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Fixed point theorems in piecewise continuous function spaces and applications to some nonlinear problems
Author(s) -
Liu Yicheng,
Wu Jun
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2809
Subject(s) - mathematics , uniqueness , piecewise , fixed point theorem , contraction (grammar) , nonlinear system , continuous function (set theory) , mathematical analysis , fixed point , contraction mapping , function space , function (biology) , medicine , physics , quantum mechanics , evolutionary biology , biology
The piecewise continuous function space is an important state space in various nonlinear problems. In this paper, we establish some new fixed point theorems for the perturbed contraction operators in piecewise continuous function spaces. Our results can be applied to various integral operators. Some previous results are improved in this literature. As applications, the existence and uniqueness of solutions of impulsive anti‐periodic boundary value problems and the Lasota–Wazewska models with delays are exhibited at last two sections. Copyright © 2013 John Wiley & Sons, Ltd.