Geodesic
A generalization of the common fixed point theorem for normally 2-generalized hybrid mappings in Hilbert spaces
Filomat, Tome 37 (2023) no. 26, p. 9051

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DOI

In this paper, we prove a common fixed point theorem for commutative nonlinear mappings that jointly satisfy a certain condition. A required condition is given as a convex combination of those of a well-known class of nonlinear mappings. From the main theorem of this paper, the common fixed point theorem for nonexpansive mappings, generalized hybrid mappings, and normally 2-generalized hybrid mappings are uniformly derived as corollaries. Our approach expands the applicable range of mappings for existing fixed point theorems to be effective. Using specific mappings, we illustrate the effectiveness.
DOI : 10.2298/FIL2326051K
Classification : 47H10
Keywords: Common fixed point, normally 2-generalized hybrid mapping, nonexpansive mapping, Hilbert space 
Atsumasa Kondo. A generalization of the common fixed point theorem for normally 2-generalized hybrid mappings in Hilbert spaces. Filomat, Tome 37 (2023) no. 26, p. 9051 . doi: 10.2298/FIL2326051K
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     author = {Atsumasa Kondo},
     title = {A generalization of the common fixed point theorem for normally 2-generalized hybrid mappings in {Hilbert} spaces},
     journal = {Filomat},
     pages = {9051 },
     year = {2023},
     volume = {37},
     number = {26},
     doi = {10.2298/FIL2326051K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2326051K/}
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