be a completely regular Hausdorff space, E a Hausdorff topological vector space, CL(E) the algebra of continuous operators on E, V a Nachbin family on X and F ⊆ CVb(X,E) a topological vector space (for a given topology). If π : X → CL(E) is a mapping and f ∈ F , let Mπ(f)(x) := π(x)f(x). In this paper we give necessary and sufficient conditions for the induced linear mapping Mπ to be a mu...

Abstract In this paper, we deal with the sensitivity analysis in vector equilibrium problems by using S -derivative of a set-valued mapping. We first investigate on kind gap function for problems. Based these results, estimations perturbed mapping parametric problem are given. Moreover, provide some examples to illustrate obtained results. Finally, derive solutions via variational system.

S. Miguel Island's vascular plant flora (Archipelago of the Azores,Portugal) consists of approximately 1000 taxa and is largely dominated bynon-indigenous taxa. The rapid spread of some very aggressive invasivealien species, such as Pittosporum undulatum Vent. and Clethra arboreaAiton, is causing serious damages to this ecosystem. This paper assessedthe effectiveness of High...

If u 7→ A(u) is a C0,α-mapping, for 0 < α ≤ 1, having as values unbounded self-adjoint operators with compact resolvents and common domain of definition, parametrized by u in an (even infinite dimensional) space, then any continuous (in u) arrangement of the eigenvalues of A(u) is indeed C0,α in u. Theorem. Let U ⊆ E be a c∞-open subset in a convenient vector space E, and 0 < α ≤ 1. Let u 7→ A(...