Convergence and existence results for best proximity points

MA Al-Thagafi, N Shahzad - Nonlinear Analysis: Theory, Methods & …, 2009 - Elsevier
We provide a positive answer to a question raised by Eldred and Veeramani [AA Eldred, P.
Veeramani, Existence and convergence of best proximity points, J. Math. Anal. Appl. 323 …

Basic problems of the metric fixed point theory and the relevance of a metric fixed point theorem

IA Rus, MA Şerban - Carpathian Journal of Mathematics, 2013 - JSTOR
In this paper we present some basic problems of the metric fixed point theory (existence,
uniqueness, set-theoretic aspects (Bessaga, Janos, Rus,...), order-theoretic aspects …

On some fixed point theorems for Ćirić operators

M Moga, R Trușcă - Miskolc Mathematical Notes, 2024 - real.mtak.hu
In this paper, we will present existence and localization fixed point theorems and stability
results for the fixed point problem involving some very general classes of operators (single …

Best proximity results in regular cone metric spaces

RH Haghi, V Rakoc̆ević, S Rezapour… - Rendiconti del Circolo …, 2011 - Springer
Best proximity results in regular cone metric spaces Page 1 Rend. Circ. Mat. Palermo (2011)
60:323–327 DOI 10.1007/s12215-011-0050-6 Best proximity results in regular cone metric …

Some results on best proximity points for cyclic mappings

HK Pathak, N Shahzad - Bulletin of the Belgian Mathematical …, 2013 - projecteuclid.org
In this paper we consider a cyclic $\varphi_A $-contraction mapping defined on a partially
ordered orbitally complete metric space and prove some fixed point and best proximity point …

Convergence and existence results for best C-proximity points

HK Pathak, N Shahzad - 2012 - degruyter.com
We provide a positive answer to a question raised by Al-Thagafi and Shahzad [Nonlinear
Anal. 70 (2009), 3665–3671] about the existence of a best proximity point for a cyclic …

Fixed point equations with abstract Volterra operators on spaces of functions of several variables

A Petruşel, IA Rus - Applicable Analysis and Discrete Mathematics, 2022 - JSTOR
Several notions of abstract Volterra operators on spaces of functions of one variable are well
known. In this paper, we introduce various notions of abstract Volterra operators in spaces of …

[PDF][PDF] Well-posedness and fractals via fixed point theory

C Chifu, G Petruşel - Fixed Point Theory and Applications, 2008 - Springer
Research Article Well-Posedness and Fractals via Fixed Point Theory Page 1 Hindawi
Publishing Corporation Fixed Point Theory and Applications Volume 2008, Article ID 645419, 9 …

Fixed point results for multivalued contractions on ordered gauge spaces

G Petruşel - Open Mathematics, 2009 - degruyter.com
Fixed point results for multivalued contractions on ordered gauge spaces Page 1 Cent. Eur. J.
Math. • 7(3) • 2009 • 520-528 DOI: 10.2478/s11533-009-0027-2 Central European Journal of …

Existence and data dependence of fixed points and strict fixed points for multivalued 𝑌-contractions

G PETRUSel - Carpathian Journal of Mathematics, 2007 - JSTOR
Existence and data dependence of fixed points and strict fixed points for multivalued 𝑌-contractions
Page 1 CARPATHIAN J. MATH. 23 (2007), No. 1-2,172-176 Dedicated to Professor loan A …