Iterative Approximation of Fixed Points

By Vasile Berinde. 2007

1,066 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/db12486a74e9062d7c0cd042750f3e478cd77fed

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In Aerospace Engineering

In Computational Theory and Mathematics

In Geometry and Topology

Citations in the corpus

Coupled fixed point theorems for $\phi$-contractive mixed monotone mappings in partially ordered metric spaces (2011, background): “Examples of typical functions φ and ψ are given in [5], see also [2] and [9].”
SOME FIXED POINT RESULTS FOR A NEW THREE STEPS ITERATION PROCESS IN BANACH SPACES (2017, background): “[3] Let {an}n=1 and {bn} ∞ n=1 be nonnegative real convergent sequences with limits a and b respectively.”
Generalized Nash equilibrium problems (2007, neutral): “(Berinde 2007).”
APPROXIMATING COMMON FIXED POINTS OF NONCOMMUTING ALMOST CONTRACTIONS IN METRIC SPACES (2010, background): “As the Zamfirescu fixed point theorem was extended to the class of almost contraction - a large class of contractive type mappings introduced in [6] and also studied in [3], [2] and in many other papers, see [9] and the bibliography therein - the main aim of the present paper is to extend the result”
On a general class of multi-valued weakly Picard mappings (2007, background): “Apart from the fixed point theorems in the single-valued case [3–5,8,10,35,39], which are obtained as particular cases of Theorems 3 and 4, these two theorems also extend, partially or totally, many fixed point theorems for multi-valued mappings in [10,25–28,33–36,38].”
Fixed Point Theory and the Ulam Stability (2014, background): “A nondecreasing function γ : R + → R + is called a comparison function [32, 33] or Matkowski gauge function [34, 35] if lim n→∞ γ n (t) = 0, t ∈ (0,∞) .”
On Some Well Known Fixed Point Theorems in b-Metric Spaces (2013, background): “[8] Due to the symmetry of the distance, the weak contractive condition (1.”
Data dependence results of new multi-step and S-iterative schemes for contractive-like operators (2012, neutral): “[35] Let T ,T̃ : X → X be two operators.”
Common fixed points of mappings satisfying implicit contractive conditions (2012, positive): “Berinde in [7-15] obtained (common) fixed point theorems, which were called constructive (common) fixed point theorems, see [12].”