Results 81 to 90 of about 73,275 (204)
On Enriched Suzuki Mappings in Hadamard Spaces
MathematicsWe 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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Strong Convergence Theorems for a Countable Family of Nonexpansive Mappings in Convex Metric Spaces
Abstract and Applied Analysis, 2011 We introduce a new modified Halpern iteration for a countable infinite family of nonexpansive mappings {Tn} in convex metric spaces. We prove that the sequence {xn} generated by the proposed iteration is an approximating fixed point sequence of a ...
Withun Phuengrattana, Suthep Suantai
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.The aim of this paper is to present a novel stationary and nonstationary iterative approach for approximating common fixed points of a finite family of generalized nonexpansive mappings in uniformly convex Banach spaces. For the stationary scheme, both strong and weak convergence theorems are established under standard geometric conditions.
Sehar Afsheen +4 more
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Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings [PDF]
, 2005 summary:The purpose of this paper is to establish some weak and strong convergence theorems of modified three-step iteration methods with errors with respect to a pair of nonexpansive and asymptotically nonexpansive mappings in uniformly convex Banach ...
Feng, Chi +3 more
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Nonexpansive Mappings in Locally Convex Spaces [PDF]
Canadian Mathematical Bulletin, 1977 Recently Bruck initiated the study of the structure of the fixed-point set of a nonexpansive selfmap T of a Banach space, where T satisfies a conditional fixed point property. We generalize many of his results to a Hausdorff locally convex space X. Also, we generalize a result of Holmes and Narayanaswami and use it, along with a procedure of Kiang, to ...
Hicks, Troy L., Kubicek, John D.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In the present paper, we employ the notion of w‐distance to prove a large Kannan‐type contraction inequality in metric spaces. The notion of a coupled large Kannan contraction is introduced, and by using the Geraghty‐type control function, we derive fixed point results in metric spaces with and without partial order.
Priyam Chakraborty +4 more
wiley +1 more source
On firmly nonexpansive mappings [PDF]
Proceedings of the American Mathematical Society, 1991 The author proves the following. Let X be a uniformly convex Banach space, \(C=C_ 1\cup C_ 2\cup...\cup C_ n\) a union of nonempty, bounded, closed and convex subsets of X, and T: \(C\to C\) a mapping such that \[ \| Tx-Ty\| \leq \| (1-\lambda)(x-y)+\lambda (Tx-Ty)\| \quad (x,y\in C), \] for some \(\lambda\in (0,1)\). Then T has a fixed point in C.
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Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar +3 more
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Fixed points of demicontinuous nearly Lipschitzian mappings in Banach spaces [PDF]
, 2005 summary:We introduce the classes of nearly contraction mappings and nearly asymptotically nonexpansive mappings. The class of nearly contraction mappings includes the class of contraction mappings, but the class of nearly asymptotically nonexpansive ...
Sahu, D. R., D. R. Sahu
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Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces
Fixed Point Theory and Applications, 2010 The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space.
Kohsaka Fumiaki, Aoyama Koji
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