A strong convergence theorem for generalized-Φ-strongly monotone maps, with applications
Let X be a uniformly convex and uniformly smooth real Banach space with dual space X∗
X^*. In this paper, a Mann-type iterative algorithm that approximates the zero of a …
X^*. In this paper, a Mann-type iterative algorithm that approximates the zero of a …
New semi-implicit midpoint rule for zero of monotone mappings in Banach spaces
Y Tang, Z Bao - Numerical Algorithms, 2019 - Springer
Let E be a nonempty closed uniformly convex and 2-uniformly smooth Banach space with
dual E∗ and A: E∗→ E be Lipschitz continuous monotone mapping with A− 1 (0)≠∅. A new …
dual E∗ and A: E∗→ E be Lipschitz continuous monotone mapping with A− 1 (0)≠∅. A new …
New algorithms for the split common null point problem
Y Tang - Optimization, 2021 - Taylor & Francis
Two new iterative algorithms are introduced for solving the split common null point problem
(SCNPP). The first algorithm is shown to converge weakly and the second is shown to …
(SCNPP). The first algorithm is shown to converge weakly and the second is shown to …
A new algorithm for variational inequality problems with a generalized phi-strongly monotone map over the set of common fixed points of a finite family of quasi-phi …
CE Chidume, UV Nnyaba, OM Romanus - Journal of Fixed Point Theory …, 2018 - Springer
Let E be a uniformly convex and uniformly smooth real Banach space with dual space E^*
E∗ and C be a nonempty, closed and convex subset of E. Let A: E → E^* A: E→ E∗ be a …
E∗ and C be a nonempty, closed and convex subset of E. Let A: E → E^* A: E→ E∗ be a …
Strong convergence of new algorithm for monotone operator in Banach spaces
Y Tang - Numerical Functional Analysis and Optimization, 2019 - Taylor & Francis
Let E be a uniformly convex and uniformly smooth real Banach space with dual E*. The
convergence of a new iterative algorithm for approximating zero points of monotone (not …
convergence of a new iterative algorithm for approximating zero points of monotone (not …
Approximating zeros of monotone operators in Banach spaces
In this study, we present a novel iterative algorithm that aims to identify the zeros of the sum
of two monotone operators. Our algorithm demonstrates strong convergence in a Banach …
of two monotone operators. Our algorithm demonstrates strong convergence in a Banach …
Viscosity iterative algorithm for the zero point of monotone mappings in Banach spaces
Y Tang - Journal of Inequalities and Applications, 2018 - Springer
Inspired by the work of Zegeye (J. Math. Anal. Appl. 343: 663–671, 2008) and the recent
papers of Chidume et al.(Fixed Point Theory Appl. 2016: 97, 2016; Br. J. Math. Comput. Sci …
papers of Chidume et al.(Fixed Point Theory Appl. 2016: 97, 2016; Br. J. Math. Comput. Sci …
[PDF][PDF] A Krasnoselskii-type algorithm for approximating zeros of monotone maps in Banach spaces with applications
In this paper, a Krasnoselskii-type algorithm that approximates the unique zero of a Hölder
continuous and strongly monotone map is constructed. Strong convergence of the sequence …
continuous and strongly monotone map is constructed. Strong convergence of the sequence …
Approximation of Zeros of M-Accretive Operators; Solutions to Variational Inequality and Generalized Split Feasibility Problems
U Nnyaba - 2019 - repository.aust.edu.ng
In this thesis, the problem of solving the equation of the form Au= 0,(0.0. 1) where A is a
nonlinear map (either mapping a Banach space, E to itself or mapping E to its dual, E∗), is …
nonlinear map (either mapping a Banach space, E to itself or mapping E to its dual, E∗), is …