Strong convergence for the modified Mann's iteration of $λ$-strict pseudocontraction

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Song, Yisheng, Wang, Hongjun
Formato:	Preprint
Publicado:	2013
Materias:	Functional Analysis 49J40, 47H05, 47H04, 65J15
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

A hybrid method for countable equilibrium, variational inequality and maximal monotone inclusion problems with fixed point constraints
por: Uba, Markjoe O.
Publicado: (2026)

Weakly convergent fixed point iterations for weakly sequentially non-expansive mappings
por: Wihler, Thomas P.
Publicado: (2026)

On a Lemma by Brézis and Haraux
por: Bùi, Minh N.
Publicado: (2025)

Convergence analysis for pseudo-monotone variational inequality problem involving projections onto a moving ball
por: Singh, Watanjeet, et al.
Publicado: (2025)

A simple case within Nash-Moser-Ekeland theory
por: Ivanov, Milen, et al.
Publicado: (2018)

On Characterizations of Metric Regularity of Multi-valued Maps
por: Ivanov, Milen, et al.
Publicado: (2018)

Surjectivity in Fréchet spaces
por: Ivanov, Milen, et al.
Publicado: (2018)

Inverse Function Theorem in Fréchet Spaces
por: Ivanov, Milen, et al.
Publicado: (2020)

Fast Krasnoselskii-Mann Method with Overrelaxation and Preconditioners
por: Boţ, Radu I., et al.
Publicado: (2024)

A hybrid scheme for fixed points of a countable family of generalized non-expansive-type maps and generalized mixed equilibrium problems
por: Nwokoro, Peter U., et al.
Publicado: (2025)

Maximal monotonicity of the subdifferential of a convex function: a direct proof
por: Ivanov, Milen, et al.
Publicado: (2016)

A Low-Rank Symplectic Gradient Adjustment Method for Computing Nash Equilibria
por: Vater, Nadja, et al.
Publicado: (2025)

Linear convergence of relocated fixed-point iterations
por: Atenas, Felipe, et al.
Publicado: (2025)

Convergence of the Preconditioned Proximal Point Method and Douglas-Rachford Splitting in the Absence of Monotonicity
por: Evens, Brecht, et al.
Publicado: (2023)

Several self-adaptive inertial projection algorithms for solving split variational inclusion problems
por: Zhou, Zheng, et al.
Publicado: (2020)

On the Maximal Monotone Operators in Hadamard Spaces
por: Moslemipour, Ali, et al.
Publicado: (2021)

Three-Operator Splitting Method with Two-Step Inertial Extrapolation
por: Iyiola, Olaniyi S., et al.
Publicado: (2024)

Invariant Subspaces and the $C_{00}$-Property of $3$-Brownian Shifts
por: Nailwal, Rajkamal
Publicado: (2026)

Representation formulas for maximal monotone operators of type (D) in Banach spaces whose dual spaces are strictly convex
por: Tran, Nguyen B., et al.
Publicado: (2023)

On $α$-monotone operators and their resolvent in Banach spaces
por: Huang, Changchi, et al.
Publicado: (2025)

Existence Results and KKT Optimality Conditions for Generalized Quasiconvex Functions
por: Alizadeh, M. H., et al.
Publicado: (2026)

Parameter identification in PDEs by the solution of monotone inclusion problems
por: Gautam, Pankaj, et al.
Publicado: (2024)

Recent developments in the fixed point theory of enriched contractive mappings. A survey
por: Berinde, Vasile, et al.
Publicado: (2024)

Parabolic hysteresis problems revisited: Finite element error analysis and convergent Newton-type solvers
por: Xu, Shu, et al.
Publicado: (2025)

On Generalized Forward-Reflected-Backward Method for Monotone Inclusion Problems
por: Soe, Santanu, et al.
Publicado: (2025)

Rates of (T-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration
por: Firmino, Paulo, et al.
Publicado: (2025)

Relationships between Global and Local Monotonicity of Operators
por: Khanh, Pham Duy, et al.
Publicado: (2024)

Stability and Regularization of Quasi-Variational Inequalities under Monotone Operator Perturbations
por: Rashid, M. H. M.
Publicado: (2025)

Barrier functions in the subdifferential theory
por: Ivanov, Milen, et al.
Publicado: (2019)

Nonlocal, nonlinear Fokker-Planck equations and nonlinear martingale problems
por: Barbu, Viorel, et al.
Publicado: (2023)

Nonlinear Fokker-Planck equations as smooth Hilbertian gradient flows
por: Barbu, Viorel, et al.
Publicado: (2025)

Extra-Gradient Method with Flexible Anchoring: Strong Convergence and Fast Residual Decay
por: Boţ, Radu Ioan, et al.
Publicado: (2024)

Accelerated Gradient and Skew-Symmetric Splitting Methods for a Class of Monotone Operator Equations
por: Chen, Long, et al.
Publicado: (2023)

Variable Stepsize Distributed Forward-Backward Splitting Methods as Relocated Fixed-Point Iterations
por: Atenas, Felipe, et al.
Publicado: (2026)

Spingarn's Method and Progressive Decoupling Beyond Elicitable Monotonicity
por: Evens, Brecht, et al.
Publicado: (2025)

Convergence of the Chambolle-Pock Algorithm in the Absence of Monotonicity
por: Evens, Brecht, et al.
Publicado: (2023)

General Perturbation Resilient Dynamic String-Averaging for Inconsistent Problems with Superiorization
por: Barshad, Kay, et al.
Publicado: (2025)

Operator semigroups in the mixed topology and the infinitesimal description of Markov processes
por: Goldys, Ben, et al.
Publicado: (2022)

Random Nonlinear Fusion Frames from Averaged Operator Iterations
por: Tian, James
Publicado: (2025)

Perturbation-resilient inertial Krasnosel'skii-type hybrid retractions for generalized nonexpansive mappings
por: Uba, Markjoe O.
Publicado: (2026)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"60b2b6c871811559aafcaaf59c609694"
language	"es"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790712632.6391 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "60b2b6c871811559aafcaaf59c609694" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=60b2b6c871811559aafcaaf59c609694; language=es; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"63987"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_1301_2469/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_1301_2469/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790712632.6336
REQUEST_TIME	1790712632

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler