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In this paper, we first introduce the concepts of generalized (ψ,f)λ-expansive mappings and generalized (ϕ,g,h)λ-weakly expansive mappings designed for three mappings. Then we establish some common fixed point results for such two new types of mappings in partial b-metric spaces. These results generalize and extend the main results of Karapınar et al. (J. Inequal. Appl. 2014:22, 2014), Nashine et al. (Fixed Point Theory Appl. 2013:203, 2013) and many comparable results from the current literature. Moreover, some examples and an application to a system of integral equations are given here to illustrate the usability of the obtained results.

Common fixed point theorems for generalized expansive mappings in partial b-metric spaces and an application