Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: the projective limit approach.
Fixed point theory for multivalued maps in Fréchet spaces via degree and index theory
New fixed point results are presented for multivalued maps defined on subsets of a Fréchet space E. The proof relies on the notion of a pseudo open set, degree and index theory, and on viewing E as the projective limit of a sequence of Banach spaces.
Fixed point theory on extension-type spaces and essential maps on topological spaces.
Fixed point variational solutions for uniformly continuous pseudocontractions in Banach spaces.
Fixed points and best approximation in Menger convex metric spaces
We obtain necessary conditions for the existence of fixed point and approximate fixed point of nonexpansive and quasi nonexpansive maps defined on a compact convex subset of a uniformly convex complete metric space. We obtain results on best approximation as a fixed point in a strictly convex metric space.
Fixed points and coincidence points for multimaps with not necessarily bounded images.
Fixed points and minimax inequalities.
Fixed points and nonexpansive retracts in locally convex spaces
Fixed points and periodic points of semiflows of holomorphic maps.
Fixed points and selections of set-valued maps on spaces with convexity.
Fixed points and stability in nonlinear equations with variable delays.
Fixed points and stability of a generalized quadratic functional equation.
Fixed points and stability of an additive functional equation of -Apollonius type in -algebras.
Fixed points and their approximations for asymptotically nonexpansive mappings in locally convex spaces.
Fixed points and variational principle in uniform spaces.
Fixed points approximation and solutions of some equilibrium and variational inequalities problems.
Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets
The paper studies the existence of fixed points for some nonlinear (ws)-compact, weakly condensing and strictly quasibounded operators defined on an unbounded closed convex subset of a Banach space. Applications of the newly developed fixed point theorems are also discussed for proving the existence of positive eigenvalues and surjectivity of quasibounded operators in similar situations. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness.
Fixed points, equilibria and maximal elements in linear topological spaces
Fixed points for discontinuous monotone operators.
Fixed points for generalized multi-valued contractions