Summary We discuss the existence or the existence and uniqueness of global and local Λ-bounded variation (ΛBV) solutions as well as continuous ΛBV-solutions of nonlinear Hammerstein and Volterra-Hammerstein integral equations formulated in terms of the Lebesgue integral. Since the space of functions of bounded variation in the sense of Jordan is a proper subspace of functions of Λ-bounded variation and for some class of functions φ, the space of functions of bounded φ-variation in the sense of Young is also a proper subspace of the space under consideration, our results extend known results in the literature.
The purpose of this paper is to introduce and study systems of strong implicit vector variational inequalities. Under suitable
conditions, some existence results for systems of strong implicit vector variational inequalities are established by the Kakutani--Fan--Glicksberg
fixed point theorem.
Analytic functions with bounded Mocanu variation generalize the concept of α-convexity in the unit disc. We introduce and
study certain classes of such functions. Inclusion results are obtained and a sharp radius problem is solved.
applicability of citations in the analysis of scientific quality. Of four classes of problems Seglen discussed, “the greatest impediment” is field effects such as the mean number of references and article age in the field. Variation of mean citations per article