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Several strong convergence results involving two distinct four parameter proximal point algorithms are proved under different sets of assumptions on these parameters and the general condition thatâ€¦ (More)

- O. A. Boikanyo, Gheorghe Morosanu
- Optimization Letters
- 2010

In this paper a proximal point algorithm (PPA) for maximal monotone operators with appropriate regularization parameters is considered. A strong convergence result for PPA is stated and proved underâ€¦ (More)

- O. A. Boikanyo, Gheorghe Morosanu
- J. Global Optimization
- 2011

We present several strong convergence results for the modified, Halpern-type, proximal point algorithm xn+1 = Î±nu + (1 âˆ’ Î±n)JÎ²n xn + en (n = 0, 1, . . .; u, x0 âˆˆ H given, and JÎ²n = (I + Î²n A)âˆ’1, forâ€¦ (More)

In this paper, proximal point algorithms for nonexpansive (sequences of nonexpansive) maps and maximal monotone operators are studied. A modification of Xuâ€™s algorithm is given and a strongâ€¦ (More)

The work of H. Hundal (Nonlinear Anal. 57 (2004), 35-61) has revealed that the sequence generated by the method of alternating projections converges weakly, but not strongly in general. This paperâ€¦ (More)

- O. A. Boikanyo, Gheorghe Morosanu
- Optimization Letters
- 2013

Given any maximal monotone operator A : D(A) âŠ‚ H â†’ 2H in a real Hilbert space H with Aâˆ’1(0) = âˆ…, it is shown that the sequence of proximal iterates xn+1 = (I + Î³n A)âˆ’1(Î»nu + (1 âˆ’ Î»n)(xn + en))â€¦ (More)

- O. A. Boikanyo
- Applied Mathematics and Computation
- 2015

Recently, Cui and Wang (2014) constructed an algorithm for demicontractive operators that converges weakly, under mild assumptions, to some solution of the split common fixed point problem. In thisâ€¦ (More)

The aim of this paper is to prove a strong convergence result for an algorithm introduced by Y. Yao and M. A. Noor in 2008 under a new condition on one of the parameters involved. Further,â€¦ (More)

- O. A. Boikanyo
- 2012

In this paper, we present a generalization of the method of alternating resolvents introduced in the previous authorsâ€™ paper [On the method of alternating resolvents, Nonlinear Anal. 74 (2011),â€¦ (More)

Banach contraction principle is a fundamental result in fixed point theory and has been applied and extended in many different directions. In 2002, Branciari [3] obtained a fixed point theorem for aâ€¦ (More)