Common fixed points in best approximation for Banach operator pairs with Ćirić type I-contractions

N Hussain - Journal of Mathematical Analysis and Applications, 2008 - Elsevier
The common fixed point theorems, similar to those of Ćirić [Lj. B. Ćirić, On a common fixed
point theorem of a Gregus type, Publ. Inst. Math.(Beograd)(NS) 49 (1991) 174–178; Lj. B …

Common fixed points for Banach operator pairs with applications

HK Pathak, N Hussain - Nonlinear Analysis: Theory, Methods & …, 2008 - Elsevier
The existence of common fixed point results for a Banach operator pair under certain
generalized contractions is established. The invariant best approximation results are proved …

Cq-commuting maps and invariant approximations

N Hussain, BE Rhoades - Fixed Point Theory and Appl, 2006 - Springer
Let X be a linear space. A p-norm on X is a real-valued function on X with 0< p≤ 1,
satisfying the following conditions:(i) xp≥ 0 and xp= 0⇔ x= 0,(ii) αx p=| α| pxp,(iii) x+ yp≤ x …

Best Approximation of Fixed-Point Results for Branciari Contraction of Integral Type on Generalized Modular Metric Space

N Manav Tatar, RP Agarwal - Mathematics, 2023 - mdpi.com
In the realm of generalized modular metric spaces, we substantiate the validity of fixed-point
theorems with Branciari contractions. This paper expands and broadens the original …

Common fixed points from best simultaneous approximations

AR Khan, F Akbar - Taiwanese Journal of Mathematics, 2009 - projecteuclid.org
We obtain some results on common fixed points from the set of best simultaneous
approximations for a map $ T $ which is asymptotically $(f, g) $-nonexpansive where $(T, f) …

Generalized contraction and invariant approximation results on nonconvex subsets of normed spaces

M Abbas, B Ali, S Romaguera - Abstract and Applied Analysis, 2014 - Wiley Online Library
Wardowski (2012) introduced a new type of contractive mapping and proved a fixed point
result in complete metric spaces as a generalization of Banach contraction principle. In this …

[PDF][PDF] Applications of fixed point theorems to invariant approximation

AR Khan, N Hussain, AB Thaheem - Approximation Theory and its …, 2000 - researchgate.net
TO INVARIANT APPROXIMATION Page 1 Approx. Theory &. its Appl. 16 - 3 , 200(), 48 - 55
APPLICATIONS OF FIXED POINT THEOREMS TO INVARIANT APPROXIMATION Khan, AR …

[PDF][PDF] Common fixed point and invariant approximation results in certain metrizable topological vector spaces

N Hussain, V Berinde - Fixed Point Theory and Applications, 2006 - Springer
We obtain common fixed point results for generalized-nonexpansive-subweakly commuting
maps on nonstarshaped domain. As applications, we establish noncommutative versions of …

Fixed points of quasi-nonexpansive mappings and best approximation

TD Narang, S Chandok - 2009 - acikerisim.selcuk.edu.tr
Özet Using fixed point theory, B. Brosowski [Mathematica (Cluj) 11 (1969), 195-220] proved
that if T is a nonexpansive linear operator on a normed linear space X, C a T-invariant …

[PDF][PDF] -approximation and fixed points of nonexpansive mappings in metric spaces

TD Narang, S Chandok - Matematički vesnik, 2009 - eudml.org
\quad Using fixed point theory, B. Brosowski [2] proved that if $ T $ is a nonexpansive linear
operator on a normed linear space$ X, C $ a $ T− $ invariant subset of $ X $ and$ x $ a $ T …