In this paper, a new type of graph contractive multi-valued mappings in a metric space with a directed graph is introduced and studied. A common fixed point theorem of those two multi-valued mappings ...

This is a preview. Log in through your library . Abstract Two examples of Galois connections and their dual forms are considered. One of them is applied to formulate a criterion when a given subset of ...

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Fixed point theory is a cornerstone in modern analysis, offering pivotal tools for proving the existence and uniqueness of solutions to equations arising in diverse scientific and engineering contexts ...

Fixed point theoremsvital tools for mathematicianscan seem esoteric, but fixed points actually crop up every now and then in unexpected places which you might not readily associate with mathematics ...

Fixed-Point Theorems These somewhat implausible laws state that points must reappear in their original positions when the surfaces on which they lie undergo certain deformations. Their practical uses ...