Existence and uniqueness of fixed points for some mixed monotone operators |
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Authors: | Zengqin Zhao |
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Institution: | School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, People’s Republic of China |
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Abstract: | In this paper, we introduce the e-concave-convex operator. Without any compact or continuous assumptions, we prove the existence and uniqueness of fixed points, giving monotone iterative sequences for the unique fixed point for the operator. Finally, we apply the results to an integral equation of polynomial type which possesses items of measurable functions. |
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Keywords: | 47H10 47H07 45G |
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