Results 31 to 40 of about 4,766,720 (102)

The stability of an additive (ρ_1, ρ_2)-functional inequality in Banach spaces

open access: yesJournal of Mathematical Inequalities, 2019
In this paper, we introduce and solve the following additive (ρ1,ρ2) -functional inequality ‖ f (x+ y)− f (x)− f (y)‖ ‖ρ1( f (x+ y)+ f (x− y)−2 f (x))‖ (1) + ∥∥∥ρ2 ( 2 f ( x+ y 2 ) − f (x)− f (y) ∥∥∥ , where ρ1 and ρ2 are fixed nonzero complex numbers ...
Choonkill Park
semanticscholar   +1 more source

A general existence principle for fixed point theorems in D‐metric spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 441-448, 2000., 2000
We establish two general principles for fixed point theorems in D‐metric spaces, and then show that several theorems in D‐metric spaces follow as corollaries of these general principles.
B. C. Dhage, A. M. Pathan, B. E. Rhoades
wiley   +1 more source

An extragradient iterative scheme for common fixed point problems and variational inequality problems with applications

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper, by combining a modified extragradient scheme with the viscosity approximation technique, an iterative scheme is developed for computing the common element of the set of fixed points of a sequence of asymptotically nonexpansive mappings and
Petruşel Adrian, Sahu D.R., Sagar Vidya
doaj   +1 more source

On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT(0) space

open access: yes, 2013
In this paper, we give strong convergence theorems for the modified S-iteration process of asymptotically quasi-nonexpansive mappings on a CAT(0) space which extend and improve many results in the literature.MSC: Primary 47H09; secondary 47H10.
A. Şahin, M. Basarir
semanticscholar   +1 more source

A NOTE ON THE PAPER “ON COMPLETENESS IN METRIC SPACES AND FIXED POINT THEOREMS"

open access: yes, 2020
In the present note, we show that the assumption of continuity used in the fixed point theorem of Gregori et al. (Results Math. 73 (2018), no. 4, Art. 142, 13) can be relaxed to some weaker version of continuity.
Deepak Khantwal, U. C. Gairola
semanticscholar   +1 more source

Related fixed points for set valued mappings on two metric spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 205-210, 2000., 2000
Some related fixed points theorems for set valued mappings on two complete and compact metric spaces are proved.
Brian Fisher, Duran Türkoglu
wiley   +1 more source

Approximating fixed points of λ‐firmly nonexpansive mappings in Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 441-448, 2000., 2000
We study the convergence of the Ishikawa iteration methods to fixed points for the result of Smarzewski (1991). Our theorems also improve recent theorems due to Sharma and Sahu (1996).
Gang-Eun Kim
wiley   +1 more source

Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.
Abbas Saïd   +2 more
doaj   +1 more source

Some results on maximal elements

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 409-413, 2000., 2000
We prove some results on maximal elements using the KKM‐map principle.
Antonio Carbone
wiley   +1 more source

On the hyperstability of a Cauchy-Jensen type functional equation in Banach spaces

open access: yes, 2015
4, pp. 359-375, December 2015.Universidad Cat´olica del NorteAntofagasta - ChileAbstractIn this paper, we establish some hyperstability results of the fol-lowing Cauchy-Jensen functional equationf(x+y2+z)+f(x−y2+z)=f(x)+2f(z)in Banach spaces.Subjclass ...
Iz-iddine El-Fassi, S. Kabbaj
semanticscholar   +1 more source

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