Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data. This type of research is considered most interesting and challenging. This is our motivation for the introduction of this special issue on Iterative Procedures.

Lipschitz condition --- order of convergence --- Scalar equations --- local and semilocal convergence --- multiple roots --- Nondifferentiable operator --- optimal iterative methods --- Order of convergence --- convergence order --- fast algorithms --- iterative method --- computational convergence order --- generalized mixed equilibrium problem --- nonlinear equations --- systems of nonlinear equations --- Chebyshev’s iterative method --- local convergence --- iterative methods --- divided difference --- Multiple roots --- semi-local convergence --- scalar equations --- left Bregman asymptotically nonexpansive mapping --- basin of attraction --- maximal monotone operator --- Newton–HSS method --- general means --- Steffensen’s method --- derivative-free method --- simple roots --- fixed point problem --- split variational inclusion problem --- weighted-Newton method --- ball radius of convergence --- Traub–Steffensen method --- Newton’s method --- fractional derivative --- Banach space --- multiple-root solvers --- uniformly convex and uniformly smooth Banach space --- Fréchet-derivative --- optimal convergence --- Optimal iterative methods --- basins of attraction --- nonlinear equation

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This Special Issue contains eight original papers with a high impact in various domains of set-valued analysis. Set-valued analysis has made remarkable progress in the last 70 years, enriching itself continuously with new concepts, important results, and special applications. Different problems arising in the theory of control, economics, game theory, decision making, nonlinear programming, biomathematics, and statistics have strengthened the theoretical base and the specific techniques of set-valued analysis. The consistency of its theoretical approach and the multitude of its applications have transformed set-valued analysis into a reference field of modern mathematics, which attracts an impressive number of researchers.

Research & information: general --- Mathematics & science --- gauge multivalued integral --- scalarly defined multivalued integral --- decomposition of a multifunction --- Kuelbs–Steadman space --- Henstock–Kurzweil integrable function --- vector measure --- dense embedding --- completely continuous embedding --- Köthe space --- Banach lattice --- fractional differential inclusion --- maximal monotone operator --- Riemann–Liouville integral --- absolutely continuous in variation --- Vladimirov pseudo-distance --- fuzzy measure space --- fuzzy integration --- t-norm --- Chebyshev’s inequality --- Hölder’s inequality --- periodic boundary value inclusion --- Stieltjes derivative --- Stieltjes integrals --- Bohnenblust–Karlin fixed-point theorem --- regulated function --- solution set --- discontinuous function --- impulsive problem with variable times --- Riemann-Lebesgue integral --- interval valued (set) multifunction --- non-additive set function --- image processing --- b-metric space --- Hβ-Hausdorff–Pompeiu b-metric --- multi-valued fractal --- iterated multifunction system --- integral inclusion