An inertial method for the solution of M-tuple split common fixed point problems involving strict quasi-Gf-pseudocontractive mappings

This work presents an inertial method to estimate solutions to the m-tuple split common fixed point problems for strict quasi- G f -pseudocontractive mappings in (m+1) Banach spaces. Our approach can also be used to solve the extended split equality fixed point problem. Applications to the solution...

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; p. 23
Main Authors: Jenber, Dagnachew, Zegeye, Habtu, Haile Takele, Mollalgn, Regassa Tufa, Abebe
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.12.2025
Springer Nature B.V
Subjects:
Analysis
Applications of Mathematics
Banach spaces
Differential Geometry
Fixed points (mathematics)
Hilbert space
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Topology
m-tuple split common fixed point problem
pseudocontractive mappings
Strict quasi
Generalized
projection mapping
ISSN:2730-5422
Online Access:Get full text
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Summary:This work presents an inertial method to estimate solutions to the m-tuple split common fixed point problems for strict quasi- G f -pseudocontractive mappings in (m+1) Banach spaces. Our approach can also be used to solve the extended split equality fixed point problem. Applications to the solution of extended split equality issues, such as Extended Split Equality Equilibrium Problem, Extended Split Equality Inclusion Problem, Minimization of Tikhonov Functionals in Banach Spaces and Extended Split Equality Feasibility Problem are demonstrated in the setting of real Banach spaces. To illustrate our conclusions, we end with a numerical example.
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ISSN:2730-5422
DOI:10.1186/s13663-025-00800-w