Results 31 to 40 of about 73,275 (204)

Hybrid mixed type iteration scheme for asymptotically nonexpansive mappings and total asymptotically nonexpansive non-self mappings [PDF]

open access: yes, 2016
In this paper, we proposed a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two total asymptotically nonexpansive non-self mappings and establish some strong convergence theorems for mentioned ...
Saluja G.S., G.S. Saluja
core   +1 more source

Fixed point theorems for a sum of two mappings in locally convex spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
Cain and Nashed generalized to locally convex spaces a well known fixed point theorem of Krasnoselskii for a sum of contraction and compact mappings in Banach spaces.
P. Vijayaraju
doaj   +1 more source

Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping. By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and ...
Jiawei Chen   +3 more
doaj   +1 more source

ON MULTIVALUED f-NONEXPANSIVE MAPS

open access: yesDemonstratio Mathematica, 1999
The authors prove coincidence, fixed point, and convergence theorems which extend previous results by G. L. Acedo and H.-K. Xu, W. G. Dotson, G. Jungck and S. Sessa, and E. Lami Dozo.
Latif, Abdul, Tweddle, Ian
openaire   +1 more source

Fixed points for mappings of asymptotically nonexpansive type

open access: yes, 2023
We prove the existence of fixed points for mappings which satisfy some asymptotic nonexpansive conditions in Banach spaces which are either nearly uniformly convex or they satisfy that asymptotic centers of bounded sequences are compact.
Lorenzo Ramírez, Josefa   +1 more
core   +1 more source

Convexity in quasi-metric spaces [PDF]

open access: yes, 2012
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core   +1 more source

The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings

open access: yesJournal of Mathematics, 2020
The concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings. Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators.
M. O. Aibinu, S. C. Thakur, S. Moyo
doaj   +1 more source

On Fixed Point Convergence Results for a General Class of Nonlinear Mappings with a Supportive Application

open access: yesJournal of Mathematics, 2023
In this article, we considered the class of generalized α,β-nonexpansive (GABN) mappings that properly includes all nonexpansive, Suzuki nonexpansive (SN), generalized α-nonexpansive (GAN), and Reich–Suzuki nonexpansive (RSN) mappings.
Fayyaz Ahmad   +4 more
doaj   +1 more source

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

Approximation of Fixed Points for Enriched Suzuki Nonexpansive Operators with an Application in Hilbert Spaces

open access: yesAxioms, 2021
In this article, we introduce the class of enriched Suzuki nonexpansive (ESN) mappings. We show that this new class of mappings properly contains the class of Suzuki nonexpansive as well as the class of enriched nonexpansive mappings.
Kifayat Ullah   +3 more
doaj   +1 more source

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