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 strong convergence of a modified Halpern's iteration for nonexpansive mappings.
A note on the continuity properties of nonlinear operators
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 the super-additive and sub-additive transformations of aggregation functions: The multi-dimensional case
For an aggregation function we know that it is bounded by and which are its super-additive and sub-additive transformations, respectively. Also, it is known that if is directionally convex, then and is linear; similarly, if is directionally concave, then and is linear. We generalize these results replacing the directional convexity and concavity conditions by the weaker assumptions of overrunning a super-additive function and underrunning a sub-additive function, respectively.
A note on uniform boundedness principle for nonlinear operators
A note on variational-type inequalities for (η,θ,δ)-pseudomonotone-type set-valued mappings in nonreflexive Banach spaces
In this paper the existence of solutions to variational-type inequalities problems for (η,θ,δ)- pseudomonotone-type set-valued mappings in nonreflexive Banach spaces introduced in [4] is considered. Presented theorem does not require a compact set-valued mapping, but requires a weaker condition 'locally bounded' for the mapping.
A note on well-posed null and fixed point problems.
A numerical method for solving the problem
A pair of non-self mappings in cone metric spaces
A parabolic quasilinear problem for linear growth functionals.
We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth.
A pointwise contraction criteria for the existence of fixed points.
A priori-Schranken für diskrete Lösungen monotoner Operatorgleichungen und Anwendungen.
A proof of admissibility of a class of random normed spaces
A proof of the inverse function theorem
A proof of the Markov-Kakutani fixed point theorem via the Hahn-Banach theorem.
A proof of the Schauder-Tychonoff theorem.