Fixed-point theorems of φ concave-(−ψ) convex mixed monotone operators and applications |
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| Authors: | Shaoyuan Xu Baoguo Jia |
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| Affiliation: | a Mathematics and Scientific Computer College, Zhongshan University, Guangzhou 510275, PR China
b Department of Mathematics, Huaibei Coal Industry Teachers College, Huaibei 235000, PR China |
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| Abstract: | In this paper, φ concave-(−ψ) convex operators are introduced and some new existence and uniqueness theorems of fixed points of mixed monotone operators with such concavity and convexity are obtained. Moreover, some applications to nonlinear integral equations on bounded or unbounded regions are given. |
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| Keywords: | Cone and partial order φ concave-(&minus ψ) convex operator Mixed monotone operators Fixed point |
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