Hybrid Ćirić Type Graphic Υ,Λ-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations

In this paper, we initiate the notion of Ćirić type rational graphic (Υ,Λ) -contraction pair mappings and provide some new related common fixed point results on partial b-metric spaces endowed with a directed graph G. We also give examples to illustrate our main results. Moreover, we present some applications on electric circuit equations and fractional differential equations.Basque Government through grant IT1207/19

Applying fixed point techniques for obtaining a positive definite solution to nonlinear matrix equations

In this manuscript, the concept of rational-type multivalued F−contraction mappings is investigated. In addition, some nice fixed point results are obtained using this concept in the setting of MM−spaces and ordered MM−spaces. Our findings extend, unify, and generalize a large body of work along the same lines. Moreover, to support and strengthen our results, non-trivial and extensive examples are presented. Ultimately, the theoretical results are involved in obtaining a positive, definite solution to nonlinear matrix equations as an application

A relation theoretic m-metric fixed point algorithm and related applications

In this article, we introduce the concept of generalized rational type $F$ -contractions on relation theoretic m-metric spaces (denoted as $F_{R}^{m}$-contractions, where $R$ is a binary relation) and some related fixed point theorems are provided. Then, we achieve some fixed point results for cyclic rational type $F_{R}^{m}$- generalized contraction mappings. Moreover, we state some illustrative numerically examples to show our results are true and meaningful. As an application, we discuss a positive definite solution of a nonlinear matrix equation of the form $\Lambda = S+\sum\limits_{i = 1}^{\mu }Q_{i}^{\ast }\Xi \left(\Lambda \right) Q_{i}$

Hardy-Rogers-type fixed point theorems for α\alpha -GFGF-contractions

summary:The aim of this paper is to introduce some new fixed point results of Hardy-Rogers-type for $\alpha$-$\eta$-$GF$-contraction in a complete metric space. We extend the concept of $F$-contraction into an $\alpha$-$\eta$-$GF$-contraction of Hardy-Rogers-type. An example has been constructed to demonstrate the novelty of our results

On Fuzzy Fixed Points and an Application to Ordinary Fuzzy Differential Equations

The aim of this paper is to obtain the common fuzz fixed points of α-fuzzy mappings satisfying generalized almost Y,Λ-contraction in complete metric spaces. Our results are extensions and improvements of the several well-known recent and classical results in literature. We give an example for supporting these results. As an application, we apply our obtained results to study the existence of a solution for a second order nonlinear boundary value problem

Generalized contractions with triangular α-orbital admissible mapping on Branciari metric spaces

Abstract The purpose of this paper is to generalize fixed point theorems introduced by Jleli et al. (J. Inequal. Appl. 2014:38, 2014) by using the concept of triangular α-orbital admissible mappings established in Popescu (Fixed Point Theory Appl. 2014:190, 2014). Some examples are given here to illustrate the usability of the obtained results

The Method of Fundamental Solutions for the 3D Laplace Inverse Geometric Problem on an Annular Domain

In this paper, we are interested in an inverse geometric problem for the three-dimensional Laplace equation to recover an inner boundary of an annular domain. This work is based on the method of fundamental solutions (MFS) by imposing the boundary Cauchy data in a least-square sense and minimisation of the objective function. This approach can also be considered with noisy boundary Cauchy data. The simplicity and efficiency of this method is illustrated in several numerical examples

Fixed Point Results under New Contractive Conditions on Closed Balls

The goal of this manuscript is to present a new contractive mapping, namely a C ́iric ́-type rational (α∗,η∗,Λ,Υ)-multi- valued contraction mapping. In the framework of ordinary metric spaces, several fixed point results for semi α∗-admissible multi- valued contraction mappings with respect to η are also given. In addition, we have an example to back up our research. Finally, several fixed point results with a graph were discussed to improve the effectiveness of our contraction. In the same way, our findings expand, generalize and unify a large number of solid articles in the same direction

Common Fixed Point Theorems of Generalized Multivalued (<i>ψ</i>,<i>ϕ</i>)-Contractions in Complete Metric Spaces with Application

The purpose of this paper is to introduce the notion of generalized multivalued &#968; , ϕ-type contractions and generalized multivalued &#968; , ϕ-type Suzuki contractions and establish some new common fixed point theorems for such multivalued mappings in complete metric spaces. Our results are extension and improvement of the Suzuki and Nadler contraction theorems, Jleli and Samet, Piri and Kumam, Mizoguchi and Takahashi, and Liu et al. fixed point theorems. We provide an example for supporting our new results. Moreover, an application of our main result to the existence of solution of system of functional equations is also presented