Point Theorems For Contractive Mappings Research Articles

Generalized Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings

In this paper we shall acquaint with generalized cone metric spaces, contractive mappings will be considered and prove some classical fixed point theorems with the help of generalized cone metric space.

Generalized cone metric spaces and fixed point theorems of contractive mappings

In this paper we shall acquaint with generalized cone metric spaces, contractive mappings will be considered and prove some classical fixed point theorems with the help of generalized cone metric space.

C- class function on fixed point theorems for contractive mappings of integral type in n-Banach spaces

In this paper, we present some common fixed point theorems for class of mappings satisfying contractive condition of integral type in n-Banach spaces via C-Class function. Our results are version of some known results.

Some common fixed point theorems for contractive maps and applications

The aim of this paper is to obtain some new fixed point theorems for single valued mappings and also for hybrid pair of mappings. Our results extend and generalize well known results due to Aamri and El Moutawakil, Sintunavarat and Kumam, Kadelburg et al., and Kamran; and also generalize and rectify some recent results due to Bisht [On Existence of common fixed points under Lipschitz-Type Mapping pairs with Applications, Numer. Func. Anal. Optim. 38(11), 2017, 1446-1457].

Cone S-Metric Space and Fixed Point Theorems of Contractive Mappings

Cone S-Metric Space and Fixed Point Theorems of Contractive Mappings

A Fixed Point Theorem for Contractive Mappings with Nonlinear Combinations of Rational Expressions in b-Metric Spaces

AbstractIn this paper we discuss the existence and uniqueness of fixed points for mappings satisfying several (nonlinear-combinations) contractive inequalities of rational type controlled by altering distance functions. Our results extend several fixed point results in the literature.

Some fixed point theorems for contractive mappings of integral type

Some fixed point theorems for contractive mappings of integral type

Fixed point theorems for contractive mappings and Ciric-Maiti-Pal orbit mappings of contractive type in re-defined generalized metric spaces

Fixed point theorems for contractive mappings and Ciric-Maiti-Pal orbit mappings of contractive type in re-defined generalized metric spaces

On fixed point theorems for contractive mappings of integral type with w-distance

Three fixed point theorems formappings satisfying contractive inequalities of integral type with w-distance in complete metric spaces are proved. Three examples are included. The results presented in this paper extend substantially some known results

Coupled fixed point theorems for contractive mappings involving new function classes and applications

The aim of this paper is to introduce the notions of ?-(F,H)-(?,?) and ?-(F,H)-(?,?) contractions and present several coupled fixed point theorems for this type of contractions in the set of ordered metric spaces. Several examples are offered to illustrate the validity of the obtained results. As an application, the existence of a solution of Fredholm nonlinear integral equations are also investigated.

Common fixed point theorems for contractive mappings satisfying Φ-maps in S-metric spaces

Abstract In this paper we prove the existence of the unique fixed point for the pair of weakly compatible self-mappings satisfying some Ф-type contractive conditions in the framework of S-metric spaces. Our results generalize, extend, unify, complement and enrich recently fixed point results in existing literature.

Some extensions of the Meir-Keeler theorem

AbstractMeir and Keeler formulated their fixed point theorem for contractive mappings with purely metric condition. This idea was extended by numerous mathematicians. In this paper, we present a simple method of proving such theorems and give new results.

Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations

In this paper, we introduce the concept of partial cone b-metric spaces as a generalization of partial metric, cone metric and b-metric spaces and establish some topological properties of partial cone b-metric spaces. Moreover, we also prove some common fixed point theorems for cyclic contractive mappings in such spaces. Our results generalize and extend the main results of Huang and Zhang [Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332:1468–1476, 2007], Stanić et al. [Common fixed point under contractive condition of Ćirić's type on cone metric type spaces, Fixed Point Theory Appl., 2012:35, 2012] and Latif et al. [Fixed point results for generalized (α,ψ)‐Meir–Keeler contractive mappings and applications, J. Inequal. Appl., 2014:68, 2014]. Some examples and an application are given to support the usability of the obtained results.

Cone metric spaces and fixed point theorems of contractive mappings

In this paper we introduce cone metric spaces, prove some fixed point theorems of contractive mappings on cone metric spaces. In this paper, we replace the real numbers by ordering Banach space and define cone metric spaces (X, d ). We discuss some properties of convergence of sequences. We prove some fixed point theorems for contractive mappings. Our results generalized some fixed point theorems in metric spaces.

English

the purpose of this paper is to establish some common fixed point theorems for contraction mappings. The results presented in the paper generalize and extend the result of Shailesh Patel and Mitesh Patel (8) and D.Panthi, K.Jha and G.Purru(10).

Some fixed point theorems for contractive maps in N-cone metric spaces

In present paper, we prove unique fixed point theorems for contractive maps in \(N\)-cone metric spaces. Our results extend and generalize some well-known results of (Banach, Fund Math 3:133–181 1992; Chatterjee, Rend Acad Bulgare Sci 25:727–730 1972; Kannan, Bull Calcutta Math Soc 60:71–76 1968; Rezapour and Hamlbarani, J Math Anal Appl 345:719–724 2008) in the setting of \(N\)-cone metric spaces.

Fixed Point Theorems for Nonself Contraction Mappings in N-Normed Spaces

The fixed point theorems of contraction mappings in n−normed spaces was studied. ( M. Kir and H. Kiziltunc, On Fixed Point Theorems For Contraction Mappings in n-Normed Spaces, (AMISL) ). By the same motivation, we will derive some fixed point theorems for nonself contraction mappings in n-Banach spaces which we stated in the present paper.

Tripled and coincidence fixed point theorems for contractive mappings satisfying Φ-maps in partially ordered metric spaces

Abstract In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and ɡ : X → X satisfying a nonlinear contraction based on ϕ-maps. Our results extend and improve many existing results in the literature. Also, we introduce an example to support the validity of our results.

Perov type results in gauge spaces and their applications to integral systems on semi-axis

Abstract In this paper we present Perov type fixed point theorems for contractive mappings in Gheorghiu’s sense on spaces endowed with a family of vector-valued pseudo-metrics. Applications to systems of integral equations are given to illustrate the theory. The examples also prove the advantage of using vector-alued pseudo-metrics and matrices that are convergent to zero, for the study of systems of equations.

Algebraic cone metric spaces and fixed point theorems of contractive mappings

In this paper we introduce algebraic cone metric spaces, prove some fixed point theorems of contractive mappings on algebraic cone metric spaces, and improve some well-known results in the non-normal case.