Results 41 to 50 of about 811 (109)
Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces
Demonstratio Mathematica, 2019 We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT(0) space.
Abbas Mujahid +2 more
doaj +1 more source
Fixed point results for the complex fractal generation in the S -iteration orbit with s -convexity
, 2018 Since the introduction of complex fractals by Mandelbrot they gained much attention by the researchers. One of the most studied complex fractals are Mandelbrot and Julia sets. In the literature one can find many generalizations of those sets. One of such
K. Gdawiec, Abdul Aziz Shahid
semanticscholar +1 more source
, 2012 We show that the moving arithmetic average is closely connected to a Gauss-Seidel type fixed point method studied by Bauschke, Wang and Wylie, and which was observed to converge only numerically.
Bauschke, Heinz H. +2 more
core
Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued
Anastassiou George A. +1 more
doaj +1 more source
Accelerating the alternating projection algorithm for the case of affine subspaces using supporting hyperplanes [PDF]
, 2014 The von Neumann-Halperin method of alternating projections converges strongly to the projection of a given point onto the intersection of finitely many closed affine subspaces.
Pang, C. H. Jeffrey
core
Krasnoselskii-type algorithm for family of multi-valued strictly pseudo-contractive mappings
, 2014 A Krasnoselskii-type algorithm is constructed and the sequence of the algorithm is proved to be an approximate fixed point sequence for a common fixed point of a suitable finite family of multi-valued strictly pseudo-contractive mappings in a real ...
C. Chidume, J. Ezeora
semanticscholar +1 more source
Fixed Point Theory and Applications, 2011 We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
doaj
Journal of Inequalities and Applications, 2013 In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated in Banach spaces, and then the strong convergence of the ...
R. Agarwal, Jiawei Chen, Y. Cho
semanticscholar +1 more source
Another weak convergence theorems for accretive mappings in banach spaces
Fixed Point Theory and Applications, 2011 We present two weak convergence theorems for inverse strongly accretive mappings in Banach spaces, which are supplements to the recent result of Aoyama et al. [Fixed Point Theory Appl. (2006), Art. ID 35390, 13pp.]. 2000 MSC: 47H10; 47J25.
Saejung Satit +2 more
doaj
Strong convergence of approximated iterations for asymptoticallypseudocontractive mappings
, 2014 The asymptotically nonexpansive mappings have been introduced by Goebel and Kirkin 1972. Since then, a large number of authors have studied the weak and strongconvergence problems of the iterative algorithms for such a class of mappings.It is well known ...
Yonghong Yao, M. Postolache, S. Kang
semanticscholar +1 more source