Original scientific paper

Contraction conditions with perturbed linear operators and applications

Yicheng Liu ; Department of Mathematics and Systems Science,College of Science, National University of Defense Technology, Changsha, China
Xiao Wang ; Department of Mathematics and Systems Science,College of Science, National University of Defense Technology, Changsha, China

Abstract

In this paper, we present some new fixed point theorems for both
single-valued and multi-valued maps controlled by the
contraction conditions with perturbed linear operators in
continuous function spaces. Our results can be applied to various
integral operators. Some previous results are generalized in this
literature. As applications, the existence and uniqueness of
solutions of impulsive periodic boundary value problems and
functional differential inclusions are exhibited in the last section.

Keywords

fixed point theorem; multi-valued mapping; differential inclusions; periodic boundary value problem

Hrčak ID:

53146

URI

https://hrcak.srce.hr/53146

Publication date:

10.6.2010.

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