TY - JOUR AU - Sang, Yanbin PY - 2017 TI - Fixed point results for generalized contractive mappings involving altering distance functions on complete quasi-metric spaces and applications JO - Journal of Nonlinear Sciences and Applications SP - 1377--1398 VL - 10 IS - 4 AB - In this paper, we introduce \(\alpha-\psi-\phi\)-Jachymski contractive mappings with generalized altering distance functions in the setting of quasi-metric spaces. Some theorems on the existence and uniqueness of fixed points for such mappings via admissible mappings are established. Utilizing above abstract results, we derive common fixed point theorem for two operators and multidimensional fixed point results for nonlinear mappings satisfying different kinds of contractive conditions on partially ordered metric spaces. Moreover, we present some examples and applications in a Fredholm integral equation and an initial value problem for partial differential equation of parabolic type. 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