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Abstract. Nonlinear equations in a lattice normed space are considered. Solvability conditions are obtained. They generalize and make somewhat more precise the Ostrowski result for equations with differentiable mappings in a Banach space. Besides, perturbations of differentiable mappings are investigated. Moreover, existence of positive solutions of differentiable maps and an estimate from below for them are established.
AMS Subject Classification
(1991): 46B42, 47H15
Keyword(s):
Banach lattices,
nonlinear equations,
solvability
Received April 6, 1995. (Registered under 5719/2009.)
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