@Article{Alber1996, author="Y. I. Alber", title="Metric and generalized projection operators in Banach spaces: properties and applications. ", journal="In: Kartsatos, AG (ed.) Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, Lecture Notes Pure Appl. Math.", year="1996", pages=" 15–50. ", volume="178" } @Article{Alber1997, author="Y. Alber, D. Butnariu", title="Convergence of Bregman projection methods for solving consistent convex feasibility problems in reflexive Banach spaces", journal=" J. Optim. Theory Appl.", year="1997", pages="33–61. ", volume="92" } @Book{Barbu2012, author=" V. Barbu, T. Precupanu", title="Convexity and Optimization in Banach Spaces", year="2012", publisher="Springer", address="Dordrecht" } @Article{Bauschke2001, author=" H. H. Bauschke, J. M. Borwein, P. L. Combettes", title=" Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces", journal=" Commun. Contemp. Math.", year="2001", pages=" 615–647. ", volume="3" } @Article{Blum1994, author="E. Blum, W. Oettli", title="From optimization and variational inequalities to equilibrium problems", journal=" Math. Student", year="1994", pages="123–145.", volume="63" } @Article{Bregman1967, author=" L. M. Bregman", title="The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming", journal="USSR Comput. Math. Math. Phys.", year="1967", pages="200–217. ", volume="7" } @Article{Bruck1993, author="R. Bruck, T. Kuczumow, S. Reich", title="Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property", journal="Colloq. Math.", year="1993", pages="169–179. ", volume="65" } @Article{Butnariu2003, author="D. Butnariu, A. N. Iusem, C. Zălinescu", title=" On uniform convexity, total convexity and convergence of the proximal points and outer Bregman projection algorithms in Banach spaces", journal=" J. Convex Anal.", year="2003", pages=" 35–61. ", volume="10" } @Article{Butnariu2006, author="D. Butnariu, E. Resmerita", title="Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces", journal="Abstr. Appl. Anal.", year="2006", pages="39 pages. ", volume="2006" } @Article{Censor1981, author="Y. Censor, A. Lent", title="An iterative row-action method for interval convex programming", journal=" J. Optim. Theory Appl.", year="1981", pages="321–353. ", volume="34" } @Article{Chen2015, author="M. Chen, J. Bi, Y. Su", title=" Hybrid iterative algorithm for finite families of countable Bregman quasi-Lipschitz mappings with applications in Banach spaces", journal="J. Inequal. Appl.", year="2015", pages="19 pages. ", volume="2015" } @Article{Chen1993, author=" G. Chen, M. Teboulle", title="Convergence analysis of a proximal-like minimization algorithm using Bregman functions", journal="SIAM J. Optim.", year="1993", pages=" 538–543. ", volume="3" } @Article{Goebel1972, author=" K. Goebel, W. A. Kirk", title="A fixed point theorem for asymptotically nonexpansive mappings", journal="Proc. Amer. Math. Soc.", year="1972", pages="171–174.", volume="35" } @Article{Hao2013 , author=" Y. Hao", title="Some results on a modified Mann iterative scheme in a reflexive Banach space", journal="Fixed Point Theory Appl.", year="2013 ", pages=" 14 pages. ", volume="2013 " } @Article{Hecai2013 , author="Y. Hecai, L. Aichao", title="Projection algorithms for treating asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense", journal=" J. Inequal. Appl.", year="2013 ", pages="15 pages.", volume="2013 " } @Article{Inchan2008, author=" I. Inchan", title="Strong convergence theorems of modified Mann iteration methods for asymptotically nonexpansive mappings in Hilbert spaces", journal="Int. J. Math. Anal.", year="2008", pages="1135–1145. ", volume="2" } @Article{Kohsaka2004, author="F. Kohsaka, W. Takahashi", title="Strong convergence of an iterative sequence for maximal monotone operators in a Banach space", journal="Abstr. Appl. Anal.", year="2004", pages=" 239–249. ", volume="3" } @Article{Martín-Márquez2013, author=" V. Martín-Márquez, S. Reich, S. Sabach", title=" Iterative methods for approximating fixed points of Bregman nonexpansive operators", journal=" Discrete Contin. Dyn. Syst. Ser. S", year="2013", pages="1043–1063. ", volume="6" } @Article{Martinet1970, author=" B. Martinet", title="Regularisation d’inequations variationnelles par approximations successives", journal="Rev. Franaise Informat. Recherche Oprationnelle", year="1970", pages=" 154–158. ", volume="4" } @Article{Naraghirad2013, author="E. Naraghirad, J.-C. Yao", title=" Bregman weak relatively nonexpansive mappings in Banach spaces", journal="Fixed Point Theory Appl.", year="2013", pages="43 pages. ", volume="2013" } @Article{Qin2011, author="X. Qin, S. Huang, T. Wang", title="On the convergence of hybrid projection algorithms for asymptotically quasi-\(\phi\)-nonexpansive mappings", journal="Comput. Math. Appl.", year="2011", pages="851–859. ", volume="61" } @Article{Qin2012 , author="X. Qin, L. Wang", title="On asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense", journal="Abstr. Appl. Anal.", year="2012 ", pages="13 pages.", volume="2012 " } @Article{Reich2009, author="S. Reich, S. Sabach", title="A strong convergence theorem for a proximal-type algorithm in reflexive Banach spaces", journal=" J. Nonlinear Convex Anal.", year="2009", pages="471–485.", volume="10" } @Article{Reich2010, author=" S. Reich, S. Sabach", title="Two strong convergence theorems for a proximal method in reflexive Banach spaces", journal=" Numer. Funct. Anal. Optim.", year="2010", pages=" 22–44. ", volume="31" } @Article{Reich2010, author="S. Reich, S. Sabach", title="Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces", journal="Nonlinear Anal.", year="2010", pages="122–135. ", volume="73" } @Article{Reich2011, author="S. Reich, S. Sabach", title="Existence and approximation of fixed points of Bregman firmly nonexpansive mappings in reflexive Banach spaces", journal=" In: Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer Optim. Appl.", year="2011", pages="301–316. ", volume="49" } @Article{Schu1991, author="J. Schu", title=" Weak and strong convergence to fixed points of asymptotically nonexpansive mappings", journal="Bull. Austral. Math. Soc.", year="1991", pages="153–159. ", volume="43" } @Article{Suantai2012, author="S. Suantai, Y. J. Cho, P. Cholamjiak", title="Halpern’s iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces", journal=" Comput. Math. Appl.", year="2012", pages="489–499. ", volume="64" } @Article{Takahashi2008, author="S. Takahashi, W. Takahashi", title="Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space", journal=" Nonlinear Anal.", year="2008", pages=" 1025–1033. ", volume="69" } @Article{Takahashi2008, author="W. Takahashi, Y. Takeuchi, R. Kubota", title="Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces", journal="J. Math. Anal. Appl.", year="2008", pages="276–286. ", volume="341" } @Article{Tomizawa2014, author="Y. Tomizawa", title="A strong convergence theorem for Bregman asymptotically quasi-nonexpansive mappings in the intermediate sense", journal="Fixed Point Theory Appl.", year="2014", pages=" 14 pages. ", volume="2014" } @Article{Yao2014 , author=" Y.-H. Yao, M. Postolache, S. M. Kang", title="Strong convergence of approximated iterations for asymptotically pseudocontractive mappings", journal="Fixed Point Theory Appl.", year="2014 ", pages=" 13 pages. ", volume="2014 " } @Article{Yao2015 , author=" Y.-H. Yao, N. Shahzad, Y.-C. Liou", title="Modified semi- implicit midpoint rule for nonexpansive mappings", journal=" Fixed Point Theory Appl.", year="2015 ", pages=" 15 pages.", volume="2015 " } @Article{Yuan2012 , author=" Q. Yuan", title="Some results on asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense", journal="J. Fixed Point Theory", year="2012 ", pages=" Article ID 1.", volume="2012 " } @Book{Zălinescu2002, author="C. Zălinescu", title="Convex Analysis in General Vector Spaces", year="2002", publisher=" World Scientific", address=" River Edge" }