Split feasibility problem for quasi-nonexpansive multi-valued mappings and total asymptotically strict pseudo-contractive mapping

SS Chang, HWJ Lee, CK Chan, L Wang… - Applied Mathematics and …, 2013 - Elsevier
… to study the split feasibility problem for a family of quasi-nonexpansive multi-valued mappings
and a total … (MSSFP) for a family of multi-valued quasi-nonexpansive mappings and a total …

Common fixed points of a pair of non-expansive mappings with applications to convex feasibility problems

X Qin, SY Cho, H Zhou - Glasgow Mathematical Journal, 2010 - cambridge.org
… for a pair of non-expansive mappings. Strong convergence theorems are established in a
reflexive Banach space. As applications, we consider the convex feasibility problem (CFP) of …

Split feasibility problems for total quasi-asymptotically nonexpansive mappings

XR Wang, S Chang, L Wang, Y Zhao - Fixed Point Theory and …, 2012 - Springer
… The split feasibility problem in an infinite-dimensional real Hilbert space can be found in [2,
4… following split feasibility problem for total quasi-asymptotically nonexpansive mappings in …

On the split feasibility problem and fixed point problem of quasi-ϕ-nonexpansive mapping in Banach spaces

Z Ma, L Wang, S Chang - Numerical Algorithms, 2019 - Springer
… to solve the split feasibility and fixed point problem of quasi-φ-nonexpansive mappings in
Banach spaces. Without the assumption of semi-compactness on the mappings, it is proved …

Convergence theorems for nonexpansive mappings and feasibility problems

W Takahashi, K Shimoji - Mathematical and Computer Modelling, 2000 - Elsevier
… this paper, we introduce an iteration scheme given by finite nonexpansive mappings in …
with the problem of image recovery. Using the results, we consider the problem of finding a …

Halpern's iteration for nonexpansive mappings

G López, V Martín-Márquez, HK Xu - Contemp. Math, 2010 - books.google.com
… split feasibility and the multiplesets split feasibility problems, … nonexpansive mappings and
also for averaged mappings. … many nonexpansive mappings and further for nonexpansive

[PDF][PDF] Strong convergence theorems for a nonexpansive mapping and its applications for solving the split feasibility problem

Q Fan, Z Yao - J. Nonlinear Sci. Appl, 2017 - researchgate.net
feasibility problem. In this paper, based on such research results, we propose some novel
algorithms for the nonexpansive mapping … theorems for solving the split feasibility problem. …

Solving split equality fixed-point problem of quasi-nonexpansive mappings without prior knowledge of operators norms

J Zhao - Optimization, 2015 - Taylor & Francis
… split feasibility problems and multiple-set split feasibility problems, respectively. Inspired by
them, in this paper, we introduce a new choice of the stepsize sequence for the simultaneous …

[PDF][PDF] Applications of the S-iteration process to constrained minimization problems and split feasibility problems

DR Sahu - Fixed point theory, 2011 - researchgate.net
nonexpansive mappings, J. Nonlinear Convex Anal., 8 (2007), 61-79] is further analyzed for
contraction and nonexpansive mappings… fixed points of nonexpansive operators in a Banach …

Iterative approaches to convex feasibility problems in Banach spaces

JG O'Hara, P Pillay, HK Xu - Nonlinear Analysis: Theory, Methods & …, 2006 - Elsevier
… The convex feasibility problem (CFP) of finding a point in the nonempty intersection ⋂ i = 1
… i is assumed to be the fixed point set of a nonexpansive mapping T i : X → X with X a Banach …