Results 91 to 100 of about 9,111 (245)
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
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Common Attractive Point Results for Two Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces [PDF]
Chadarat Thongphaen +3 more
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A Fixed Point Free Nonexpansive Map [PDF]
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].
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A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space
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
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On Enriched Suzuki Mappings in Hadamard Spaces
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
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New Iterative Algorithm for Two Infinite Families of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces [PDF]
Fang Zhang, Huan Zhang, Yulong Zhang
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The Cyclic Douglas-Rachford Method for Inconsistent Feasibility Problems
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]
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 ...
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Weak and strong convergence of finite family with errors of nonexpansive nonself-mappings [PDF]
Somyot Plubtieng +1 more
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Algorithms based on unions of nonexpansive maps [PDF]
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