Contractive Condition Of Integral Type Research Articles

Common Fixed Point Theorems for Weakly Compatible Mapping by (CLR) Property in Dislocated Metric Spaces

In this paper, we employ the concepts of commutativity, weak compatibility and common limit in the range (CLR) property to derive some common fixed point theorems for six mappings satisfying integral type contractive conditions in complete dislocated metric spaces. Our findings improve and extends some previous results found in the literature. 2010 Mathematical Sciences Classification: 54H25, 47H10

Fixed-point theorems of {F}^{star}- ( psi,phi ) integral-type contractive conditions on 1_{E}-complete multiplicative partial cone metric spaces over Banach algebras and applications

In this paper, we introduce some user-friendly versions of integral-type fixed-point results and give some modifications of the classical Banach contraction principle by constructing a special type of contractive restrictions of integral forms for weak contraction mappings defined on 1_{E}-complete multiplicative partial cone metric spaces over Banach algebras and formulate some existence and uniqueness results regarding the fixed-point theorems using some integrative conditions. Moreover, we validate the significance our results and exploit them to find the unique solution of a fractional nonlinear differential equation of Caputo type, which complements some previously well-known generalizations found in the literature.

Integral Type Contraction in Dislocated Metric Spaces

In this paper, by using the notion of compatibility, weak compatibility, occasionally weak compatibility and commutativity, we establish some common fixed point theorems for six mappings satisfying integral type contractive conditions in complete dislocated metric spaces. Our work improves and extends some earlier results in the literature.

Meir–Keeler Type Contraction in Orthogonal M-Metric Spaces

In this article, we prove fixed point results for a Meir–Keeler type contraction due to orthogonal M-metric spaces. The results of the paper improve and extend some recent developments in fixed point theory. The extension is assured by the concluding remarks and followed by the main theorem. Finally, an application of the main theorem is established in proving theorems for some integral equations and integral-type contractive conditions.

Coupled Fixed Points Theorem for Mappings Satisfying a Contractive Condition of Integral Type in Cauchy Spaces

The contractive-type coupled fixed point theory is a generalization of Banach contraction theory. This research analyze the existence and uniqueness of mappings defined on Cauchy metric spaces via coupled fixed point theorem which satisfies a contractive inequality of integral-type. Furthermore, it generalizes contractive inequality of integral-type of fixed point to coupled fixed point theorem as an improvement to available research in literature. Some illustrative examples to back up our claims are included.

Some fixed point results and their applications on integral type contractive condition in fuzzy metric spaces

The role of Fuzzy topology in logic programming and algorithm has been recognized and applied on various programs to and more accurate result. In particular, topological methods are employed in order to obtain fixed point semantics for logic programs. In this paper, we prove some fixed point theorems in fuzzy metric spaces. As an application, some consequence theorems are given in support of our result.

A common fixed point theorem for four weakly compatible self maps of a S-metric space using (CLR) property

In this paper, by employing a contractive condition of integral type, we obtain a unique common fixed point for four weakly compatible self maps of a S-metric space which satisfy common limit range property.

A Fixed Point Theorem Satisfying Integral Type Contraction in Revised Fuzzy Metric Space

In this paper, we analyze the existence of fixed points for mappings defined on a complete revised fuzzy metric space satisfying a contractive condition of integral type.

Common fixed point results using an integral type contractive condition on S-metric spaces

Common fixed point results using an integral type contractive condition on S-metric spaces

Common fixed point theorem for four self maps using an integral type contractive condition in a S-metric space

Common fixed point theorem for four self maps using an integral type contractive condition in a S-metric space

Some Fixed Point Results for Two Pairs of Mappings on Integral and Rational Settings

In 2000, P. Hitzler and A.K. Seda (Hitzeler & Seda 2000) obtained a very important generalization of topology which they named as dislocated topology. The corresponding generalized notion of metric obtained from dislocated topology was named as dislocated metric.The fixed point theorem for a single map satisfying contractive condition of integral type with a summable Lebesgue integrable mapping in complete metric space was first time estabished by Branciari (Branciari 2002) in the year 2002. B. E. Rhoades (Rhoades 2003) further extended the theorem of Branciari (Branciari 2002) with a most general contractive condition. Extensions and generalizations for rational and integral type mapping in various spaces can be seen in the literature of fixed point theory. This article establishes some common fixed point results satisfying integral and rational type contractive conditions with common limit range property for two pairs of maps in dislocated metric space. We have established common fixed point result in dislocated metric space with compatible and reciprocal continuity of mappings.

A unique common fixed point for a family of set-valued mappings

Abstract The main purpose of this paper is to establish some common fixed point theorems for single and set-valued mappings, under strict contractive conditions with no continuity, no completeness, no inclusions and without using neither compactness nor closeness. These theorems improve the results of Fisher [8], Ahmed [1] and [2], and others. Also, common fixed point theorems for two hybrid pairs satisfying a contractive condition of integral type are given improving the results of [3], [4] and [6].

Random fixed point under contractive condition of integral type

In this paper, we establish random fixed point theorems for random contractive condition of integral type in complete metric space under RX–contraction. Also we prove common random fixed point theorems using random operator satisfying random conditions of integral type and RX.

Generalized common fixed point theorems for mappings satisfying contractive condition of integral type with D-complete topological spaces

Generalized common fixed point theorems for mappings satisfying contractive condition of integral type with D-complete topological spaces

Common Fixed Point Theorems of Quadruple Mappings Satisfying \(CLR\) Property in \(G_p\) Metric Spaces With Applications

The aim of this paper is to establish common fixed point theorems for quadruple of weakly compatible mappings satisfying a new type of common limit range property and involving almost altering distances in \(G_p\) metric space. Furthermore, we present an example to validate our main result. Further, we obtain some common fixed point theorems for mappings satisfying contractive conditions of integral type and for \(\varphi\)-contractive mappings.

Common fixed points under contractive conditions of integral type

Abstract In this paper, we give some common fixed point theorems for a class of occasionally weakly compatible mappings satisfying contractive conditions of integral type. Our results generalize a host of previously theorems. We also present some illustrative examples which support our main results and show the applicability and validity of these results.

A General Fixed Point Theorem for Two Pairs of Absorbing Mappings in Gp -Metric Spaces

Abstract A general fixed point theorem for two pairs of absorbing mappings satisfying a new type of implicit relation ([37]), without weak compatibility in Gp -metric spaces is proved. As applications, new results for mappings satisfying contractive conditions of integral type and for ϕ-contractive mappings are obtained.

Some Fixed Point Theorems For Mappings Satisfying Contractive Conditions Of Integral Type

In this paper, we establish some common fixed-point theorems for two pairs of weakly compatible mappings satisfying integral type contractive conditions integral type in dislocated metric spaces by using E.A. which improves and extends similar known results in the literature. 2010 AMS Mathematics Subject Classification: 54H25, 47H10

Fixed point theorems in generalized intuitionistic fuzzy metric spaces using contractive condition of integral type

Fixed point theorems in generalized intuitionistic fuzzy metric spaces using contractive condition of integral type

Fixed Point Theorems for Two Pairs of Mappings Satisfying a New Type of Common Limit Range Property in Gp Metric Spaces

Abstract The purpose of this paper is to prove a general fixed point theorem for mappings involving almost altering distances and satisfying a new type of common limit range property in Gpmetric spaces. In the last part of the paper, some fixed point results for mappings satisfying contractive conditions of integral type and for ⱷ-contractive mappings are obtained.