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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Veröffentlicht in:Fixed point theory and algorithms for sciences and engineering Jg. 2025; H. 1; S. 23
Hauptverfasser: Jenber, Dagnachew, Zegeye, Habtu, Haile Takele, Mollalgn, Regassa Tufa, Abebe
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 01.12.2025
Springer Nature B.V
Schlagworte:
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
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Abstract 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.
AbstractList 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.
This work presents an inertial method to estimate solutions to the m-tuple split common fixed point problems for strict quasi-Gf-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.
Author Haile Takele, Mollalgn
Zegeye, Habtu
Regassa Tufa, Abebe
Jenber, Dagnachew
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  organization: Department of Mathematics, Bahir Dar University, Department of Mathematics, Addis Ababa Science and Technology University
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  givenname: Habtu
  surname: Zegeye
  fullname: Zegeye, Habtu
  organization: Department of Mathematics, Botswana International University of Science and Technology
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  givenname: Mollalgn
  surname: Haile Takele
  fullname: Haile Takele, Mollalgn
  email: mollalgnhailef@gmail.com
  organization: Department of Mathematics, Bahir Dar University
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  surname: Regassa Tufa
  fullname: Regassa Tufa, Abebe
  organization: Department of Mathematics, University of Botswana
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pseudocontractive mappings
Strict quasi
Generalized
projection mapping
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Snippet 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...
This work presents an inertial method to estimate solutions to the m-tuple split common fixed point problems for strict quasi-Gf-pseudocontractive mappings in...
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SubjectTerms Analysis
Applications of Mathematics
Banach spaces
Differential Geometry
Fixed points (mathematics)
Hilbert space
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Topology
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