Results 91 to 100 of about 9,111 (245)

Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order

open access: yesJournal of Function Spaces, 2019
In this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalized α-nonexpansive mapping in an ordered Banach space.
Yi-An Chen, Dao-Jun Wen
doaj   +1 more source

Common Attractive Point Results for Two Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces [PDF]

open access: gold, 2022
Chadarat Thongphaen   +3 more
openalex   +1 more source

A Fixed Point Free Nonexpansive Map [PDF]

open access: yesProceedings of the American Mathematical Society, 1981
In this note we give an example of a weakly compact convex subset of L 1 [ 0 , 1 ] {L_1}[0,1] that fails to have the fixed point property for nonexpansive maps. This answers a long-standing question which was recently raised again by S. Reich [7].
openaire   +3 more sources

A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space

open access: yesApplied General Topology, 2019
The main purpose of this paper is to introduce a viscosity-type proximal point algorithm, comprising of a nonexpansive mapping and a finite sum of resolvent operators associated with monotone bifunctions. A strong convergence of the proposed algorithm to
C. Izuchukwu   +3 more
doaj   +1 more source

On Enriched Suzuki Mappings in Hadamard Spaces

open access: yesMathematics
We define and study enriched Suzuki mappings in Hadamard spaces. The results obtained here are extending fundamental findings previously established in related research.
Teodor Turcanu, Mihai Postolache
doaj   +1 more source

The Cyclic Douglas-Rachford Method for Inconsistent Feasibility Problems

open access: yes, 2014
We analyse the behaviour of the newly introduced cyclic Douglas-Rachford algorithm for finding a point in the intersection of a finite number of closed convex sets.
Borwein, Jonathan M., Tam, Matthew K.
core  

Multivalued Nonexpansive Mappings and Opial's Condition [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
We give relations between a condition introduced by Z. Opial which characterizes weak limits by means of the norm in some Banach spaces and approximations of the identity, in particular for systems of projections. Finally a fixed point theorem for multivalued nonexpansive mappings in a Banach space satisfying this condition is proved; this result ...
openaire   +3 more sources

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