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Abstract Existence results are established for a general class of second-order boundary value problems motivated from a problem arising in…

Abstract In this paper we present a two-norms version of Krasnoselskii’s fixed point theorem in cones. The abstract result is…

AbstractWe use topological methods to develop an existence theory for nonlinear operator equations of Hammerstein type in Banach spaces. In…

AbstractExistence and localization results are derived from Krasnoselskii’s compressionexpansion fixed point theorem in cones, for operator equations in spaces of…

AbstractThe main purpose of this paper is to make Krasnoselskii’s compression-expansion fixed point theorem applicable to nonlinear integral equations in…

AbstractNew existence and localization results for the nonlinear wave equation are established by means of the Schauder fixed point theorem.…

AbstractA continuation principle of Leray-Schauder type is presented for contractions with respect to a gauge structure depending on the homotopy…

Abstract In this note the continuation principle (nonlinear alternative) for nonexpansive maps on Hilbert spaces (see [5]) in extended in…

Abstract We present a constructive method for solving (1)-(2) under hypotheses (i)-(iv) by assuming that function \(f(t,x)\) is monotone with…

Abstract Existence and localization results for the nonlinear wave equation are established by Krasnoselskii’s compression-expansion fixed point theorem in cones.…