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Partial b -metric spaces are characterised by a modified triangular inequality and that the self-distance of any point of space may not be zero and the symmetry is preserved. The spaces with a symmetric property have interesting topological properties. This manuscript paper deals with the existence and uniqueness of fixed point points for contraction mappings using triangular weak α -admissibility with regard to η and C -class functions in the class of partial b -metric spaces. We also introduce an example to demonstrate the obtained results. [ABSTRACT FROM AUTHOR]

We initiate the concept of a new generalized F-contraction satisfying some contractive conditions involving four maps on a partial metric space. We set up an example to elucidate our main result. An application is derived where a system of elliptic boundary value equations has a common solution. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to establish some fixed point results for (α; β)-admissible Z-contraction mappings in complete metric-like spaces. Our results generalize and extend several known results on literature. Two illustrated examples are also presented. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new generalized (α k, θ)-contractive multi-valued mapping in b-metric space, Our results generalize and extend several known results of metric. We provide an example to show the superiority of our results over corresponding fixed point results proved in b-metric spaces. In addition, we use our results to present an application. [ABSTRACT FROM AUTHOR]

In this paper, we establish the existence of some fixed point results for generalized (α, β, F)-Geraghty contraction in metric-like spaces. We provide an example in order to support our results where some consequence applications of such result will be considered in this article. The obtained results improve and extend some well-known common fixed point results in the literature. [ABSTRACT FROM AUTHOR]

In this paper, we present some fixed point results in the setting of a complete metric space by defining a new contractive condition via a cyclic (α; β)-admissible mapping imbedded in simulation function. As a consequence of our main theorems we derive many fixed point theorem for a mapping satisfying some nonlinear contractions. Our results generalize and extend several works existing in literature. Finally, we provide an example in order to support our results. [ABSTRACT FROM AUTHOR]

The purpose of this article is to generalize common fixed point theorems under contractive condition involving rational expressions on a complete complex-valued metric space. Obtained results in this article extend, generalize, and improve wellknown comparable results in the literature. [ABSTRACT FROM AUTHOR]

The fixed point theorems in various contraction mappings have been provided by many researchers. Some of them used certain functions in mapping to guarantee the existence of fixed point. The purpose of this paper is to present some fixed point result on contraction mapping in partially ordered quasi-metric space that applying a w-distance. The generalized altering distance function on the mapping plays a role in theorems. The results extend some well-known results in the references. We also improve these new results to the common fixed point. [ABSTRACT FROM AUTHOR]

Our goal in this paper is to present three classes of cyclic (α, β)-(ψ, θ, φ)-admissible multivalued mappings, and then prove the existence of fixed point in a complete metric space. Our results generalize and extend several works. Two examples were added to support our work. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to present a new class of generalized Berinde-type (&#951,ξ,ν,θ)-contractive in b-metric space and establish some fixed and common fixed point results for the class of mappings in partially ordered complete b-metric spaces. Our results generalize and extend several known results from the context of ordered metric spaces to the setting of ordered b-metric spaces. [ABSTRACT FROM AUTHOR]

We establish some fixed point results for mappings satisfying (η; θ)-quasicontraction condition in complete generalized metric spaces. Our results generalize many others. An example is provided to support our work. [ABSTRACT FROM AUTHOR]

The aim of this paper is to extend some results of Feng and Liu , Klim and Wardowski , Ćirić and others from the context of metric spaces to cone metric spaces using the concept of sequentially lower semicontinuous. Examples are provided to illustrate the theory. [ABSTRACT FROM AUTHOR]

The aim of this paper is to introduce a new type of multivalued operators similar to those of Ciric-Suzuki type. A common fixed point theorem for multivalued maps on metric spaces satisfying Ciric-Suzuki-type inequality is proved. Applications to certain functional equations arising in dynamic programming are also discussed. [ABSTRACT FROM AUTHOR]

The concept of a cone b-metric space has been introduced recently as a generalization of a b-metric space and a cone metric space in 2011. The aim of this paper is to establish some fixed point and common fixed point theorems on ordered cone b-metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature to ordered cone b-metric spaces. Some supporting examples are given. [ABSTRACT FROM AUTHOR]

The main aim of this paper is to prove fixed point theorems in quasi-cone metric spaces which extend the Banach contraction mapping and others. This is achieved by introducing different kinds of Cauchy sequences in quasi-cone metric spaces. [ABSTRACT FROM AUTHOR]

The investigation of symmetric/asymmetric structures and their applications in mathematics (in particular in operator theory and functional analysis) is useful and fruitful. A metric space has the property of symmetry. By looking in the same direction and using the α -admissibility with regard to η and θ -functions, we demonstrate some existence and uniqueness fixed point theorems. The obtained results extend and generalize the main result of Isik et al. (2019). At the end, some illustrated applications are presented. [ABSTRACT FROM AUTHOR]

In this study, we introduce a new type of contractive mapping to establish the existence and uniqueness of fixed points for this type of contraction. Some related examples are built demonstrating the superiority of our results compared to the existing onesin the literature. As applications of the results obtained, some new fixed point theorems are presented for graph-type contractions. Furthermore, sufficient conditions are discussed to ensure the existence underlying various approaches of a solution for a functional equation originating in dynamic programming. [ABSTRACT FROM AUTHOR]

In this paper, by characterizing a weak contractive condition based on using C − functions and α − admissible multi-valued mapping of type S, we present some fixed point results for (α , F) − admissible multi-valued mappings in the setting of b − metric spaces. Some examples and an application are added in order to show the reliability of our obtained results. Our results amend, unify, and generalize some existing results in the literature. The scientific novelty of our main results is to take new contraction self-mappings in b − metric spaces for multi-valued mappings. [ABSTRACT FROM AUTHOR]

In this paper, we initiate the notion of generalized multivalued (α K * , Υ , Λ) -contractions and provide some new common fixed point results in the class of α K -complete partial b-metric spaces. The obtained results are an improvement of several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we present applications dealing with the existence of a solution for systems either of functional equations or of nonlinear matrix equations. [ABSTRACT FROM AUTHOR]