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In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak α-admissible mappings in the aforesaid spaces. Our results are supported with suitable examples and an application to a system of m-tupled functional equations.

The main purpose of this paper is to present some fixed point results concerning the generalized Reich type α-admissible mappings in cone b-metric spaces over Banach algebras. Our results are significant extensions and generalizations of resent results of N. Hussain at al. (2017) and many well-known results in abundant literature. We also gave an example that confirmed our results.

We discuss, extend, improve and enrich results on simulation functions established by several authors. Furthermore, by using Lemma 2.1 of Radenovic et al. [Bull. Iran. Math. Soc., 2012, 38, 625],we get much shorter and nicer proofs than the corresponding ones in the existing literature.

The study of complex differential equations in recent years has opened up some of questions concerning the determination of the frequency of zero solutions, the distribution of zero, oscillation of the solution, asymptotic behavior, rank growth and so on. Besides, this is solved by only some classes of differential equations. In this paper, our aim was to determine the number of zeros and their arrangement in the first quadrant, for the complex canonical differential equation of the second order. The accuracy of our results, we illustrate with two examples.

In this paper we complement and improve fixed point results established on TAC-contractive mappings in the framework of b-metric spaces. Our analysis starts by a recent paper of Babu and Dula [G. V. R. Babu and T. M. Dula, Fixed points of generalized TAC-contractive mappings in b-metric spaces, Matematički Vesnik 69 (2017), no. [ABSTRACT FROM AUTHOR]

The intent of this paper is to prove a coupled fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings, satisfying ϕ-contractive conditions in a fuzzy metric space. We also furnish some illustrative examples to support our results. [ABSTRACT FROM AUTHOR]

The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski's F-contraction, while the many authors in their papers still use all tree properties of F-contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F-contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings. [ABSTRACT FROM AUTHOR]

In the paper, we consider some fixed point results of F -contractions for triangular α -admissible and triangular weak α -admissible mappings in metric-like spaces. The results on F -contraction type mappings in the context of metric-like spaces are generalized, improved, unified, and enriched. We prove the main result but using only the property ( F 1 ) of the strictly increasing mapping F : 0 , + ∞ → − ∞ , + ∞ . Our approach gives a proper generalization of several results given in current literature. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the (𝒞 , Ψ * , G) class of contraction mappings using C-class functions and some improved control functions for a pair of set valued mappings as well as a pair of single-valued mappings, and prove common fixed point theorems for such mappings in a metric space endowed with a graph. Our results unify and generalize many important fixed point results existing in literature. As an application of our main result, we have derived fixed point theorems for a pair of α -admissible set valued mappings in a metric space. [ABSTRACT FROM AUTHOR]

A new proper generalization of metric called as θ -metric is introduced by Khojasteh et al. (Mathematical Problems in Engineering (2013) Article ID 504609). In this paper, first we prove the Caristi type fixed point theorem in an alternative and comparatively new way in the context of θ -metric. We also investigate two θ -metrics on CB (X) (family of nonempty closed and bounded subsets of a set X). Furthermore, using the obtained θ -metrics on CB (X) , we prove two new fixed point results for multi-functions which generalize the results of Nadler and Lim type in the context of such spaces. In order to illustrate the usability of our results, we equipped them with competent examples. [ABSTRACT FROM AUTHOR]

Using a series iteration method, as well as the mean value theorems of integral in this paper we have determined the solutions of oscillations in the case of negative coefficient. In addition, we applied Sturm's theorems on position of zeros and determined values of amplitudes. [ABSTRACT FROM AUTHOR]

The aim of this paper is to give a generalization of results presented by Long et al. (Fixed Point Theory Appl. 2014:117, 2014) in the framework of partial metric spaces. Three examples are given to support our theoretical results. [ABSTRACT FROM AUTHOR]