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We present the iterated function systems of generalized rational contractive mappings in Hausdorff semi metric spaces. We also study the well-posedness of attractors based problems of generalized rational contractive operator in the framework of semi metric spaces. An example is presented to support the results proved therein. These results extend, improve and generalize many results in the existing literature. [ABSTRACT FROM AUTHOR]

We present common fixed point results of finite family of set-valued mappings satisfying generalized graphic contractions on set-valued domain endowed with a directed graph. Some examples are presented to support the results proved therein. Consequently, our results unify, improve and generalize various comparable known results. [ABSTRACT FROM AUTHOR]