5 papers
Positive coexistence solutions for systems of multi-kernel Hammerstein type equations
Laura M. Fernández-Pardo, Jorge Rodríguez-López
We investigate positive solutions with both components nontrivial for systems of Hammerstein integral equations associated with a general matrix of Green's kernels, ther…
Hybrid and Component-wise Leggett-Williams type Fixed Point Theorems in Product Spaces with Applications
Laura María Fernández-Pardo
In this paper, we present new multiplicity fixed point theorems for operators acting on Cartesian products of two normed linear spaces. We show that Leggett-Williams type condition…
A unified approach to compression-expansion fixed point theorems for operators systems and applications
Laura M. Fernández-Pardo, Jorge Rodríguez-López
In this paper, we present some fixed point theorems for operator systems in the line of Krasnosel'skii's theorem in cones. The cone-compression and cone-expansion type conditions a…
On Krasnosel'skii-Precup fixed point theorem and eigenvalue criteria for existence of positive solutions
Laura M. Fernández-Pardo, Jorge Rodríguez-López
We provide an alternative approach to Krasnosel'skii-Precup fixed point theorem for operator systems based on the Leray-Schauder fixed point index in cones. Our focus is on the cas…
Component-wise Krasnosel'skii type fixed point theorem in product spaces and applications
Laura M Fernández-Pardo, Jorge Rodríguez-López
We present a version of Krasnosel'skii fixed point theorem for operators acting on Cartesian products of normed linear spaces, under cone-compression and cone-expansion conditions…