Geodesic
Common Coincidence- and Fixed-Point Theorems for a Class of Nonlinear Hybrid Mappings
Matematičeskie zametki, Tome 83 (2008) no. 3, pp. 361-369

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The concepts of multiple quasi-compatibility for single-valued and multi-valued mappings are defined. Some common fixed- and coincidence-point theorems for single-valued and multi-valued mappings satisfying a $\phi$-type condition are obtained by an iteration scheme. The conditions are not assumed to be of a contractive type.
Keywords: Hausdorff metric, fixed and coincidence point, compatibility and multiple quasi-compatibility. 
@article{MZM_2008_83_3_a3,
     author = {Yisheng Lai},
     title = {Common {Coincidence-} and {Fixed-Point} {Theorems} for a {Class} of {Nonlinear} {Hybrid} {Mappings}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {361--369},
     publisher = {mathdoc},
     volume = {83},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a3/}
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Yisheng Lai. Common Coincidence- and Fixed-Point Theorems for a Class of Nonlinear Hybrid Mappings. Matematičeskie zametki, Tome 83 (2008) no. 3, pp. 361-369. http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a3/