In this article, a new multidirectional monotone hybrid iteration algorithm for finding a solution to the split common fixed point problem is presented for two countable families of quasi-nonexpansive mappings in Banach spaces. Strong convergence theorems are proved. The application of the result is to consider the split common null point problem of maximal monotone operators in Banach spaces. ...

In a recent paper new upper and lower limits were given, in the context of the Schrödinger or Klein–Gordon equations, for the number N0 of S-wave bound states possessed by a monotonically nondecreasing central potential vanishing at infinity. In this paper these results are extended to the number N of bound states for the th partial wave, and results are also obtained for potentials that are no...

We find an upper bound for geodesic distances associated to monotone Riemannian metrics on positive definite matrices and density matrices.

The purpose of this paper is to introduce a new iterative scheme for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of solutions of variational inequality problems, the zero point of maximal monotone operators, and the set of two countable families of quasi-φ-nonexpansive mappings in Banach spaces. Moreover, the strong convergence theorems of...

Let C be an n-dimensional integral box, and π be a monotone property defined over the elements of C. We consider the problems of incrementally generating jointly the families Fπ and Gπ of all minimal subsets satisfying property π and all maximal subsets not satisfying property π, when π is given by a polynomial-time satisfiability oracle. Problems of this type arise in many practical applicatio...

Let Ω be an open subset in C. PSH(Ω) will stand for the set of all plurisubharmonic (psh) functions on Ω. We use the standard notations d = ∂ + ∂ and d = i (∂ − ∂). The complex Monge-Ampère operator (dd) is, via integrations by parts, well defined on PSH(Ω) ∩ Lloc(Ω) and is continuous under monotone limits, that is, (dd uj) n → (ddu) in the sense of currents if the monotone sequence of function...