An iterative algorithm for fixed point problem and convex minimization problem with applications

DOI10.1186/s13663-014-0253-6zbMath1333.47050OpenAlexW2098160432WikidataQ59436155 ScholiaQ59436155MaRDI QIDQ2017665

Gang Cai, Yekini Shehu

Publication date: 23 March 2015

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-014-0253-6

zbMATH Keywords

strong convergenceHilbert spacesconvex minimization problemstrictly pseudocontractive mapping\(k\)-strictly pseudo contractive mapping

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Unnamed Item ⋮ On solving of constrained convex minimize problem using gradient projection method ⋮ Unnamed Item ⋮ An iterative method for solving minimization, variational inequality and fixed point problems in reflexive Banach spaces ⋮ A viscosity-proximal gradient method with inertial extrapolation for solving certain minimization problems in Hilbert space ⋮ Simultaneous iteration for variational inequalities over common solutions for finite families of nonlinear problems ⋮ An iterative method for solution of finite families of split minimization problems and fixed point problems ⋮ Strong convergence results for convex minimization and monotone variational inclusion problems in Hilbert space

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