Approximating fixed points by ishikawa iterates

Abstract

In a uniformly convex Banach space the convergence of Ishikawa iterates to a fixed point is discussed for nonexpansive and generalised nonexpansive mappings.

Approximating common fixed points of families of quasi‐nonexpansive mappings

“…Diaz and Metcalf [3] considered the structure of the set of subsequential limit points of the sequence of iterates and investigated when this sequence converges. Dotson [4] (3.4) In the present situation, it is necessary to modify Condition A as stated by Maiti and Ghosh [5] in the following way. i=l If we set S R I in (3.5), this condition reduces to condition A as stated in a paper by Maiti and Ghosh [5].…”

“…Dotson [4] (3.4) In the present situation, it is necessary to modify Condition A as stated by Maiti and Ghosh [5] in the following way. i=l If we set S R I in (3.5), this condition reduces to condition A as stated in a paper by Maiti and Ghosh [5]. PROOF.…”

Strong-weak convergence of two algorithms for total asymptotically nonexpansive mappings

“…Maiti and Ghosh [15] and Tan and Xu [24] studied the approximation of fixed points of a nonexpansive mapping T by the Ishikawa iteration under the condition (A) which is weaker than the requirement that T is demicompact.…”

Synthesis, in Silico Molecular Docking Studies and Antibacterial Activity of 4-(4-Hydrazinylbenzyl)-1,3-Oxazolidin-2-One against DNA Gyrase Enzyme

“…Therefore, many researchers have synthesized these compounds as target structures and evaluated their biological activities. Acid hydrazides have frequently been investigated for testing their potentiality as biological properties such as anti-convulsant [9], anti-helmintic [10], anti-tumor [11], anti-leprotic [12], anti-malarial [13], anti-cancer [14], anti-depressant [15], anti-HIV [16],analgesic-anti-inflammatory [17], leishmanicidal [18], vasodilator activities [19].…”