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

Authors

  • 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.

Keywords:

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

Abstract

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. 

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Published

2024-09-25

How to Cite

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). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/152

Issue

Vol. 7 No. 2 (2024): Volume 7, Issue 2, 2024

Section

Articles