71 research outputs found
C*-algebra valued quasi metric spaces and fixed point results with an application
[EN] In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one of the main results to examine the existence and uniqueness of the solution for a system of Fredholm integral equations.Asim, M.; Kumar, S.; Imdad, M.; George, R. (2022). C*-algebra valued quasi metric spaces and fixed point results with an application. Applied General Topology. 23(2):287-301. https://doi.org/10.4995/agt.2022.1678328730123
Some Fixed Points Results in b-Metric and Quasi b-Metric Spaces
We present a fixed point result in quasi b-metric spaces. Our result generalizes recent fixed point results obtained by Aleksit et al., Dung and Hang, Jovanovit et al., Sarwar, and Rahman and classical results obtained by Hardy, Rogers, and Cirie. Also, we obtain a common fixed point result in b-metric spaces. As a special case, we get a result of Cirie and Wong
On semi best proximity points for multivalued mappings in quasi metric spaces
Due to the lack of symmetry property for the quasi metrics, we have considered left and right versions of best proximity points of multivalued mappings of quasi metric spaces. Further we consider the problem of existence of semi (left and right) best proximity points of generalized multivalued contractions of quasi metric spaces via various versions of so called property. Some examples are given to explain the results
Iterative schemes for numerical reckoning of fixed points of new nonexpansive mappings with an application
The goal of this manuscript is to introduce a new class of generalized nonexpansive operators, called (α,β,γ)-nonexpansive mappings. Furthermore, some related properties of these mappings are investigated in a general Banach space. Moreover, the proposed operators utilized in the K-iterative technique estimate the fixed point and examine its behavior. Also, two examples are provided to support our main results. The numerical results clearly show that the K-iterative approach converges more quickly when used with this new class of operators. Ultimately, we used the K-type iterative method to solve a variational inequality problem on a Hilbert space
Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words
This paper deals with the existence and uniqueness of the best proximity points of nonself-mappings in the context of non-Archimedean fuzzy metric spaces. The existence of different proximal quasi-contractive mappings allowed us to generalize some results concerning the existence and uniqueness of the best proximity points in the existing literature. Moreover, an application in computer science, particularly in the domain of words has been provided
On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions
In this study, we establish the convergence of Ishikawa iterates defined by nonlinear quasicontractive mappings on TVS-cone metric space. Further, our results generalize many existing results in
the literature
A study on the existence of numerical and analytical solutions for fractional integrodifferential equations in Hilfer type with simulation
Previous studies have shown that fractional derivative operators have become an integral part of modeling natural and physical phenomena. During the progress and evolution of these operators, it has become clear to researchers that each of these operators has special capacities for investigating phenomena in engineering sciences, physics, biological mathematics, etc. Fixed point theory and its famous contractions have always served as useful tools in these studies. In this regard, in this work, we considered the Hilfer-type fractional operator to study the proposed integrodifferential equation. We have used the capabilities of measure theory and fixed point techniques to provide the required space to guarantee the existence of the solution. The Schauder and Arzela-Ascoli theorems play a fundamental role in the existence of solutions. Finally, we provided two examples with some graphical and numerical simulation to make our results more objective
A generalised fixed point theorem of presic type in cone metric spaces and application to markov process
Effect of Nano-Silica on the Physical, Mechanical and Thermal Properties of the Natural Rubber Latex Modified Concrete
The preparation and properties of latex modified concrete (LMC), nano silica modified concrete (nSMC) and silica-latex modified concrete (SLMC) have been investigated in this study. Properties like compressive strength, tensile strength, flexural strength, thermal characteristics and water absorption have been evaluated. The 7-day compressive strength has increased 37% (30.15 N/mm2) after the inclusion of nano silica and latex. The composite has showed considerable improvements in splitting tensile strength (3.24 N/mm2), flexural strength (6.05 N/mm2) and thermal conductivity, while it lowered the water absorption rate. The property increase has been attributed to the pore filling and pozzolanic activity of nano silica and densification of matrix by natural rubber latex and nano silica. The results of this study have suggested that the addition of nano silica and latex could be a relevant technique toward conventional concrete as a key material along with energy efficient construction and building technology
Effect of Nano-Silica on the Physical, Mechanical and Thermal Properties of the Natural Rubber Latex Modified Concrete
452-457The preparation and properties of latex modified concrete (LMC), nano silica modified concrete (nSMC) and silica-latex modified concrete (SLMC) have been investigated in this study. Properties like compressive strength, tensile strength, flexural strength, thermal characteristics and water absorption have been evaluated. The 7-day compressive strength has increased 37% (30.15 N/mm2) after the inclusion of nano silica and latex. The composite has showed considerable improvements in splitting tensile strength (3.24 N/mm2), flexural strength (6.05 N/mm2) and thermal conductivity, while it lowered the water absorption rate. The property increase has been attributed to the pore filling and pozzolanic activity of nano silica and densification of matrix by natural rubber latex and nano silica. The results of this study have suggested that the addition of nano silica and latex could be a relevant technique toward conventional concrete as a key material along with energy efficient construction and building technology
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