Approximate common solution of variational inequality and fixed point problems for family of nonexpansive semigroup

Yazarlar

  • A.H. Ugwu∗ Department of Industrial Mathematics/Applied Statistics, Enugu State University of Science and Technology, Enugu, Nigeria
  • I.G. Ezugorie† Department of Industrial Mathematics/Applied Statistics, Enugu State University of Science and Technology, Enugu, Nigeria
  • E.C. Agbo‡ Department of Industrial Mathematics/Applied Statistics, Enugu State University of Science and Technology, Enugu, Nigeri
  • E.U. Ofoedu§ Department of Mathematics, Nnamdi Azikiwe University, P.M.B. 5025, Awka, Anambra State, Nigeria.

Anahtar Kelimeler:

Modulus of smoothness- Modulus of convexity- generalized duality maps- α-inverse strongly accretive operators- k-strictly pseudocontractive mappings

Özet

In this paper, we prove a path convergence theorem and introduce a new iterative scheme for approximation of common element of fixed point sets of family of nonexpansive semigroup and the set of solutions of variational inequality problem for an α-inverse strongly accretive mapping in strictly convex q-uniformly smooth real Banach space. As an application, solution is given to the problem of finding a common element of fixed point sets of family of nonexpansive semigroup and the set of zeros of an α-inverse strongly accretive operator. The result obtained augment and generalize several existing results. 

İndir

Yayınlanmış

2024-09-25

Nasıl Atıf Yapılır

Ugwu∗, A. ., Ezugorie†, I. ., Agbo‡, E. ., & Ofoedu§, E. . (2024). Approximate common solution of variational inequality and fixed point problems for family of nonexpansive semigroup. International Journal of Mathematical Analysis and Modelling, 7(2). Geliş tarihi gönderen https://journal.tnsmb.org/index.php/ijmam/article/view/152

Sayı

Cilt 7 Sayı 2 (2024): Volume 7, Issue 2, 2024

Bölüm

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