Results 71 to 80 of about 3,848 (206)
Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces
Advances in Mathematical Physics, 2020 It is well known that nonexpansive mappings do not always have fixed points for bounded sets in Banach space. The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces.
Xianbing Wu
doaj +1 more source
Approximating fixed points of nonexpansive and generalized nonexpansive mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 في هذه الورقة، نعتبر رسم الخرائطSمن النموذجS=α0I+α1T+α2T2+...+αKTK، حيثαi≥0.α1>0مع α i=0kαi=1، ونوضح أنه في مساحة بنك محدبة بشكل موحد، تتقارب تكرارات Picard لـ S إلى نقطة ثابتة منTعندما يكونTغير موسع أو معمم غير موسع أو حتى شبه موسع.
Manoranjan Maiti, Biswajyoti Saha
openaire +3 more sources
Remarks on multivalued nonexpansive mappings [PDF]
, 1995 Convergence of fixed point sets of multivalued nonexpansive mappings is studied under both the Mosco and Hausdorff senses. A characterization for *- nonexpansive multivalued mappings is given.
López Acedo, Genaro, Xu, Hong-Kun
core
Convergence of Picard–CR Iterative Algorithm and Applications
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In applied mathematics, graph theory (GT) is a notably compelling area of study. In the last 50 years, the number of mathematicians making contributions to research in this field has consistently increased. This rising interest is mainly a result of the significant real‐world applications it offers.
Suheyla Elmas, Marko Kostic
wiley +1 more source
A New Iterative Scheme of Modified Mann Iteration in Banach Space
Abstract and Applied Analysis, 2014 We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space.
Jinzuo Chen, Dingping Wu, Caifen Zhang
doaj +1 more source
European Journal of Mathematical Analysis, 2021 We propose a three-step iteration scheme of hybrid mixed-type for three total asymptotically nonexpansive self mappings and three total asymptotically nonexpansive nonself mappings.
Imo Kalu Agwu +2 more
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Fixed point theorems for a new class of nonexpansive mappings [PDF]
, 2022 [EN] We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for this class of mappings.
Shukla, Rahul, Pant, Rajendra
core +1 more source
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
wiley +1 more source
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
core
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