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In this article, following Bizare and Amriteimoori  and B. Parsad and R. Sahni , we modify Ishikawa, Agarwal et al., Noor, SP iterative schemes and compare the rate of convergence of Ishikawa, Agarwal et al., Noor, SP and new modified Ishikawa, Agarwal et al., Noor, SP iterative schemes not only for particular fixed value of an,bn,rn but also for varying the value of an,bn,rn. With the help of two numerical examples, we compare the converging step.
The Banach frame for a Banach space X can reconstruct each vector in X by the pre-frame operator or the
reconstruction operator. The Banach Λ-frame for operator spaces was introduced
by Kaushik, Vashisht and Khattar [Reconstruction Property and Frames in Banach Spaces, Palestine Journal of Mathematics, 3(1), 2014, 11-26]. In this paper we
give necessary and sufficient conditions for the existence of the Banach Λ-frames.
A Paley-Wiener type stability theorem for Λ-Banach frames is discussed.
There are various technologies like
CVD. Radio Frequency
sputtering, spin coating etc. present for thin film deposition for various
applications and for gas sensors. In this review, special attention is focused on the
thin film deposition for gas sensing applications by using Langmuir Blodgett
method. Langmuir Blodgett method also discussed briefly. Modified technique of
Langmuir Schaefer method is discussed and various examples of Langmuir Blodgett techniques for gas
sensing for space applications are included. Future prospects of gas sensing
thin film deposition by Langmuir Blodgett technique are explained.
In this paper, we suggest a new type of three step iterative scheme called the CR iterative scheme and study the strong convergence of this iterative scheme for a certain class of quasi-contractive operators in Banach spaces. We show that for the aforementioned class of operators, the CR iterative scheme is equivalent to and faster than Picard, Mann, Ishikawa, Agarwal et al., Noor and SP iterative schemes. Moreover, we also present various numerical examples using computer programming in C++ for the CR iterative scheme to compare it with the other above mentioned iterative schemes. Our results show that as far as the rate of convergence is concerned 1) for increasing functions the CR iterative scheme is best, while for decreasing functions the SP iterative scheme is best; 2) CR iterative scheme is best for a certain class of quasi-contractive operators.