Iterative algorithm for approximating fixed points of multivalued quasinonexpansive mappings in Banach spaces
Tóm tắt
Từ khóa
Tài liệu tham khảo
Byrne, C.: A unified treatment of some iterative algorithms in signal processing and image restoration. Inverse Probl. 20, 103–120 (2004)
Diaz, J.B., Metcalf, F.T.: On the structure of the set of subsequential limit points of successive approximations. Bull. Am. Math. Soc. 73, 516–519 (1967)
Edelstein, M., O’brien, R.C.: Nonexpansive mappings, asypmtotic regularity and succesive approximations. J. Lond. Math. Soc. 17(2), 547–554 (1978)
Krasnosel’skii, M.A.: Two observations about the method of successive approximations. Usp. Mat. Nauk 10, 123–127 (1955)
Edelstein, M.: A remark on a theorem of Krasnoselskii. Am. Math. Mon. 13, 507–510 (1966)
Schaefer, H.: Über die Methode sukzessiver Approximationen. Jahresber. Dtsch. Math.-Ver. 59, 131–140 (1957) (German)
Chidume, C.E.: Quasi-nonexpansive mappings and uniform asymptotic regularity. Kobe J. Math. 3(1), 29–35 (1986)
Lim, T.C.: A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space. Bull. Am. Math. Soc. 80, 1123–1126 (1974)
Downing, D., Kirk, W.A.: Fixed point theorems for set-valued mappings in metric and Banach spaces. Math. Jpn. 22(1), 99–112 (1977)
Abkar, A., Eslamian, M.: Convergence theorems for a finite family of generalized nonexpansive multi-valued mappings in cat(0) spaces. Nonlinear Anal. 75(4), 1895–1903 (2012)
Cardinali, T., Rubbioni, P.: Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness. J. Math. Anal. Appl. 405(2), 409–415 (2013)
Dinevari, T., Frigon, M.: Fixed point results for multivalued contractions on a metric space with a graph. J. Math. Anal. Appl. 405, 507–517 (2013)
Chidume, C.E., Chidume, C.O., Djitté, N., Minjibir, M.S.: Iterative algorithm for fixed points of multi-valued pseudo-contractive mappings in Banach spaces. J. Nonlinear Convex Anal. 15(2), 257–267 (2014)
Precup, R., Rodríguez-López, J.: Fixed point index theory for decomposable multivalued maps and applications to discontinuous ϕ-Laplacian problems. Nonlinear Anal. 199, 111958 (2020)
Chidume, C.E., Chidume, C.O., Djitté, N., Minjibir, M.S.: Convergence theorems for fixed points of multivalued strictly pseudocontractive mappings in Hilbert spaces. Abstr. Appl. Anal. 2013, Article ID 629468 (2013)
Shazad, N., Zegeye, H.: On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces. Nonlinear Anal. 71, 838–844 (2009)
Chidume, C.E., Minjibir, M.S.: Krasnoselskii algorithm for fixed points of multi-valued quasi-nonexpansive mappings in certain Banach spaces. Fixed Point Theory 17(2), 301–312 (2016)
Uddin, I., Ali, J., Nieto, J.J.: An iteration scheme for a family of multivalued mappings in CAT(0) spaces with an application to image recovery. Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 112, 373–384 (2018)
Diop, C., Sene, M., Djitté, N.: Iterative algorithms for a finite family of multivalued quasi-nonexpansive mappings. Adv. Numer. Anal. 2014, Article ID 181049 (2014)