TY - BOOK TI - Metric and generalized projection operators in Banach spaces: properties and applications AU - Y. I. Alber PB - Lecture Notes in Pure and Appl. Math., Dekker PY - 1996 DA - 1996// CY - New York ID - Alber 1996 ER - TY - JOUR TI - The implicit midpoint rule for nonexpansive mappings AU - M. A. Alghamdi AU - M. A. Alghamdi AU - N. Shahzad AU - H.-K. Xu JO - Fixed Point Theory Appl. PY - 2014 DA - 2014// VL - 2014 ID - Alghamdi2014 ER - TY - JOUR TI - From optimization and variational inequalities to equilibrium problems AU - E. Blum AU - W. Oettli JO - Math. Student PY - 1994 DA - 1994// VL - 63 ID - Blum1994 ER - TY - JOUR TI - Construction of fixed points of nonlinear mappings in Hilbert spaces AU - F. E. Browder AU - W. V. Petryshyn JO - J. Math. Anal. Appl. PY - 1967 DA - 1967// VL - 20 ID - Browder1967 ER - TY - JOUR TI - An example of the Mann iteration method for Lipschitz pseudocontractions AU - C. E. Chidume AU - S. A. Mutangadura JO - Proc. Amer. Math. Soc. PY - 2001 DA - 2001// VL - 129 ID - Chidume2001 ER - TY - JOUR TI - Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings AU - C. E. Chidume AU - N. Shahzad JO - Nonlinear Anal. PY - 2005 DA - 2005// VL - 62 ID - Chidume2005 ER - TY - JOUR TI - Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings AU - C. E. Chidume AU - H. Zegeye AU - N. Shahzad JO - Fixed Point Theory Appl. PY - 2005 DA - 2005// VL - 2005 ID - Chidume2005 ER - TY - JOUR TI - An example concerning fixed points AU - A. Genel AU - J. Lindenstrauss JO - Israel J. Math. PY - 1975 DA - 1975// VL - 22 ID - Genel1975 ER - TY - BOOK TI - Uniform convexity, hyperbolic geometry, and nonexpansive mappings AU - K. Goebel AU - S. Reich PB - Marcel Dekker PY - 1984 DA - 1984// CY - New York ID - Goebel1984 ER - TY - JOUR TI - On the convergence of the proximal point algorithm for convex optimization AU - O. Güler JO - SIAM J. Control Optim. PY - 1991 DA - 1991// VL - 29 ID - Güler1991 ER - TY - JOUR TI - Fixed points of nonexpanding maps AU - B. Halpern JO - Bull. Amer. Math. Soc. PY - 1967 DA - 1967// VL - 73 ID - Halpern 1967 ER - TY - JOUR TI - Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings AU - H. Iiduka AU - W. Takahashi JO - Nonlinear Anal. PY - 2005 DA - 2005// VL - 61 ID - Iiduka2005 ER - TY - JOUR TI - Fixed points by a new iteration method AU - S. Ishikawa JO - Proc. Amer. Math. Soc. PY - 1974 DA - 1974// VL - 44 ID - Ishikawa 1974 ER - TY - JOUR TI - Fixed points and iteration of a nonexpansive mapping in a Banach space AU - S. Ishikawa JO - Proc. Amer. Math. Soc. PY - 1976 DA - 1976// VL - 59 ID - Ishikawa 1976 ER - TY - JOUR TI - Strong convergence of proximal-type algorithm in a Banach space AU - S. Kamimura AU - W. Takahashi JO - SIAM J. Optim. PY - 2002 DA - 2002// VL - 13 ID - Kamimura2002 ER - TY - JOUR TI - Approximation de points fixes de contractions AU - P.-L. Lions JO - C. R. Acad. Sci. Sér. A-B PY - 1977 DA - 1977// VL - 284 ID - Lions1977 ER - TY - JOUR TI - The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings AU - Q.-H. Liu JO - J. Math. Anal. Appl. PY - 1990 DA - 1990// VL - 148 ID - Liu1990 ER - TY - JOUR TI - Strong convergence of projected subgradient methods for nonsmooth and non-strictly convex minimization AU - P. E. Maingé AU - JO - Set-Valued Anal. PY - 2008 DA - 2008// VL - 16 ID - Maingé2008 ER - TY - JOUR TI - Mean value methods in iteration AU - W. R. Mann JO - Proc. Amer. Math. Soc. PY - 1953 DA - 1953// VL - 4 ID - Mann1953 ER - TY - JOUR TI - Strong convergence of the CQ method for fixed point processes AU - C. Matinez-Yanes AU - H.-K. Xu JO - Nonlinear Anal. PY - 2006 DA - 2006// VL - 64 ID - Matinez-Yanes2006 ER - TY - JOUR TI - Viscosity approximation methods for fixed point problems AU - A. Moudafi JO - J. Math. Anal. Appl. PY - 2000 DA - 2000// VL - 241 ID - Moudafi 2000 ER - TY - BOOK TI - Nonlinear mappings of monotone type AU - D. Pascali AU - S. Sburlan PB - Sijthoff & Nordhoff International Publishers PY - 1978 DA - 1978// CY - Alphen aan den Rijn ID - Pascali1978 ER - TY - JOUR TI - Weak convergence theorems for nonexpansive mappings in Banach spaces AU - S. Reich JO - J. Math. Anal. Appl. PY - 1979 DA - 1979// VL - 67 ID - Reich 1979 ER - TY - JOUR TI - Strong convergence theorems for resolvents of accretive operators in Banach spaces AU - S. Reich JO - J. Math. Anal. Appl. PY - 1980 DA - 1980// VL - 75 ID - Reich 1980 ER - TY - JOUR TI - Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces AU - N. Shioji AU - W. Takahashi JO - Proc. Amer. Math. Soc. PY - 1997 DA - 1997// VL - 125 ID - Shioji1997 ER - TY - BOOK TI - Nonlinear functional analysis AU - W. Takahashi PB - Fixed point theory and its applications, Yokohama Publishers PY - 2000 DA - 2000// CY - Yokohama ID - Takahashi 2000 ER - TY - JOUR TI - New iteration process for pseudocontractive mappings with convergence analysis AU - B. S. Thakur AU - R. Dewangan AU - M. Postolache JO - Fixed Point Theory Appl. PY - 2015 DA - 2015// VL - 2015 ID - Thakur2015 ER - TY - JOUR TI - Approximation of fixed points of nonexpansive mappings AU - R. Wittmann JO - Arch. Math. (Basel) PY - 1992 DA - 1992// VL - 58 ID - Wittmann1992 ER - TY - JOUR TI - Another control condition in an iterative method for nonexpansive mappings AU - H.-K. Xu JO - Bull. Austral. Math. Soc. PY - 2002 DA - 2002// VL - 65 ID - Xu 2002 ER - TY - JOUR TI - Strong convergence of an iterative method for nonexpansive and accretive operators AU - H.-K. Xu JO - J. Math. Anal. Appl. PY - 2006 DA - 2006// VL - 314 ID - Xu2006 ER - TY - JOUR TI - The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces AU - H.-K. Xu AU - M. A. Alghamdi AU - N. Shahzad JO - Fixed Point Theory Appl. PY - 2015 DA - 2015// VL - 2015 ID - Xu2015 ER - TY - JOUR TI - The implicit midpoint rule for nonexpansive mappings in Banach spaces AU - H.-K. Xu AU - M. A. Alghamdi AU - N. Shahzad JO - Fixed Point Theory PY - 2016 DA - 2016// VL - 17 ID - Xu2016 ER - TY - JOUR TI - Coupling Ishikawa algorithms with hybrid techniques for pseudocontractive mappings AU - Y.-H. Yao AU - M. Postolache AU - Y.-C. Liou JO - Fixed Point Theory Appl. PY - 2013 DA - 2013// VL - 2013 ID - Yao2013 ER - TY - JOUR TI - Strong convergence of a proximal point algorithm with general errors AU - Y.-H. Yao AU - N. Shahzad JO - Optim. Lett. PY - 2012 DA - 2012// VL - 6 ID - Yao2012 ER - TY - JOUR TI - Modified semi-implicit midpoint rule for nonexpansive mappings AU - Y.-H. Yao AU - N. Shahzad AU - Y.-C. Liou JO - Fixed Point Theory Appl. PY - 2015 DA - 2015// VL - 2015 ID - Yao2015 ER - TY - JOUR TI - An iterative approximation method for a common fixed point of two pseudocontractive mappings AU - H. Zegeye JO - ISRN Math. Anal. PY - 2011 DA - 2011// VL - 2011 ID - Zegeye 2011 ER - TY - JOUR TI - Viscosity Approximation methods for a common fixed point of finite family of nonexpansive mappings AU - H. Zegeye AU - N. Shahzad JO - Appl. Math. Comput. PY - 2007 DA - 2007// VL - 191 ID - Zegeye2007 ER - TY - JOUR TI - A hybrid approximation method for equilibrium, variational inequality and fixed point problems AU - H. Zegeye AU - N. Shahzad JO - Nonlinear Anal. Hybrid Syst. PY - 2010 DA - 2010// VL - 4 ID - Zegeye2010 ER - TY - JOUR TI - Strong convergence theorems for a finite family of nonexpansive mappings and semigroups via the hybrid method AU - H. Zegeye AU - N. Shahzad JO - Nonlinear Anal. PY - 2010 DA - 2010// VL - 72 ID - Zegeye2010 ER - TY - JOUR TI - Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces AU - H. Zegeye AU - N. Shahzad JO - Optim. Lett. PY - 2011 DA - 2011// VL - 5 ID - Zegeye2011 ER - TY - JOUR TI - Viscosity approximation methods for pseudocontractive mappings in Banach spaces AU - H. Zegeye AU - N. Shahzad AU - T. Mekonen JO - Appl. Math. Comput. PY - 2007 DA - 2007// VL - 185 ID - Zegeye2007 ER - TY - BOOK TI - Nonlinear functional analysis and its applications AU - E. Zeidler PB - Part II: Monotone Operators, Springer-Verlag PY - 1990 DA - 1990// CY - New York ID - Zeidler1990 ER -