Fixed point theorems for acyclic multivalued maps and inclusions of Hammerstein type
AbstractThe aim of this lecture is to present a new compactness method for operator inclusions in general, and for Hammerstein…
not-at-ICTP
Abstract generalized quasiliniarization method for coincidences
Abstract An abstract unified theory of both monotone iterative and generalized quasilinearization methods is presented for operator equations of coincidence…
Integrable solutions of Hammerstein integral inclusions in Banach spaces
AbstractIn this paper we present a common existence theory for both continuous and integrable solutions to Hammerstein inclusions in Banach…
Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps
AbstractWe apply Monch type fixed point theorems for acyclic multivalued maps to the solvability of inclusions of Hammerstein type in…
The continuation principle for generalized contractions
Abstract A continuation principle for contractions on spaces endowed with vector-valued metrics is presented together with an application to Hamerstein…
Existence criteria for integral equations in Banach spaces
Abstract A Caratheodory existence theory for nonlinear Volterra and Urysohn integral equations in Banach spaces is presented using a Monch…
Convexity and quadratic monotone approximation in delay differential equations
AbstractIn this paper the method of quasiliniarization, an application of Newton’s method, recently generalized in [1], is used for the…
Continuation results for mappings of contractive type
AbstractWe survey fixed point results for mappings of contractive type in metric spaces, quasiuniform and uniform spaces and, more general,…
On the Palais-Smale condition for Hammerstein integral equations in Hilbert spaces
Abstract In this paper we deal with nontrivial solvability in balls of Hammerstein integral equations in Hilbert spaces for nonlinearities…
Fixed point theorems for set-valued maps and existence principles for integral inclusions
AbstractNew fixed point theorems of Mönch type are presented for set-valued maps. These theorems are then used to establish general…