Unique Common Fixed Point Theorem Research Articles

Unique Common Fixed Point Theorems for Pairs of Hybrid Maps under a New Condition in Partial Metric Spaces

Abstract In this paper, we introduce a new condition namely, ‘condition (W.C.C)’ and obtain two unique common fixed point theorems for pairs of hybrid mappings on a partial Hausdorff metric space without using any continuity and commutativity of the mappings.

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.

A Suzuki type unique common fixed point theorem for hybrid pairs of maps under a new condition in partial metric spaces

Abstract In this paper, we introduce a new condition namely, the (W.C.C) condition and give some Suzuki-type, unique, common fixed-point theorems for pairs of hybrid mappings in partial metric spaces using a partial Hausdorff metric. These results generalize and extend the several comparable results in this literature in metric and partial metric spaces.

FIXED POINT THEOREMS FOR III, s-III TYPE EXPANSION MAPPINGS ON CMTS

The purpose of this paper is to establish fixed point theorem for a Ⅲ type expansion mapping on CMTS,then to introduce the concept of s-Ⅲ type expansion mappings and to obtain the unique common fixed point theorem for an s-Ⅲ type expansion mapping and a corresponding mapping,and to give a unique fixed point result for an s-Ⅲ type expansion mapping.The results generalize and improve some corresponding conclusions in references.

A Unique Common Fixed Point Theorem in Cone Metric Type Spaces

In this paper, we have given a unique common fixed point theorem for four mappings in a cone metric type space which is a slight variant of theorems of (1, 10). We also gave an example to illustrate our main theo- rem. Finally we have given an example in which theorem of (10) is not applicable whereas our corollary is applicable.

A Unique Common Fixed Point Theorem of Meir-Keeler Type in a Partial Metric Space

In this paper, we obtain a unique common fixed point theorem for four self mappings satisfying Meir-Keeler type contractive condition in partial metric spaces, which is slightly different from the result of Aydi and Karapinar [5].

A Unique Common Fixed Point Theorem Using ψ − ϕ Condition in a Partial Metric Space Using an ICS Mapping

The ICS mapping was introduced by K.P.Chi (On a xed point theorem for certain class of maps satisfying a contractive condition depended on an another function, Lobachevskii J. math., 30(4), 2009, 289 - 291.) In this paper, we obtain a unique common xed point theorem in partial metric spaces by using ICS mapping and also introduced supported example to our main theorem.

A Unique Common Fixed Point Theorem for Four Maps Under $\psi-\phi$ Contractive Condition in Ordered Partial Metric Spaces

A Unique Common Fixed Point Theorem for Four Maps Under $\psi-\phi$ Contractive Condition in Ordered Partial Metric Spaces

An Improvement of a Known Unique Common Fixed Point Result for Four Mappings on 2-Metric Spaces

In this paper, we introduce a new class Γ, which is weak than a known class Ψ, of real continuous functions defined on [0, +∞), and use another method to prove the known unique common fixed point theorem for four mappings with γ-contractive condition instead of Ψ-contractive condition on 2-metric spaces.

Common fixed point theorems in modular G-metric spaces

The purpose of this paper is to prove the existence of the unique common fixed point theorems of a pair of weakly compatible mappings satisfying $\Phi$-maps in modular G-metric spaces.

A unique common fixed point theorem for four maps under contractive conditions in cone metric spaces

In this paper, we prove existence of coincidence points and a common fixed point theorem for four maps under contractive conditions in cone metric spaces for non continuous mappings and relaxation of completeness in the space. These results extend and improve several well known comparable results in the existing literature. AMS Subject Classification: 47H10, 54H25. Keywords: Cone metric space; Common fixed point; Coincidence point.

Four Mappings Satisfying Ψ-Contractive Type Condition and Having Unique Common Fixed Point on 2-Metric Spaces

In this paper, we introduce a class Ψ of real functions defined on the set of non-negative real numbers, and obtain a new unique common fixed point theorem for four mappings satisfying Ψ-contractive condition on a non-complete 2-metric space and give the versions of the corresponding result for two and three mappings.

A Unique Common Fixed Point Theorem For Three Mappings In G Cone Metric Spaces

A Unique Common Fixed Point Theorem For Three Mappings In G Cone Metric Spaces

Uniqueness of Common Fixed Points for a Family of Mappings with <i>Φ</i>-Contractive Condition in 2-Metric Spaces

In this paper, we will introduce a class of 5-dimensional functions Φ and prove that a family of self-mappings {Ti,j} ieN in 2-metric space have an unique common fixed point if 1) {Ti,j} ieN satisfies Φj-contractive condition, where ΦjeΦ, for each jeN ; 2) Tm,μ n,v for all m,n,μ,veN with μ ≠ v . Our main result generalizes and unifies many known unique common fixed point theorems in 2-metric spaces.

Common fixed point theorems for contractive mappings satisfying $\Phi$-maps in G-metric spaces

We prove the existence of the unique common fixed point theorems of a pair of weakly compatible mappings satisfying $\Phi$-maps in $G$-metric spaces. These results generalize the well-known results in the literature.

A unique common fixed point theorem for six maps in g-metric spaces

A unique common fixed point theorem for six maps in g-metric spaces

A Unique Common Fixed Point Theorem for Four Maps With Asymptotic Regularity Condition in Cone Metric Spaces

In this paper, we obtain a unique common fixed point theorem for four self maps with asymptotic regularity condition and satisfying Ciric type weak contractive condition in cone metric spaces. Our result generalizes and improves some recent results in cone metric spaces.

Some Fixed Point Theorems in \(D^{*}\)-Cone Metric Spaces

In this paper we obtain a unique common fixed point theorem for two pairs of weakly compatible mappings in \(D^{*}\)-cone metric spaces.

A Common Fixed Point Theorem for a Family of Mappings in Non-Archimedean Menger PM-Spaces

In the present paper we prove a unique common fixed point theorem for a family of weakly compatible self maps in non-Archimedean Menger PM-spaces without using the notion of continuity. Our result generalizes and extends some well known previous results.

A Unique Common Fixed Point Theorem for Eight Maps in a Metric Space

A Unique Common Fixed Point Theorem for Eight Maps in a Metric Space