On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces

N Shahzad, H Zegeye - Nonlinear Analysis: Theory, Methods & …, 2009 - Elsevier
We prove strong convergence theorems for the Ishikawa iteration scheme involving quasi-
nonexpansive multi-valued maps. We also construct an iteration scheme which removes a …

Convergence theorems for fixed points of multivalued strictly pseudocontractive map**s in Hilbert spaces

CE Chidume, CO Chidume, N Djitte… - Abstract and Applied …, 2013 - Wiley Online Library
Let K be a nonempty, closed, and convex subset of a real Hilbert space H. Suppose that T:
K→ 2K is a multivalued strictly pseudocontractive map** such that F (T)≠∅. A …

Strong convergence results for nonself multimaps in Banach spaces

N Shahzad, H Zegeye - Proceedings of the American Mathematical Society, 2008 - ams.org
STRONG CONVERGENCE RESULTS FOR NONSELF MULTIMAPS IN BANACH SPACES 1.
Introduction Let D be a nonempty closed convex subset of a Page 1 PROCEEDINGS OF THE …

Banach operator pairs, common fixed-points, invariant approximations, and∗-nonexpansive multimaps

MA Al-Thagafi, N Shahzad - Nonlinear Analysis: Theory, Methods & …, 2008 - Elsevier
Common fixed-point results are proved for I-nonexpansive maps, Ciric type maps, and∗-
nonexpansive multimaps. Invariant approximation results are obtained for these types of …

On a cyclic Jungck modified TS-iterative procedure with application examples

M De la Sen, E Karapinar - Applied Mathematics and Computation, 2014 - Elsevier
This article investigates some convergence properties of quasi-cyclic and cyclic Jungck
modified TS-iterative schemes in complete metric spaces and Banach spaces. The …

Viscosity approximation methods for nonexpansive multimaps in Banach spaces

H Zegeye, N Shahzad - Acta Mathematica Sinica, English Series, 2010 - Springer
We prove strong convergence of the viscosity approximation process for nonexpansive
nonself multimaps. Furthermore, an explicit iteration process which converges strongly to a …

Multi-valued Analysis of CR Iterative Process in Banach Spaces

N Sharma, LN Mishra - New Trends in Applied Analysis and …, 2021 - Springer
The main objective of this paper is to define multi-valued CR iteration scheme involving
quasi-nonexpansive map** by relaxing the compactness of domain. We also established …

KRASNOSELSKII ALGORITHM FOR FIXED POINTS OF MULTIVALUED QUASI-NONEXPANSIVE MAPPINGS IN CERTAIN BANACH SPACES.

CE Chidume, MS Minjibir - Fixed point theory, 2016 - search.ebscohost.com
Let K be a nonempty, closed and convex subset of a uniformly convex real Banach space E.
Suppose that T: K→ CB (K) is a multi-valued quasi-nonexpansive map**. A Krasnoselskii …

Convergence of approximating fixed points for multivalued nonself-map**s in Banach spaces

JS Jung - Korean Journal of Mathematics, 2008 - koreascience.kr
Let E be a uniformly convex Banach space with a uniformly $ G {\hat {a}} teaux $
differentiable norm, C a nonempty closed convex subset of E, and $ T: C …

Some fixed point theorems for multi-valued map**s via Ishikawa-type iterations in CAT (0) spaces

S Ladsungnern, P Kingkam, J Nantadilok - Adv. Fixed Point Theory, 2023 - scik.org
SOME FIXED POINT THEOREMS FOR MULTI-VALUED MAPPINGS VIA ISHIKAWA-TYPE
ITERATIONS IN CAT(0) SPACES The fixed point theory for mul Page 1 Available online at …