Abstract
In this work, the new concepts, normal product of two set-valued mappings, s-weakly compatible, s-common fixed point and the (\(EA_s\)) property for two pairs of set- valued mappings are introduced, and the s-common fixed point existence theorems for two pairs of set-valued noncompatible mappings under strict contractive condition are proved, without appeal to continuity of any map involved therein and completeness of underlying space. The results presented in this paper generalize, improve, and unify some recent results in this field.
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