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2003•Zeitschrift für Analysis und ihre AnwendungenOpen access

Fixed Point Theorems for a Class of Mixed Monotone Operators

Zhandong Liang, Lingling Zhang, Shengjia Li

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Abstract

We study a class of mixed monotone operators with convexity and concavity. In particular, we give conditions, both necessary and sufficient, for the existence and uniqueness of fixed points. Moreover, we sketch a simple application of our main theorem and generalize some previous results.

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What this paper is about

We study a class of mixed monotone operators with convexity and concavity. In particular, we give conditions, both necessary and sufficient, for the existence and uniqueness of fixed points. Moreover, we sketch a simple application of our main theorem and generalize some previous results.

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Available abstract

We study a class of mixed monotone operators with convexity and concavity. In particular, we give conditions, both necessary and sufficient, for the existence and uniqueness of fixed points. Moreover, we sketch a simple application of our main theorem and generalize some previous results.

Key concepts: Monotone polygon, Class (philosophy), Mathematics, Fixed-point theorem, Fixed point, Point (geometry), Pure mathematics, Discrete mathematics

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