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3 articles for “common fixed point”
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Common Fixed Point Theorem in 2-Metric Space Satisfying Rational Inequality
Abstract: Some common fixed point theorems using a new technique by altering distance between the points with the help of certain continues control function. On the other hand, some fixed point theorems by using a non monotonic control function and discussed the importance of control function. In this study, using more general condition satisfying rational inequality along with by proving common fixed point theorem in 2-Metric space.
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 1, 2019 · pp. 1–3 Read article
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Minimization Theorem and Fixed-Point Theorem in Probabilistic Metric Space
Abstract: This paper is devoted to the study of the basic theory and applications of probabilistic metric spaces (PM-space). In this paper, the topological structure and properties for PM-space are considered. The conditions of metrization and the form of metric functions for PM-spaces, Menger PM-spaces and probabilistic normed linear spaces (PN-space) are given, and the characterizations of various probabilistically bounded sets are presented. As applications, we utilize these results obtained in …
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 5, Issue 2, 2019 · pp. 36–41 Read article
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Analysis of Fixed Offshore Platform Deck using Acceleration - Deflection Resonance Method
Abstract: Steel plate is commonly used as the flooring plate for fixed offshore platform Deck and there are several existing methods for analyzing the steel plate. In this research acceleration-displacement resonance method is developed for analyzing plate. The plate is first analyzed considering arbitrary uniformly distributed and point load with an all-round simply support. The method involves transformation of bi-harmonic equation into acceleration- deflection ratio ( R_xx). From the study, the …
Published in International Journal of Structural Mechanics and Finite Elements · Vol. 4, Issue 1, 2018 · pp. 28–35 Read article