Contractive Mappings Of Integral Type Research Articles

Common Fixed Point Theorems for Contractive Mappings of Integral Type in $$b$$-Metric Spaces

Common Fixed Point Theorems for Contractive Mappings of Integral Type in $$b$$-Metric Spaces

Fixed Point Results for (α-βk,ϕ-ψ) Integral Type Contraction Mappings in Fuzzy Metrics

In this paper, we introduce the notion of a modified \((\alpha\)-\(\beta_k,\phi\)-\(\psi)\) integral type contraction mappings in fuzzy metric spaces. We study and prove the existence and uniqueness of fixed points theorems in generalized fuzzy contractive mappings of integral type in fuzzy metric spaces. Our main result generalizes the fuzzy Banach contraction theorem and we validate our results by some suitable examples which reveal that our results are proper generalization and modification of some researchers' integral contraction works.

Fixed Points for Contractive Mappings of Integral Type Involving ω -Distance and Applications

In this paper, we use ω -distance to prove the existence, uniqueness, and iterative approximations of fixed points for a few contractive mappings of integral type in complete metric spaces. The proved results are used to investigate the solvability of certain nonlinear integral equations. Four examples are given.

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.

Fixed point theorems of integral contraction type mappings in fuzzy metric space

In this paper, we show an existence and uniqueness of fixed point for contractive mappings of integral type using altering distance functions in fuzzy metric spaces. Moreover, we give examples to support our results. Our results generalize corresponding results given in the literature.

Some fixed point theorems for contractive mappings of integral type

Some fixed point theorems for contractive mappings of integral type

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

Fixed Points Results forα-Admissible Mapping of Integral Type on Generalized Metric Spaces

We introduce generalized(α,ψ)-contractive mappings of integral type in the context of generalized metric spaces. The results of this paper generalize and improve several results on the topic in literature.

Common Fixed Points for Two Contractive Mappings of Integral Type in Metric Spaces

In this paper, we obtain unique common fixed point theorems for two mappings satisfying the variable coefficient linear contraction of integral type and the implicit contraction of integral type respectively in metric spaces.

Fixed points of generalized contractive mappings of integral type

The aim of this paper is to introduce classes of α-admissible generalized contractive type mappings of integral type and to discuss the existence of fixed points for these mappings in complete metric spaces. Our results improve and generalize fixed point results in the literature. MSC:46T99, 54H25, 47H10, 54E50.

Existence and approximations of fixed points for contractive mappings of integral type

Abstract The existence, uniqueness, and iterative approximations of fixed points for four classes of contractive mappings of integral type in complete metric spaces are established. The results presented in this paper generalize indeed several results of Branciari (J. Math. Math. Sci. 29(9):531-536, 2002), Rhoades (Int. J. Math. Math. Sci. 2003(63):4007-4013, 2003) and Liu et al. (Fixed Point Theory Appl. 2011:64, 2011). Four illustrative examples with uncountably many points are also included. MSC:54H25.

Fixed point theorems of contractive mappings of integral type

Abstract Three fixed point theorems for three general classes of contractive mappings of integral type in complete metric spaces are proved. Three examples are included. MSC:54H25.

Fixed point theorems for mappings satisfying contractive conditions of integral type

Abstract Two results involving the existence, uniqueness and iterative approximations of fixed points for two contractive mappings of integral type are proved in complete metric spaces. Two nontrivial examples are included. MSC:54H25.

Fixed point theorems for mappings satisfying contractive conditions of integral type and applications

AbstractIn this paper, the existence, uniqueness and iterative approximations of fixed points for contractive mappings of integral type in complete metric spaces are established. As applications, the existence, uniqueness and iterative approximations of solutions for a class of functional equations arising in dynamic programming are discussed. The results presented in this paper extend and improve essentially the results of Branciari (A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci. 29, 531-536, 2002), Kannan (Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76, 1968) and several known results. Four concrete examples involving the contractive mappings of integral type with uncountably many points are constructed.2010 Mathematics Subject Classfication: 54H25, 47H10, 49L20, 49L99, 90C39