FIXED POINT RESULTS IN COMPLEX VALUED METRIC SPACES WITH AN APPLICATION

In this paper, we introduce fixed point theorem for a general contractive condition in complex valued metric spaces. Also, some important corollaries under this contractive condition areobtained. As an application, we find a unique solution for Urysohn integral equations and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. [2] and some other known results in the literature

3D Camouflaging Object using RGB-D Sensors

This paper proposes a new optical camouflage system that uses RGB-D cameras, for acquiring point cloud of background scene, and tracking observers eyes. This system enables a user to conceal an object located behind a display that surrounded by 3D objects. If we considered here the tracked point of observer s eyes is a light source, the system will work on estimating shadow shape of the display device that falls on the objects in background. The system uses the 3d observer s eyes and the locations of display corners to predict their shadow points which have nearest neighbors in the constructed point cloud of background scene.Comment: 6 pages, 12 figures, 2017 IEEE International Conference on SM

On the Ishikawa iteration process in Hilbert spaces

In this paper, we shall prove that a certain sequence of points which is iteratively defined converges always to a fixed point of some contractive mappings. The results generalize corresponding theorems of Singh and Qihou

Common fixed points of Greguš type multi-valued mappings

summary:This work is considered as a continuation of [19,20,24]. The concepts of $\delta$-compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a $\phi$-type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension

A COMMON RANDOM FIXED POINT THEOREM OF RATIONAL INEQUALITY IN POLISH SPACES WITH APPLICATION

In this paper, we prove a new common random fixed point theorem for a pair of random operators satisfying random F-contraction of rational inequality in polish spaces. An application to a system of random nonlinear integral equations is discussed. Finally, we give some examples to verify our results

Common Fixed Point Theorems for Weak Contraction Conditions of Integral Type

In this paper we shall establish two common fixed point theorems for a contractive condition and A-contraction mappings of integral type which improve and extend the results of P.B. Prajapati, R. Bhardwaj, M. O. Olatinwo and many others.Keywords: Common fixed point, general contractive mapps of integral type, weak contraction, metric spaces

Stability and Existence of Solutions for a Tripled Problem of Fractional Hybrid Delay Differential Equations

The purpose of this paper is to determine the existence of tripled fixed point results for the tripled symmetry system of fractional hybrid delay differential equations. We obtain results which support the existence of at least one solution to our system by applying hybrid fixed point theory. Similar types of stability analysis are presented, including Ulam–Hyers, generalized Ulam–Hyers, Ulam–Hyers–Rassias, and generalized Ulam–Hyers–Rassias. The necessary stipulations for obtaining the solution to our proposed problem are established. Finally, we provide a non-trivial illustrative example to support and enhance our analysis.This work was supported in part by the Basque Government under Grant IT1555-22

THE COMPARABLY ALMOST (S,T)- STABILITY FOR RANDOM JUNGCK-TYPE ITERATIVE SCHEMES

The purpose of this paper is to introduce the concept of generalized - weakly con-tractive random operators and study a new concept of stability introduced by Kim [15] which is alled comparably almost stability and then prove the comparably almost (S,T)- stability for the  Jungck-type random iterative schemes. Our results extend, improve and unify the recent results in  [15], [19], [32] and many others. We also give stochastic version of many important known results

Random Fixed Points For Occasionally Weakly Compatible Mappings

In this paper, we obtain common random fixed point theorems for two pairs of occasionally weakly compatible self random mappings under contractive conditions involving two generalized altering distance functions in a complete separable metric space. Keywords: Common random fixed point, Complete separable metric space, Generalized altering distance function, Occasionally weakly compatible mappings, Point of coincidence

Comparison between Numerical, Analytical, and Field Solutions with Experimental Data for 90º Open Channel Junctions

Junction in open channel flow points out any side water secession from natural or artificial channels. In the last decades, comprehensive theoretical and experimental investigations on the dividing flow in open channel junctions have been executed to understand the characteristics of this separating flow. In this research, a three-dimensional turbulence model by fluent software used to replicate the flow characteristics of a 90º open channel junctions for two geometries. One is with equal width and horizontal bed and the other is field canal junction with irregular section. The modeling is based on the Navier-Stokes equation and κ-ω turbulent model. Comparing prepared to the numerical solution, the analytical model and the field works with published experimental data. The comparison showed that the numerical solution gave good agreements with maximum discrepancy 1.620% for rectangular sections and 0.718% for irregular sections than the published experimental data. The analytical solution gave a large error than numerical with a maximum discrepancy of 2.95% for the rectangular section and 11.485% for irregular sections than the published experimental data. A proposed relation between discharge ratio with upstream Froude number and depth ratio for the irregular section is suggested. The proposed equation has a maximum discrepancy equal to 0.433% with reference to the field data recorded