Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844861 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 15 Pages |
Abstract
We prove a fixed point theorem for a mixed monotone mapping in a metric space endowed with partial order, using a weak contractivity type of assumption. Besides including several recent developments, our theorem can be used to investigate a large class of problems. As an application, we discuss the existence and uniqueness of solution for a periodic boundary value problem.
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Authors
T. Gnana Bhaskar, V. Lakshmikantham,