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Let be a cone in a Hilbert space , be an accretive mapping (equivalently, be a dissipative mapping) and be a nonexpansive mapping. In this paper, some fixed point theorems for mappings of the type are established. As an application, we utilize the results presented in this paper to study the existence problem of solutions for some kind of nonlinear integral equations in .
A number of fixed point theorems are presented for weakly contractive maps which have weakly sequentially closed graph. Our results automatically lead to new existence theorems for differential inclusions in Banach spaces relative to the weak topology.
Some new fixed point results are established for mappings of the form with compact and pseudocontractive.
The paper is concerned with the Nemitskii operator in Hölder spaces. Namely conditions are given to ensure acting, continuity, Lipschitz and differentiability properties.
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