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Applicable Analysis
An International Journal
Volume 31, 1988 - Issue 3
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Original Articles

Fixed points of mixed monotone operators with applications

Pages 215-224 | Published online: 02 May 2007

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Ya Ping Fang, Jong Kyu Kim & Nan Jing Huang. (2007) A Mixed Mann Iteration Process for Fixed Points of Mixed Increasing Operators in Ordered Banach Spaces. Numerical Functional Analysis and Optimization 28:1-2, pages 43-51.
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Yuan Meng, Conghong He, Renhao Ma & Huihui Pang. (2023) Existence and Uniqueness of Non-Negative Solution to a Coupled Fractional q-Difference System with Mixed q-Derivative via Mixed Monotone Operator Method. Mathematics 11:13, pages 2941.
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Xinqiu Zhang, Lishan Liu & Yonghong Wu. (2020) New fixed point theorems for the sum of two mixed monotone operators of Meir–Keeler type and their applications to nonlinear elastic beam equations. Journal of Fixed Point Theory and Applications 23:1.
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Hojjat Afshari, Mojtaba Sajjadmanesh & Dumitru Baleanu. (2020) Existence and uniqueness of positive solutions for a new class of coupled system via fractional derivatives. Advances in Difference Equations 2020:1.
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Jinxian Sun, Xing-Bin Pan, Yihong Du, Zhaoli Liu & Zhitao Zhang. (2020) Professor Dajun Guo: a true mathematician and educator. SN Partial Differential Equations and Applications 1:5.
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Zhi-Wei Lv. (2020) Existence of Positive Solution for Fractional Differential Systems with Multipoint Boundary Value Conditions. Journal of Function Spaces 2020, pages 1-9.
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Guotao Wang, Xueyan Ren, Lihong Zhang & Bashir Ahmad. (2019) Explicit Iteration and Unique Positive Solution for a Caputo-Hadamard Fractional Turbulent Flow Model. IEEE Access 7, pages 109833-109839.
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Xinqiu Zhang, Lishan Liu, Yonghong Wu & Yumei Zou. (2018) Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition. Advances in Difference Equations 2018:1.
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Qilin Song & Zhanbing Bai. (2018) Positive solutions of fractional differential equations involving the Riemann–Stieltjes integral boundary condition. Advances in Difference Equations 2018:1.
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Mohd. Sarfaraz, Kottakkaran Sooppy Nisar, Ahmed Morsy & Md. Kalimuddin Ahmad. (2018) New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces. Journal of Inequalities and Applications 2018:1.
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Xinqiu Zhang, Lishan Liu & Yumei Zou. (2018) Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations. Journal of Function Spaces 2018, pages 1-9.
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H. R. Marasi, H. Afshari, M. Daneshbastam & C. B. Zhai. (2017) Fixed points of mixed monotone operators for existence and uniqueness of nonlinear fractional differential equations. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) 52:1, pages 8-13.
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Hong Gang Li, Li Pei Li, Ji Ming Zheng & Mao Ming Jin. (2014) Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with ( α , λ ) - N O D S M mappings in ordered Banach spaces. Fixed Point Theory and Applications 2014:1.
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Xinguang Zhang, Lishan Liu & Yonghong Wu. (2014) The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium. Applied Mathematics Letters 37, pages 26-33.
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Xinsheng Du. (2014) New Fixed Point Theorems of Mixed Monotone Operators. Applied Mathematics 05:03, pages 352-357.
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Lingling Zhang, Noriaki Yamazaki & Rui Guo. (2014) Positive Solutions for Impulsive Differential Equations with Mixed Monotonicity and Optimal Control. Abstract and Applied Analysis 2014, pages 1-11.
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