A note on fixed point theorem of Schauder type with applications
A note on Kakutani type fixed point theorems.
A note on Picard iterates of nonexpansive mappings
Let X be a Banach space, C a closed subset of X, and T:C → C a nonexpansive mapping. It has recently been shown that if X is reflexive and locally uniformly convex and if the fixed point set F(T) of T has nonempty interior then the Picard iterates of the mapping T always converge to a point of F(T). In this paper it is shown that if T is assumed to be asymptotically regular, this condition can be weakened much further. Finally, some observations are made about the geometric conditions imposed.
A note on properties that imply the fixed point property.
A note on some fixed point results.
A note on “Some results on multi-valued weakly Jungck mappings in b-metric space”
The proofs of Theorems 2.1, 2.2 and 2.3 from [Olatinwo M.O., Some results on multi-valued weakly jungck mappings in b-metric space, Cent. Eur. J. Math., 2008, 6(4), 610–621] base on faulty evaluations. We give here correct but weaker versions of these theorems.
A note on the example of J. Andres concerning the application of the Nielsen fixed-point theory to differential systems
A Note on the Measure of Solvability
Let X be an infinite-dimensional Banach space. The measure of solvability ν(I) of the identity operator I is equal to 1.
A note on the minimal essential set of coincident points for set-valued mappings.
A note on well-posed null and fixed point problems.
A pair of non-self mappings in cone metric spaces
A pointwise contraction criteria for the existence of fixed points.
A proof of admissibility of a class of random normed spaces
A proof of the Markov-Kakutani fixed point theorem via the Hahn-Banach theorem.
A proof of the Schauder-Tychonoff theorem.
-properness and fixed point theorems for dissipative type maps.
A Quantitative Schauder Theorem.
A quasi-Newton method for solving fixed point problems in Hilbert spaces.
A random fixed point theorem for multivalued mappings of Ćirić type
A reduced modelling approach to the pricing of mortgage backed securities.