Common Fixed Point for Set and Single Valued Functions without Continuity and Compatibility
Mathematica Moravica, Tome 11 (2007) no. 1.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We prove some common fixed point theorems for set and single valued mappings without assuming continuity and compatibility. We show that completeness of the whole space is not necessary for existence of common fixed point. To prove the theorems we use a new noncompatible condition that is weak commutativity of type (KB). We also prove a fixed point theorem for sequence of set valued mappings.
Mots-clés : Common fixed point, noncompatible maps, weak commutativity of type (KB) 
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Bhavana Deshpande. Common Fixed Point for Set and Single Valued Functions without Continuity and Compatibility. Mathematica Moravica, Tome 11 (2007) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2007_11_1_a3/