Viscosity iterative algorithms for fixed point problems of asymptotically nonexpansive mappings in the intermediate sense and variational inequality problems in Banach spaces

Gang Cai; Yekini Shehu; Olaniyi Samuel Iyiola

doi:10.1007/s11075-017-0269-1

Viscosity iterative algorithms for fixed point problems of asymptotically nonexpansive mappings in the intermediate sense and variational inequality problems in Banach spaces

Numerical Algorithms ◽

10.1007/s11075-017-0269-1 ◽

2017 ◽

Vol 76 (2) ◽

pp. 521-553 ◽

Cited By ~ 4

Author(s):

Gang Cai ◽

Yekini Shehu ◽

Olaniyi Samuel Iyiola

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Iterative Algorithms ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Iterative algorithms for solving variational inequalities and fixed point problems for asymptotically nonexpansive mappings in Banach spaces

Numerical Algorithms ◽

10.1007/s11075-016-0121-z ◽

2016 ◽

Vol 73 (3) ◽

pp. 869-906 ◽

Cited By ~ 4

Author(s):

Gang Cai ◽

Yekini Shehu ◽

Olaniyi Samuel Iyiola

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Iterative Algorithms ◽

Fixed Point Problems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces

Journal of Global Optimization ◽

10.1007/s10898-012-9883-6 ◽

2012 ◽

Vol 55 (2) ◽

pp. 437-457 ◽

Cited By ~ 9

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Infinite Family ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Extragradient Methods

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A hybrid iteration scheme for equilibrium problems and common fixed point problems of generalized quasi-ϕ-asymptotically nonexpansive mappings in Banach spaces

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2012-33 ◽

2012 ◽

Vol 2012 (1) ◽

Author(s):

Jing Zhao ◽

Songnian He

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Banach Spaces ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Iteration Scheme ◽

Fixed Point Problems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Strong convergence theorems for variational inequality problems and quasi- $${\phi}$$ -asymptotically nonexpansive mappings

Journal of Global Optimization ◽

10.1007/s10898-011-9744-8 ◽

2011 ◽

Vol 54 (1) ◽

pp. 101-116 ◽

Cited By ~ 5

Author(s):

H. Zegeye ◽

N. Shahzad

Keyword(s):

Variational Inequality ◽

Strong Convergence ◽

Nonexpansive Mappings ◽

Variational Inequality Problems ◽

Convergence Theorems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2013-257 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Ci-Shui Ge ◽

Neng-Fu Yu ◽

Lin Zhao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Equilibrium Problems ◽

Iterative Algorithms ◽

Variable Coefficients ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Generalized Equilibrium

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A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces

Fixed Point Theory and Applications ◽

10.1155/2009/719360 ◽

2009 ◽

Vol 2009 (1) ◽

pp. 719360 ◽

Cited By ~ 11

Author(s):

Prasit Cholamjiak

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Equilibrium Problems ◽

Iterative Scheme ◽

Variational Inequality Problems ◽

Fixed Point Problems

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Convergence analysis for variational inequality problems and fixed point problems in 2-uniformly smooth and uniformly convex Banach spaces

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.08.031 ◽

2012 ◽

Vol 55 (3-4) ◽

pp. 538-546 ◽

Cited By ~ 19

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Convergence Analysis ◽

Banach Spaces ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Uniformly Convex ◽

Uniformly Smooth ◽

Uniformly Convex Banach Spaces

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Strong convergence theorems for variational inequality problems and fixed point problems in uniformly smooth and uniformly convex Banach spaces

Journal of Global Optimization ◽

10.1007/s10898-012-9923-2 ◽

2012 ◽

Vol 56 (4) ◽

pp. 1529-1542 ◽

Cited By ~ 1

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Banach Spaces ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Uniformly Convex ◽

Convergence Theorems ◽

Uniformly Smooth ◽

Uniformly Convex Banach Spaces

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Modified block iterative procedure for solving the common solution of fixed point problems for two countable families of total quasi-ϕ-asymptotically nonexpansive mappings with applications

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2012-198 ◽

2012 ◽

Vol 2012 (1) ◽

Cited By ~ 1

Author(s):

Pongrus Phuangphoo ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Iterative Procedure ◽

Nonexpansive Mappings ◽

Fixed Point Problems ◽

Common Solution ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive ◽

The Common ◽

Modified Block

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Fixed point theorems for a semigroup of total asymptotically nonexpansive mappings in uniformly convex Banach spaces

Opuscula Mathematica ◽

10.7494/opmath.2014.34.1.183 ◽

2014 ◽

Vol 34 (1) ◽

pp. 183 ◽

Cited By ~ 1

Author(s):

Suthep Suantai ◽

Withun Phuengrattana

Keyword(s):

Fixed Point ◽

Banach Spaces ◽

Fixed Point Theorems ◽

Nonexpansive Mappings ◽

Uniformly Convex ◽

Asymptotically Nonexpansive Mappings ◽

Uniformly Convex Banach Spaces ◽

Asymptotically Nonexpansive ◽

Total Asymptotically Nonexpansive Mappings

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