Points For Such Mappings Research Articles

Fixed fuzzy point results of generalized Suzuki type F-contraction mappings in ordered metric spaces

Abstract The aim of this paper is to introduce generalized Suzuki type F-contraction fuzzy mappings and to prove the existence of fixed fuzzy points for such mappings in the setup of complete ordered metric spaces. An example is provided to show the validity of our results, followed by couple of remarks about the comparison of obtained results with the existing results in the literature. An application of our result to the domain of words is also presented.

Fixed point theorems for generalized nonexpansive mappings in hyperbolic spaces

In this paper, we prove fixed point theorems for some generalized nonexpansive self-mappings on a nonempty subset of hyperbolic spaces and approximate a fixed point for such mappings in hyperbolic spaces. Our results extend the concept of Ghoncheh and Razani (Fixed Point Theory Appl 76. http://www.fixedpointtheoryandapplications.com/content/2014/1/76, 2014) from geodesic Ptolemy spaces to hyperbolic spaces.

Existence and stability of fixed point set of Suzuki-type contractive multivalued operators in b-metric spaces with applications in delay differential equations

In this paper, we introduce a class of Suzuki-type contractive multivalued mappings and establish the existence of fixed points of such mappings in the setup of b-metric spaces. Some examples are presented to support the results proved herein. An estimate of Hausdorff distance between the fixed point sets of two Suzuki-type contractive multivalued mappings is obtained. As an application of results thus obtained, existence and uniqueness of periodic solution of delay differential equations are shown.

Best Proximity Point Results in Non-Archimedean Modular Metric Space

In this paper, we introduce the new notion of Suzuki-type ( α , β , θ , γ ) -contractive mapping and investigate the existence and uniqueness of the best proximity point for such mappings in non-Archimedean modular metric space using the weak P λ -property. Meanwhile, we present an illustrative example to emphasize the realized improvements. These obtained results extend and improve certain well-known results in the literature.

Cone $$b_2$$ b 2 -metric spaces over Banach algebra with applications

In the present paper, we first introduce the concept of Cone \(b_2\)-metric space over Banach algebras which generalizes the notions of \(b_2\)-metric space and cone metric spaces over Banach algebra. Next, we define generalized Lipschitz and expansive maps in the new structure and establish the existence and uniqueness of fixed points for such mappings in Cone \(b_2\)-metric space over Banach algebra. The results presented here generalize and extend some recent results of Singh et al. (Comment Math 52(2):143–151, 2012) and Wang et al. (Math Japonica 29:631–636, 1984). Also, we illustrate the result by an appropriate example. Finally, an application to integral equations is given to demonstrate the effectiveness of our acquired results.

Fixed Points of Almost Generalized (a, y)- Contractions with Rational Expressions

In this paper, we introduce almost generalized (a, y)-contractions with rational expression type mappings and establish the existence of fixed points for such mappings in complete partially ordered metric spaces. Further, we define `Condition (H)’ and prove the existence of unique fixed point under the additional assumption `Condition (H)’. Our results generalize the results of Arshad, Karapinar and Ahmad [1] and Harjani, Lopez and Sadarangani [2].

Modified F-contractions via α-admissible mappings and application to integral equations

In this paper, we introduce the concept of a modified F-contraction via ?-admissible mappings and propose some theorems that guarantee the existence and uniqueness of fixed point for such mappings in the frame of complete metric spaces. We also provide some illustrative examples. Moreover, we consider an application solving an integral equation.

Best proximity points for generalized - α - η- ψ - Geraghty proximal contraction mappings

In this paper, we introduce the new notion of generalized - α - η - ψ - Geraghty proximal contraction mappings and prove the existence of the best proximity point for such mappings in α - η complete metric spaces. we give an example to illustrate our result. Our result extends some of the results in the literature.

Extension of almost generalized weakly contractive mappings in rectangular b-metric spaces and fixed point results

In this work, we extend the concept of an almost generalized weakly contractive mapping in rectangular b-metric spaces. The establish of fixed point of such mappings is also provided. We give an example to support our results.

A new contractive condition approach to [formula omitted]-fixed point results in metric spaces and its applications

In this work, we introduce the new concept of a generalization of (F,φ)-contraction mapping and establish some existence results of φ-fixed point for such mappings. We also state some illustrative examples to support our results and give numerical experiment for approximating the φ-fixed point in this example. As an application, the obtained results are used to deduce some fixed point theorems in partial metric spaces and the application to nonlinear integral equations is given in order to illustrate the effectiveness of the main results.

Best proximity points for generalized α-ϕ-Geraghty proximal contraction mappings and its applications

AbstractIn this paper, we introduce the new notion of generalized α-ϕ-Geraghty proximal contraction mappings and investigate the existence of the best proximity point for such mappings in complete metric spaces. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature.

Fixed points for cyclic R-contractions and solution of nonlinear Volterra integro-differential equations

AbstractIn this paper, we introduce the notion of cyclic R-contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to support the main result. Our result unify, complement, and generalize various comparable results in the existing literature.

Fixed points for Chatterjea contractions on a metric space with a graph

In this work‎, ‎we formulate Chatterjea contractions using graphs in metric spaces endowed with a graph ‎‎and‏ ‎‎‎‎investigate ‎the ‎existence‎ ‎of ‎fixed ‎points ‎for such mappings ‎under two different hypotheses‎. We also discuss the uniqueness of the fixed point. The given result is a generalization of Chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.

Fuzzy fixed points of generalized F-2-Geraghty type fuzzy mappings and complementary results

The aim of this paper is to introduce generalized F2-Geraghty type fuzzy mappings on a metric space for establishing the existence of fuzzy fixed points of such mappings. As an application of our result, we obtain the existence of common fuzzy fixed point for a generalized F2-Geraghty type fuzzy hybrid pair. These results unify, generalize and complement various known comparable results in the literature. An example and an application to theoretical computer science are presented to support the theory proved herein. Also, to suggest further research on fuzzy mappings, a Feng–Liu type theorem is proved.

Ppf dependent fixed point results for hybrid rational and Suzuki-Edelstein type contractions in Banach spaces

In this paper we introduce new notions of hybrid rational Geraghty and Suzuki-Edelstein type contractive mappings and investigate the existence and uniqueness of PPF dependent fixed point for such mappings in the Razumikhin class, where domain and range of the mappings are not the same. As an application of our PPF dependent fixed point results, we deduce corresponding PPF dependent coincidence point results in the Razumikhin class. Our results extend and improve the results of Sintunavarat and Kumam [J. Nonlinear Anal. Optim.: Theory Appl., Vol. 4, (2013), 157-162], Bernfeld, Lakshmikantham and Reddy [Applicable Anal., 6(1977), 271-280] and others. As an application of our results, we establish PPF dependent solution of a periodic boundary value problem.

Common Fixed Point of Semi-Weakly Compatible Maps on ∈-Chainable Intutionistic Fuzzy Metric Space

In this paper, we introduce the concept of semi weakly compatibility of maps on a ∈-chainable intuitionistic fuzzy metric space introduced by Manro et al. and established some results regarding common fixed point for such mappings in this newly defined space. Our results generalize the result of Kumar et al. Manro et al. and others.

Spherical nonspreadingness of resolvents of convex functions in geodesic spaces

In this paper, we propose the concepts of a spherically nonspreading mapping and a firmly spherically nonspreading mapping in a complete geodesic space with curvature bounded above by one and we prove that the resolvent of a proper lower semicontinuous convex function in that space is both well defined and firmly spherically nonspreading. We further discuss the existence and approximation of fixed points of such mappings and apply our results to convex optimization in geodesic spaces.

On monotone pointwise contractions in Banach spaces with a graph

In this work, we give a new definition of G-monotone pointwise contraction mappings in metric spaces endowed with a graph. Then we obtain sufficient conditions for the existence of a fixed point for such mappings. The proofs are based on the crucial inequality (GK).

On monotone pointwise contractions in Banach and metric spaces

In this work we define the new concept of monotone pointwise contraction mappings in Banach and metric spaces. Then we prove the existence of fixed points of such mappings.

Fixed points of conditionally F-contractions in complete metric-like spaces

AbstractIn this paper, we introduce the notion of a conditionally F-contraction in the setting of complete metric-like spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, and improve several results in the literature.