Stability results and qualitative properties for Mann’s algorithm via admissible perturbations technique
AbstractIn this paper we will present data dependence results for Mann iteration schene related to the fixed point inclusion. The…
Fixed point theory
On the characterizations of partial metrics and quasimetrics
AbstractWe present the relationship between the notion of partial metric, which has applications in Computer Science, that of quasimetric (which…
Solving inverse problems via hemicontractive maps
AbstractWe prove a “collage” theorem for hemicontractive maps and we use it for inverse problems. A numerical example is given.…
The equivalence between Mann–Ishikawa iterations and multistep iteration
AbstractWe show that the convergence of Mann, Ishikawa iterations are equivalent to the convergence of a multistep iteration, for various…
The Equivalence between T-Stabilities of The Krasnoselskij and The Mann Iterations
Abstract We prove the equivalence between the -stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence…
Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators
Abstract We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example…
The equivalence between the T-stabilities of Mann and Ishikawa iterations
Abstract We show that T-stability of Mann and Ishikawa iterations are equivalent. AuthorsB.E. Rhoades S.M. Soltuz (Tiberiu Popoviciu Institute of…
The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps
AbstractThe convergence of modified Mann iteration is equivalent to the convergence of modified Ishikawa iterations, when T is an asymptotically…
The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically pseudocontractive map
AbstractThe convergence of Mann iteration is equivalent to the convergence of Ishikawa iterations, when T is an asymptotically nonexpansive and asymptotically pseudocontractive…
Common fixed points for Presic operators via simulation functions
AbstractIn this paper, using the concept of simulation function we present existence and uniqueness results for coincidence and common fixed…
Publications
Testing Bose-Einstein condensate dark matter models with the SPARC galactic rotation curves data
AbstractThe nature of one of the fundamental components of the Universe, dark matter, is still unknown. One interesting possibility is that dark matter could exist in the form of a…
Read More Qualitative properties of solutions for mixed type functional-differential equations with maxima
AbstractIn this paper we study some properties of the solutions of a second order system of functional-differential equations with maxima, of mixed type, with “boundary” conditions. We use the weakly…
Read More Inequalities for indices of coincidence and entropies
AbstractWe consider a probability distribution depending on a real parameter x. As functions of x, the Renyi entropy and the Tsallis entropy can be expressed in terms of the associated…
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