Mann type implicit iteration approximation for multivalued mappings in Banach spaces.
Maximal elements and equilibria of generalized games for -majorized and condensing correspondences.
Maximal monotone mappings in banach spaces
Measures of noncircularity and fixed points of contractive multifunctions.
Metric fixed point theory for multivalued mappings [Book]
Minimax inequality of Ky Fan type in -spaces with applications.
Minimax theorems without changeless proportion
The so-called minimax theorem means that if X and Y are two sets, and f and g are two real-valued functions defined on X×Y, then under some conditions the following inequality holds: . We will extend the two functions version of minimax theorems without the usual condition: f ≤ g. We replace it by a milder condition: , ∀y ∈ Y. However, we require some restrictions; such as, the functions f and g are jointly upward, and their upper sets are connected. On the other hand, by using some properties...
Monotone increasing multi-valued condensing random operators and random differential inclusions.
Multifunctions of two variables: examples and counterexamples
A brief account of the connections between Carathéodory multifunctions, Scorza-Dragoni multifunctions, product-measurable multifunctions, and superpositionally measurable multifunctions of two variables is given.
Multi-valued fixed point theorems by altering distance between the points.
Multi-valued operators and fixed point theorems in Banach algebras
In this paper, two multi-valued versions of the well-known hybrid fixed point theorem of Dhage [6] in Banach algebras are proved. As an application, an existence theorem for a certain differential inclusion in Banach algebras is also proved under the mixed Lipschitz and compactness type conditions.
Multivalued superposition operators
Multi-valued superpositions [Book]
New versions on Nikaidô's coincidence theorem
In 1959, Nikaidô established a remarkable coincidence theorem in a compact Hausdorff topological space, to generalize and to give a unified treatment to the results of Gale regarding the existence of economic equilibrium and the theorems in game problems. The main purpose of the present paper is to deduce several generalized key results based on this very powerful result, together with some KKM property. Indeed, we shall simplify and reformulate a few coincidence theorems on acyclic multifunctions,...
Newton's methods for variational inclusions under conditioned Fréchet derivative
Estimates of the radius of convergence of Newton's methods for variational inclusions in Banach spaces are investigated under a weak Lipschitz condition on the first Fréchet derivative. We establish the linear convergence of Newton's and of a variant of Newton methods using the concepts of pseudo-Lipschitz set-valued map and ω-conditioned Fréchet derivative or the center-Lipschitz condition introduced by the first author.
Non-compact random generalized games and random quasi-variational inequalities.
Nonlocal conditions for lower semicontinuous parabolic inclusions.
Norm-to-weak upper semicontinuous monotone operators are generically strongly continuous.
Note on KKM maps and applications.
On a local degree for a class of multi-valued vector fields in infinite dimensional Banach spaces.