12 research outputs found
Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings
Get PDFStrong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-Ď•-nonexpansive mappings
Get PDFA new iteration process for equilibrium, variational inequality, fixed point problems, and zeros of maximal monotone operators in a Banach space
Get PDFModified Proximal point algorithms for finding a zero point of maximal monotone operators, generalized mixed equilibrium problems and variational inequalities
Get PDFApproximating fixed points of total asymptotically nonexpansive mappings
No full text We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also consider the asymptotically weakly contractive mappings.</p
Regularization of nonlinear Ill-posed equations with accretive operators
No full text We study the regularization methods for solving equations with arbitrary accretive operators. We establish the strong convergence of these methods and their stability with respect to perturbations of operators and constraint sets in Banach spaces. Our research is motivated by the fact that the fixed point problems with nonexpansive mappings are namely reduced to such equations. Other important examples of applications are evolution equations and co-variational inequalities in Banach spaces.</p
Regularization of nonlinear Ill-posed equations with accretive operators
No full textWe study the regularization methods for solving equations with arbitrary accretive operators. We establish the strong convergence of these methods and their stability with respect to perturbations of operators and constraint sets in Banach spaces. Our research is motivated by the fact that the fixed point problems with nonexpansive mappings are namely reduced to such equations. Other important examples of applications are evolution equations and co-variational inequalities in Banach spaces
Strong convergence for asymptotical pseudocontractions with the demiclosedness principle in banach spaces
No full textA STRONGLY CONVERGENT SHRINKING DESCENT-LIKE HALPERN’S METHOD FOR MONOTONE VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS
No full textSelf-adaptive gradient projection algorithms for variational inequalities involving non-Lipschitz continuous operators
No full text
