Fixed Point Theorems for (α-Ψ)-contractive Type Mappings in Uniform Spaces and Applications

Kieu Phuong Chi, Tran Van An, Le Khanh Hung

Abstract


In this paper, we prove some fixed
point theorems for generalized $(\alpha$-$\Psi)$-contractive
mappings in uniform spaces and apply them to study the
existences-uniqueness problem for a class of nonlinear integral
equations with unbounded deviations. We also give some examples to
show that our results are effective.


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