Convergence Theorem for Finding Common Fixed Points of N-generalized Bregman Nonspreading Mapping and Solutions of Equilibrium Problems in Banach Spaces

키워드

참고문헌 (46)

1. H. A. Abass, "An inertial forward-backward splitting method for approximating solutions of certain optimization problems", J. Nonlinear Funct. Anal, 2020, pp.20~ (2020)
2. T. O. Alakoya, "Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems", Optimization, 70(3), pp.545~574 (2021), Informa UK Limited[DOI]
3. B. Ali, "Existence theorems for attractive points of semigroups of Bregman generalized nonspreading mappings in Banach spaces", Adv. Oper. Theory, 2(3), pp.257~268 (2017)
4. K. O. Aremu, "On the proximal point algorithm and demimetric mappings in CAT(0)spaces", Demonstr. Math, 51, pp.277~294 (2018)
5. H. H. Bauschke, "Legendre functions and the method of random Bregman projection", J. Convex Anal, 4, pp.27~67 (1997)
6. H. H. Bauschke, "Essential smoothness, essential strict convexity and Legendre functions in Banach space", Comm. Contemp. Math, 3, pp.615~647 (2001)
7. E. Blum, "From optimization and variational inequalities to equilibrium problems", Math Stud, 63, pp.123~145 (1994)
8. J. M. Borwein, "A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept", J. Nonlinear Convex Anal, 12, pp.161~184 (2011)
9. D. Butnariu, "Totally convex functions for fixed points computational and infinite dimensional optimization" (2000), Kluwer Academic Publishers
10. D. Butnariu, "Bregman distances, totally convex functions and a method for solving operator equations in Banach spaces", Abstr. Appl. Anal, pp.1~39 (2006)
11. P. Daniele, "Equilibrium problems and variational models" (2003), Kluwer Academic Publications
12. N. Hussain, "Existence of common fixed points using Bregman nonexpansive retracts and Bregman functions in Banach spaces", Fixed Point Theory Appl, 2013, pp.113~ (2013)
13. C. Izuchukwu, "Proximal-type algorithms for split minimization problem in p-uniformly convex metric space", Numer. Algorithms, 82(3), pp.909~935 (2019)
14. L. O. Jolaoso, "A parallel combination extragradient method with Armijo line searching for finding common solutions of finite families of equilibrium and fixed point problems", Rendiconti del Circolo Matematico di Palermo Series 2, 69(3), pp.711~735 (2020), Springer Science and Business Media LLC[DOI]
15. L. O. Jolaoso, "Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space", Optimization, 70(2), pp.387~412 (2021), Informa UK Limited[DOI]
16. L. O. Jolaoso, "On generalized Bregman nonspreading mappings and zero points of maximal monotone operator in a reflexive Banach space", Port. Math, 76, pp.229~258 (2019)[DOI]
17. L. O. Jolaoso, "A unified algorithm for solving split generalized mixed equilibrium problem and fixed point of nonspreading mapping in Hilbert space", Demonstr. Math, 51, pp.211~232 (2018)
18. L. O. Jolaoso, "A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem", Comput. Appl. Math, 39(1), pp.1~28 (2020)
19. Lateef Olakunle Jolaoso, "A Strong Convergence Theorem for Solving Pseudo-monotone Variational Inequalities Using Projection Methods", Journal of Optimization Theory and Applications, 185(3), pp.744~766 (2020), Springer Science and Business Media LLC[DOI]
20. G. Kassay, "Iterative methods for solving system of variational inequalities in reflexive Banach spaces", SIAM J. Optim, 21(4), pp.1319~1344 (2011)
21. K. R. Kazmi, "Common solution to an equilibrium problem and a fixed point problem for an asymptotically quasi-φ-nonexpansive mapping in intermediate sense", RACSAM, 111, pp.877889~ (2017)
22. Kaleem Raza Kazmi, "Generalized equilibrium and fixed point problems for Bregman relatively nonexpansive mappings in Banach spaces", Journal of Fixed Point Theory and Applications, 20(4) (2018), Springer Science and Business Media LLC[DOI]
23. F. Kohsaka, "Nonlinear Mathematics for Uncertainty and its Applications", pp.403~410 (2011)
24. F. Kohsaka, "Proximal point algorithms with Bregman functions in Banach space", J. Nonlinear Convex Anal, 6, pp.505523~ (2005)
25. L. -J. Lin, "Attractive point theorems for generalized nonspreading mappings in Banach spaces", J. nonlinear and convex analysis, 14(1), pp.1~20 (2013)
26. A. Moudafi, "Second order differential proximal methods for equilibrium problems", J. Inequal. Pure Appl. Math, 4(1), pp.17~ (2003)
27. E. Naraghirad, "Bregman weak relatively nonexpansive mappings in Banach spaces", Fixed Point Theory Appl, 2013 (2013)
28. F. U. Ogbuisi, "On split generalized mixed equilibrium problems and fixed point problems with no prior knowledge of operator norm", J. Fixed Point Theory Appl, 19(3), pp.2109~2128 (2016)
29. F. U. Ogbuisi, "Convergence analysis of common solution of certain nonlinear problems", Fixed Point Theory, 19(1), pp.335~358 (2018)
30. G. N. Ogwo, "A viscosity iterative algorithm for a family of monotone inclusion problems in an Hadamard space", Bull. Belg. Math. Soc. Simon Stevin, 27, pp.127~152 (2020)
31. O. K. Oyewole, "A strong convergence algorithm for a fixed point constrained split null point problem", Rendiconti del Circolo Matematico di Palermo Series 2, 70(1), pp.389~408 (2021), Springer Science and Business Media LLC[DOI]
32. K. O. Oyewole, "On approximation of common solution of finite family of mixed equilibrium problems with µ-η relaxed monotone operator in a Banach space", Politehin. Uni. Bucharest Sci. Bull. Ser. A Appl. Math. Phys, 80(1), pp.175~190 (2018)
33. S. Reich, "A strong convergence theorem for proximal type-algorithm in reflexive Banach spaces", J. Nonlinear Convex Anal, 10, pp.471~485 (2009)
34. S. Reich, "Two strong convergence theorem for a proximal method in reflexive Banach spaces", Numer. Funct. Anal. Optim, 31(13), pp.22~44 (2010)
35. S. Reich, "Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces", Nonlinear Anal, 73(1), pp.122~135 (2010)
36. S. Reich, "Three strong convergence theorems regarding iterative methods for solving equilibrium problems in reflexive Banach spaces", Contemp. Math, 568, pp.225240~ (2012)
37. S. Sabach, "Products of finite many resolvents of maximal monotone mappings in reflexive Banach space", SIAM J. Optim, 21, pp.1289~1308 (2011)
38. A. Taiwo, "Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces", Numerical Algorithms, 86(4), pp.1359~1389 (2021), Springer Science and Business Media LLC[DOI]
39. A. Taiwo, "A modified Halpern algorithm for approximating a common solution of split equality convex minimization problem and fixed point problem in uniformly convex Banach spaces", Comput. Appl. Math, 38(2) (2019)
40. A. Taiwo, "Parallel hybrid algorithm for solving pseudomonotone equilibrium and Split Common Fixed point problems", Bull. Malays. Math. Sci. Soc, 43, pp.1893~1918 (2020)
41. Adeolu Taiwo, "Viscosity approximation method for solving the multiple-set split equality common fixed-point problems for quasi-pseudocontractive mappings in Hilbert spaces", Journal of Industrial & Management Optimization, 17(5), pp.2733~ (2021), American Institute of Mathematical Sciences (AIMS)[DOI]
42. A. Taiwo, "General alternative regularization method for solving split equality common fixed point problem for quasi-pseudocontractive mappings in Hilbert spaces", Ricerche di Matematica, 69(1), pp.235~259 (2020), Springer Science and Business Media LLC[DOI]
43. W. Takahashi, "Nonlinear Functional Analysis, Fixed Point Theory and its Applications" (2000), Yokohama Publishers
44. W. Takahashi, "Fixed point theorems for three new nonlinear mappings in Banach spaces", J. Nonlinear Convex Anal, 13, pp.368~381 (2012)
45. W. Takahashi, "Fixed point theorems and convergence theorems for generalized nonspreading mappings in Banach spaces", J. Fixed Point Theory and Appl, 11, pp.159~183 (2012)
46. W. Takahashi, "Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mmapings in Banach spaces", Nonlinear Anal, 70, pp.45~57 (2009)

관련 논문AI추천