Strong convergence theorem by shrinking projection method for new nonlinear mappings in Banach spaces and applications

DOI10.1080/02331934.2016.1276180zbMath1373.49005OpenAlexW2568885995MaRDI QIDQ5277956

Takahashi, Wataru, Ching-Feng Wen, Jen-Chih Yao

Publication date: 12 July 2017

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2016.1276180

zbMATH Keywords

duality mappingfixed-pointgeneralized resolventgeneralized projectionshrinking projection method

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point theorems on manifolds (58C30) Existence theories for problems in abstract spaces (49J27) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (8)

Unnamed Item ⋮ Algorithmic procedure for approximate solution of split problems involving various classes of mappings ⋮ Approximation of common solutions of nonlinear problems involving various classes of mappings ⋮ Unnamed Item ⋮ Strong Convergence Theorems for Bregman Demigeneralized Mappings in Banach Spaces with Applications ⋮ Solution by iteration of split equality problem involving some families of mappings in Banach spaces ⋮ Two strong convergence theorems for the common null point problem in Banach spaces ⋮ The split common null point problem for Bregman generalized resolvents in two Banach spaces

Cites Work

• Unnamed Item
• Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• Strong convergence theorems obtained by a generalized projections hybrid method for families of mappings in Banach spaces
• Convergence theorems for generalized projections and maximal monotone operators in Banach spaces
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Nonlinear maximal monotone operators in Banach space
• Convergence of convex sets and of solutions of variational inequalities
• Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space

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