Florin Bojor | Technical University of Cluj-Napoca (original) (raw)

Papers by Florin Bojor

The purpose of this paper is to present some fixed point results for self-generalized contraction... more The purpose of this paper is to present some fixed point results for self-generalized contractions in metric spaces. We obtain sufficient conditions for the existence of a fixed point of the mapping T : X → X in the metric space X endowed with a graph G such that the set V (G) of vertices of G coincides with X.

Carpathian Journal of Mathematics, 2012

Let (X, d) be a metric space endowed with a graph G such that the set V (G) of vertices of G coin... more Let (X, d) be a metric space endowed with a graph G such that the set V (G) of vertices of G coincides with X. We define the notion of G-Bianchini maps and obtain a fixed point theorem for such mappings. This extends some results of other authors which involve Bianchini mappings.

Carpathian Journal of Mathematics, 2015

Let (X, d) be a metric space endowed with a graph G such that the set V (G) of vertices of G coin... more Let (X, d) be a metric space endowed with a graph G such that the set V (G) of vertices of G coincides with X. We define the notion of G-Zamfirescu maps and obtain a fixed point theorem for such mappings. This extends and subsumes many recent results which were obtained for mappings on metric spaces endowed with a graph and for cyclic operators.

The purpose of this paper is to present some fixed point results for self-generalized contraction... more The purpose of this paper is to present some fixed point results for self-generalized contractions in metric spaces. We obtain sufficient conditions for the existence of a fixed point of the mapping T: X → X in the metric space X endowed with a graph G such that the set V (G) of vertices of G coincides with X.

We investigate the generalized Hyers-Ulam-Rassias stability for the quartic type functional equat... more We investigate the generalized Hyers-Ulam-Rassias stability for the quartic type functional equation f(x+2y)+f(x-2y)=4f(x+y)+4f(x-y)+24f(y)-6f(x) by using the fixed point alternative, and we obtain a better estimate for the difference in terms of the norm of a solution and a sub-solution of the equation.

Nonlinear Analysis: Theory, Methods & Applications, 2012

Abstract Let ( X , d ) be a metric space endowed with a graph G such that the set V ( G ) of vert... more Abstract Let ( X , d ) be a metric space endowed with a graph G such that the set V ( G ) of vertices of G coincides with X . We define the notion of G -Reich type maps and obtain a fixed point theorem for such mappings. This extends and subsumes many recent results which were obtained for other contractive type mappings on ordered metric spaces and for cyclic operators.

Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2012

Let (X; d) be a metric space endowed with a graph G such that the set V (G) of vertices of G coin... more Let (X; d) be a metric space endowed with a graph G such that the set V (G) of vertices of G coincides with X. We define the notion of G-Kannan maps and obtain a fixed point theorem for such mappings

Annals of the University of Craiova - Mathematics and Computer Science Series, 2013

In this note we prove that a xed point theorem (due to Jachymski in [9]) extends and subsumes som... more In this note we prove that a xed point theorem (due to Jachymski in [9]) extends and subsumes some results in the fixed point theory.

In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equa... more In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equation of the form y′(x)+f (x) y(x)+g(x) = 0 under some additional conditions.