14 citations · 31 across the 6 of their papers we have counts for
6 papers
Projective surjectivity of quadratic stochastic operators and its application
Farrukh Mukhamedov, Otabek Khakimov, Ahmad Fadillah Embong
A nonlinear Markov chain is a discrete time stochastic process whose transitions depend on both the current state and the current distribution of the process. The nonlinear Markov…
On omega limiting sets of infinite dimensional Volterra operators
Farrukh Mukhamedov, Otabek Khakimov, Ahmad Fadillah Embong
In the present paper, we are aiming to study limiting behavior of infinite dimensional Volterra operators. We introduce two classes and $\tilde{\mathcal{V}…
Positive solutions of nonlinear integral equations and surjectivity of Non-Linear Markov Operators On Infinite Dimensional Simplex
Farrukh Mukhamedov, Otabek Khakimov, Ahmad Fadillah Embong
In the present paper, we consider the solvability of positive solutions of nonlinear integral equations by means of investigating non-linear Markov operators. To solve the problem…
Infinite Dimensional Orthogonal Preserving Quadratic Stochastic Operators
Farrukh Mukhamedov, Ahmad Fadillah Embong
In the present paper, we study infinite dimensional orthogonal preserving quadratic stochastic operators (OP QSO). A full description of OP QSOs in terms of their canonical form an…
On Non-Linear Markov Operators: surjectivity vs orthogonal preserving property
Farrukh Mukhamedov, Ahmad Fadillah Embong
In the present paper, we consider nonlinear Markov operators, namely polynomial stochastic operators. We introduce a notion of orthogonal preserving polynomial stochastic operators…
Uniqueness of fixed points of -bistochastic quadratic stochastic operators and associated nonhomogenous Markov chains
Farrukh Mukhamedov, Ahmad Fadillah Embong
In the present paper, we consider a class of quadratic stochastic operators (q.s.o.) called bistochastic q.s.o. We include several properties of bistochastic q.s.o. and…