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Convergence theorems for generalized hemicontractive mapping in p-uniformly convex metric space

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we introduce and study an Ishikawa-type iteration process for the class of generalized hemicontractive mappings in p-uniformly convex metric spaces, and prove both Delta-convergence and strong convergence theorems for approximating a fixed point of generalized hemicontractive mapping in complete p-uniformly convex metric spaces. We give a surprising example of this class of mapping that is not a hemicontractive mapping. Our results complement, extend and generalize numerous other recent results in CAT(0) spaces.
Wydawca
Rocznik
Strony
221--229
Opis fizyczny
Bibliogr. 37 poz.
Twórcy
  • Department of Mathematics, University of Swaziland, Kwaluseni, Swaziland
  • School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban
  • DST-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa
  • School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
Bibliografia
  • [1] K. O. Aremu, C. Izuchukwu, G. C. Ugwunnadi and O. T. Mewomo, On the proximal point algorithm and demimetric mappings in CAT(0) spaces, Demonstr. Math. 51 (2018), no. 1, 277-294.
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  • [17] J.-C. Huang and T. Hu, Strong convergence theorems of an implicit iteration process for generalized hemi-contractive mappings, Tamsui Oxf. J. Math. Sci. 23 (2007), no. 3, 365-376.
  • [18] S. Ishikawa, Fixed points by a new iteration method, Proc. Amer. Math. Soc. 44 (1974), 147-150.
  • [19] C. Izuchukwu, K. O. Aremu, A. A. Mebawondu and O. T. Mewomo, A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space, Appl. Gen. Topol. 20 (2019), no. 1, 193-210.
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  • [33] A. Taiwo, L. O. Jolaoso and O. T. Mewomo, 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 (2019), no. 2, Paper No. 77.
  • [34] A. Taiwo, L. O. Jolaoso and O. T. Mewomo, General alternative regularization method for solving split equality common fixed point problem for quasi-pseudocontractive mappings in Hilbert spaces, Ric. Mat. 69 (2020), no. 1, 235-259.
  • [35] A. Taiwo, L. O. Jolaoso and O. T. Mewomo, Parallel hybrid algorithm for solving Pseudomonotone equilibrium and split common fixed point problems, Bull. Malays. Math. Sci. Soc. 43 (2020), no. 2, 1893-1918.
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  • [37] G. C. Ugwunnadi, C. Izuchukwu and O. T. Mewomo, Strong convergence theorem for monotone inclusion problem in CAT(0) spaces, Afr. Mat. 30 (2019), no. 1-2, 151-169.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a1aec1d4-dbba-48bf-ab31-a77e0203ba20
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