A study on the environment protection and the effect of solid waste material dumping on environment

The impact of rapid industrialization around the globe and unsafe waste management practices have become increasingly significant within the last two decades as the disclosed number of un-engineered facilities and contaminated sites steadily grow and the anticipated remediation costs increase. A new service sector is emerging across the world in waste containment, soil remediation and environmental restoration. The need to accomplish the tasks given in environmental restoration and waste management places a new responsibility on the services of the environmental engineer. It requires collaboration between geotechnical and environmental engineers. This paper deals with the detailed study of the impact of solid waste dumping on the Geo-Environment. The case study done helps to actual visualization of the effects of the same

Common fixed points for generalized contractive mappings in cone metric spaces

The purpose of this paper is to establish coincidence point and common fixed point results for four maps satisfying generalized weak contractions in cone metric spaces. Also, an example is given to illustrate our results

An application of fixed point theorem to best approximation in locally convex space

AbstractA common fixed point theorem of Jungck [G. Jungck, On a fixed point theorem of fisher and sessa, Internat. J. Math. Math. Sci., 13 (3) (1990) 497–500] is generalized to locally convex spaces and the new result is applied to extend a result on best approximation

Nonlinear generalized cyclic contractions in complete G-metric spaces and applications to integral equations

In this paper we introduce generalized cyclic contractions in G-metric spaces and establish some fixed point theorems. The presented theorems extend and unify various known fixed point results. Examples are given in the support of these results. Finally, an application to the study of existence and uniqueness of solutions for a class of nonlinear integral equations is given

Extension of Darbo’s fixed point theorem via shifting distance functions and its application

In this paper, we discuss solvability of infinite system of fractional integral equations (FIE) of mixed type. To achieve this goal, we first use shifting distance function to establish a new generalization of Darbo’s fixed point theorem, and then apply it to the FIEs to establish the existence of solution on tempered sequence space. Finally, we verify our results by considering a suitable example

Common fixed point theorems via common limit range property in symmetric spaces under generalized Phi-contractions

The aim of this paper is to use common limit range property for a quadruple of non-self mappings for deriving common fixed point results under a generalized Φ-contraction condition in symmetric spaces. Some examples are given to exhibit different types of situations where these conditions can be used and to distinguish our results from the known ones. As an application, an existence result for certain systems of integral equations is presented

Coupled common fixed point theorems for a pair of commuting mappings in partially ordered complete metric spaces

AbstractThe purpose of this paper is to establish a coupled coincidence point for a pair of commuting mappings in partially ordered complete metric spaces. We also present a result on the existence and uniqueness of coupled common fixed points. An example is given to support the usability of our results

Cyclic-Prešić–Ćirić operators in metric-like spaces and fixed point theorems

In this paper, we define the cyclic-Prešić–Ćirić operators in metric-like spaces and prove some fixed point results for such operators. Our results generalize that of S.B. Prešić [Sur une classe d'inéquations aux différences finite et sur la convergence de certaines suites, Publications de l'Institut Mathématique (N.S.), 5(19):75–78, 1965] and several later results. An example is given which shows that the results proved herein are the proper generalizations of existing ones

Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces

Coincidence point and common fixed point results with the concept of generalized altering distance functions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature. To illustrate our results and to distinguish them from the existing ones, we equip the paper with examples. As an application, we study the existence of a common solution to a system of integral equations