The aim of this paper is to present some common xed point theorems for g-weakly isotone increasing
mappings satisfying a generalized contractive type condition under a continuous function in the framework
of ordered b-metric spaces. Our results extend the results of Nashine et al. [H. K. Nashine, B. Samet,
C. Vetro, Monotone generalized nonlinear contractions and xed point theorems in ordered metric spaces,
Math. Comput. Modelling 54 (2011) 712{720] from the context of ordered metric spaces to the setting of
ordered b-metric spaces. Moreover, some examples of applications of the main result are given. Finally, we
establish an existence theorem for a solution of an integral equation.
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کلید واژگان :
Common xed point, b-metric space, partially ordered set, weakly isotone increasing mappings
