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In this article, we introduce generalized cyclic contractions in the context of metric-like spaces and prove some new fixed point results concerning these contractions. Our results, extend and unify several results in existing literature. We present suitable examples to make our findings worth mentioning. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new class of algebras satisfying certain conditions which has been named power algebras and we prove some fixed point theorems for a new class of contractions. We give new conditions for the existence and uniqueness of fixed points for this new class of mappings which are not a contraction in the usual algebra. Also, we introduce a new iterative algorithm for fixed-point problems in a Banach algebra. This results improve and extend the corresponding conclusions of the Ishikawa algorithm under weaker conditions and lead to stronger results. In conclusion, we give an application to nonlinear integral equations. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of extended parametric b-metric space and investigate the existence of fixed points for some contractive type mappings in such spaces. Consequently, we derive some new fixed point results in triangular ordered extended fuzzy b-metric spaces. Moreover, some examples and an application are provided here to illustrate the applicability of the obtained results. [ABSTRACT FROM AUTHOR]

In this paper, the coincidence point problem of Nadler type is treated for two mappings (one single-valued and one multi-valued) in a metric space. A generalized (α; θ; f)-contractive condition is assumed, together with α-completeness of the space, α-continuity of the multi-valued mapping and α-compatibility of the two mappings. The results are applied to metric spaces endowed with a graph or with a binary relation. [ABSTRACT FROM AUTHOR]

In this paper, we prove some fixed point results for α-admissible mappings which satisfy Suzuki type contractive condition in the setup of b-metric spaces. Finally, examples are presented to verify the effectiveness and applicability of our main results. [ABSTRACT FROM AUTHOR]

The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ)-contractive mappings using partially weakly G-α-admissibility in the setup of G-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We also derive certain new coincidence point and common fixed point theorems in partially ordered G-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results. [ABSTRACT FROM AUTHOR]

We extend the common fixed-point theorem established by Zhang and Song in 2009 to generalized ( ψ, φ)-weak contractions. Moreover, we give an example that illustrates the main result. Finally, some common fixed-point results are obtained for mappings satisfying a contraction condition of the integral type in complete metric spaces. [ABSTRACT FROM AUTHOR]

We establish some coupled fixed point theorems for a mapping satisfying some contraction conditions in complete partial metric spaces. Our consequences extend the results of H. Aydi (2011). [ABSTRACT FROM AUTHOR]

The aim of this paper is to present some coincidence and common fixed point results for generalized weakly G-contractive mappings in the setup of partially ordered G-metric space. We also provide an example to illustrate the results presented herein. As an application of our results, periodic points of weakly G-contractive mappings are obtained. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the structure of S p -metric spaces as a generalization of both S-metric and S b -metric spaces. Also, we present the notions of S̃-contractive mappings in the setup of ordered S p -metric spaces and investigate the existence of a fixed point for such mappings under various contractive conditions. We provide examples to illustrate the results presented herein. An application to periodic boundary value problems is presented. [ABSTRACT FROM AUTHOR]