Browsing by Author "Van Luong, Nguyen"

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    Citation - WoS: 26
    Citation - Scopus: 26
    Coupled Coincidence Points for Mixed Monotone Operators in Partially Ordered Metric Spaces
    (Springer Heidelberg, 2012) Karapinar, Erdal; Karapınar, Erdal; Van Luong, Nguyen; Thuan, Nguyen Xuan; Karapınar, Erdal; Mathematics; Mathematics
    In this paper, we give and prove some coupled coincidence point theorems for mappings F : X x X -> X and g : X -> X in partially ordered metric space X, where F has the mixed g-monotone property. Our results improve and generalize the results of Bhaskar and Lakshmikantham (Nonlinear Anal TMA 65: 1379-1393, 2006), Luong and Thuan (Bull Math Anal Appl 2(4): 16-24, 2010), Harjani et al. (Nonlinear Anal 74: 1749-1760, 2011) and Choudhury et al. (Ann Univ Ferrara 57: 1-16, 2011). We also give some examples to illustrate our results.