Point Theorems For Self-mappings Research Articles

Solving System of Linear Equations Using Common Fixed Point Theorems in Bicomplex Valued Metric Spaces

The aim of the present research article is to solve the system of linear equations using common fixed point theorems in the context of bicomplex valued metric spaces. To obtain our main objective, we introduce generalized contractive conditions in bicomplex valued metric spaces and establish common fixed point theorems for self mappings. We also give a significant example to demonstrate the legitimacy of the given theorems.

Some Results for Ćirić–Prešić Type Contractions in F-Metric Spaces

In this study, first, we introduce Ćirić–Prešić type contraction in F-metric spaces and prove a fixed point theorem for self mappings. We apply the fixed point results for a second-order differential equation. Therefore, we define Prešić type almost contraction and F-contraction, and we prove some fixed point theorems. In the last section, we prove the best proximity point theorems for Ćirić–Prešić type proximal contraction in F-metric spaces. Our results generalize the existing results in the literature.

Fixed point theorems for self mappings in generalized metric spaces

In this paper a fixed point theorem in D- metric space using contractive type mappings is discussed. This work is an extension of the result obtained in [2].

Fixed Point Theorems in Partial 2-Metric Spaces

In this paper we aim to introduce the concept of partial 2-metric spaces and study some fixed point theorems for self mappings defined on partial 2-metric spaces.

Coincidence of Fixed Points with Mixed Monotone Property

The purpose of this paper is to introduce and prove some coupled coincidence fixed point theorems for self mappings satisfying -contractive condition with rational expressions on complete partially ordered metric spaces involving altering distance functions with mixed monotone property of the mapping. Our results improve and unify a multitude of coupled fixed point theorems and generalize some recent results in partially ordered metric space. An example is given to show the validity of our main result.

SOME COMMON FIXED POINT THEOR MS FOR EXPANSIVE MAPPINGS IN d-COMPLETE TOPOLOGICAL SPACES

In the present paper, we entrenched common fixed point theorems for self mappings satisfying expansive condition in d-complete topological spaces. Also we prove a fixed point theorem for $(\zeta,\alpha)$-expansive mapping in the setting of d-complete topological spaces. Our results extend and generalize the results of Shahi et al. to d-complete topological spaces.

Common fixed point theorems in \(\mathscr{L}\)-fuzzy metric space

In this paper, we prove some common fixed point theorems for self mappings in complete \(\mathscr{L}\) - fuzzy metric space which is introduced by Saadati, Razani and Adibi.

Fixed point theorems for self and non-self F-contractions in metric spaces endowed with a graph

The main results obtained in this paper are fixed point theorems for self and non-self GF-contractions on metric spaces endowed with a graph. Our new results are generalization of recently fixed point theorems for self mappings on metric spaces and also fixed point theorems for non-self mappings in Banach spaces by using the concept of new type of contractive mappings namely F-contractions.

Best proximity points for ψ-proximal multi-functions

Best proximity point theorems for self-mappings and multi-functions were investigated with different conditions on spaces and the contractions of mappings. In this paper, we will prove best proximity point theorems for some generalized multi-functions that we call [Formula: see text]-proximal multi-functions, which are of two types, [Formula: see text]-proximal multi-functions of the first and second kind.

Common fixed point theorems for self-mappings in Menger PM-spaces with nonlinear contractive condition

The purpose of this paper is to prove some common fixed point theorems for a pair of self-mappings defined on Menger PM-spaces with nonlinear contractive condition in the sense of Fang (Fuzzy Set Syst 267:86–99, 2015). Following Pant and Pant (Filomat (31)(11):3495–3499, 2017), we define semi R-commutativity for a pair of self-mappings for Menger PM-spaces. Using this notion and the notion of orbital continuity introduced by Ciric (Publ Inst Math (12)(26):19–26, 1971), we obtain the main results. These results generalize some known results. Some examples and comments according to the preceding results are given.

Fixed point theorems for nonself Bianchini type contractions in Banach spaces endowed with a graph

In this paper we present an extension of fixed point theorem for self mappings on metric spaces endowed with a graph and which satisfies a Bianchini contraction condition. We establish conditions which ensure the existence of fixed point for a non-self Bianchini contractions T : K ⊂ X → X that satisfy Rothe’s boundary condition T (∂K) ⊂ K.

English

English

Fixed point theorems for nonself Kannan type contractions in Banach spaces endowed with a graph

Let K be a non-empty closed subset of a Banach space X endowed with a graph G. The main result of this paper is a fixed point theorem for nonself Kannan G-contractions T : K → X that satisfy Rothe’s boundary condition, i.e., T maps ∂K (the boundary of K) into K. Our new results are extensions of recent fixed point theorems for self mappings on metric spaces endowed with a partial order and also of various fixed point theorems for self and nonself mappings on Banach spaces or convex metric spaces.

English

English

Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Space Using Compatible Mappings of Type (K)

In this paper, we introduce the notion of compatible mappings of type (K) in intuitionistic fuzzy metric space and obtain a common fixed point theorem for self mappings on complete intuitionistic fuzzy metric space with example. Our result generalizes and improves other similar results in literature.

Unique common fixed point theorems on partial metric spaces

We prove the existence of the unique common fixed point theorems for self mappings which are weakly compatible satisfying some contractive conditions on partial metric spaces. Furthermore, we also prove the result on the continuity in the set of common fixed points for self mappings on partial metric spaces.

Some common fixed point theorems for self mappings in vector metric spaces

In this paper, we prove some theorems about common fixed point for two self mappings satisfying some general contractive conditions in vector metric spaces. Presented results are generalizations of the some well-known recent fixed point theorems.

JH-Operators and Occasionally Weakly g-Biased Pairs in Fuzzy Symmetric Spaces

We introduce the notions of $\mathcal{JH}$-operators and occasionally weakly $g$-biased mappings in fuzzy symmetric spaces to prove common fixed point theorems for self-mappings satisfying a generalized mixed contractive condition. We also prove analogous results for two pairs of $\mathcal{JH}$-operators by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement many results existing in the recent literature. We give also an application of our results to product spaces.

Fixed Point Theorems For Self Mappings In Fuzzy Metric Space

Fixed Point Theorems For Self Mappings In Fuzzy Metric Space

Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations

We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations.