
In this paper we study the impact of weakly Picard operator theory, [see I. A. Rus, Picard operators and applications, Sc. Math. Japonicae, 58 (2003), No. 1, 191–219] on the following problem: what can we do in order to find conditions under which a given operator is a weakly Picard operator?
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, \(L^*\)-space, order unit, metric space, iterates of an operator, order unit with respect to a subset, Positive linear operators and order-bounded operators, fixed point partition of a set with respect to an operator, Fixed-point theorems, \(L\)-space, normed space, positive linear operator, \(L\)-space linear lattice, weakly Picard operator
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, \(L^*\)-space, order unit, metric space, iterates of an operator, order unit with respect to a subset, Positive linear operators and order-bounded operators, fixed point partition of a set with respect to an operator, Fixed-point theorems, \(L\)-space, normed space, positive linear operator, \(L\)-space linear lattice, weakly Picard operator
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