Existence Of Coincidence Points Research Articles

Existence of coincidence points for Feng-Liu type multivalued contractions with a singlevalued mapping

In this paper we establish coincidence point results for multivalued Feng-Liu type contractions with a singlevalued mapping. There is a supporting example. Several other existing results are contained in our theorems.

О точках совпадения отображений в обобщенных метрических пространствах

Abstract. Let 𝑋 be a space with ∞-metric 𝜌 (a metric with possibly infinite value) and 𝑌 a space with ∞-distance 𝑑 satisfying the identity axiom. We consider the problem of coincidence point for mappings 𝐹,𝐺:𝑋→𝑌, i.e. the problem of existence of a solution for the equation 𝐹(𝑥)=𝐺(𝑥). We provide conditions of the existence of coincidence points in terms of a covering set for the mapping 𝐹 and a Lipschitz set for the mapping 𝐺 in the space 𝑋×𝑌. An 𝛼-covering set (𝛼>0) of the mapping 𝐹 is a set of (𝑥,𝑦) such that ∃𝑢∈𝑋 𝐹(𝑢)=𝑦, 𝜌(𝑥,𝑢)≤𝛼−1𝑑(𝐹(𝑥),𝑦), 𝜌(𝑥,𝑢)<∞, and a 𝛽 - Lipschitz set (𝛽≥0) for the mapping 𝐺 is a set of (𝑥,𝑦) such that ∀𝑢∈𝑋 𝐺(𝑢)=𝑦⇒𝑑(𝑦,𝐺(𝑥))≤𝛽𝜌(𝑢,𝑥). The new results are compared with the known theorems about coincidence points.

Some coincidence point results in the product space for solutions of the fuzzy of ordinary differential equations and integral equations systems

In this work, we will introduce the new classes of product spaces and also establish the existence of coincidence points in quasi-ordered fuzzy metric spaces. In order to investigate the integral equations and ordinary differential equations is solutions of the systems. Also study the property of mixed-monotone and comparable property of quasi-ordered fuzzy metric spaces in the product space. Our theorems improve and cover the corresponding recent results announced by Wu (2014) and Roldan et al. (2014).

Some conditions implying the existence of coincidence points of a pair of intuitionistic fuzzy mappings

In this article, two novel conditions implying the existence of a pair of intuitionistic fuzzy mappings with an integral type contractive conditions are discussed. An example validating the main result is given. As an application of our result, an existence theorem of solution for a class of nonlinear Volterra equation of the first type is established. This way, the work extends a few existing results in the literature.

Some existence of coincidence point and approximate solution method for generalizedweak contraction in b-generalized pseudodistance fiunctionsy

The purpose of this article is to prove some coincidence point and approximate solution method for generalized weak contraction mapping in b??metric spaces by using the concept of b-generalized pseudodistance. Also, we give some examples to illustrate our main results.

On the existence of solutions of nonlinear equations

Nonlinear equations in Banach spaces are considered. Solvability conditions are obtained for them. These results are a generalization of the Hadamard diffeomorphism theorem. Additionally, conditions for the existence of coincidence points of two mappings acting on metric spaces are obtained.

A Common Fixed Point Result in Cone Metric Spaces

In this paper, we study the existence of coincidence points and common fixed point theorem for three self - mappings in cone metric spaces and relaxing the completeness of the space. This result extends and improves the results of M. Abbas and B. E. Rhoades [M. Abbas and B. E. Rhoades, Fixed and periodic point results in cone metric spaces, Appl. Math. Lett., 22(2009) 511-515] who proved fixed point theorems for two self-mappings without assuming commutativity conditions in cone metric spaces and using the completeness of the space.

Existence of coincidence point for weakly increasing mappings satisfies (ψ, φ)-weakly contractive condition in partially ordered metric spaces

Nashine and Samet 2011 showed some common fixed point theorems for two mappings satisfying ψ, φ weakly contractive condition in an ordered complete metric space. Further, this result was extended by Shatanawi and Samet 2011 to three mappings S, T and R satisfying weakly contractive condition in partially ordered metric spaces in which S, T were assumed to be weakly increasing with respect to R. In the present paper, we define weakly increasing mapping for four self maps and then implant it to prove the coincidence point theorem satisfying a generalised contractive principle.

SOME COMMON FIXED POINT THEOREMS FOR FOUR MAPS IN CONE METRIC SPACES

The purpose of this paper is to prove existence of coincidence points and a common fixed point theorems for four maps in cone metric spaces. AMS Subject Classification: 47H10, 54H25

Some common fixed point results for noncommuting mappings in fuzzy cone metric spaces

Abstract The existence of coincidence point and common fixed point for noncommuting mappings satisfying certain contractive condition in fuzzy cone metric space is established and result is justified by a counter example. By using this result, some common fixed point theorems are also established for generalize contractive conditions.

F-Contractive multivalued maps and coincidence points

In this paper, we prove a result on the existence of an f -orbit for generalized f -contractive multivalued maps. Then, we establish main results on the existence of coincidence points and common fixed points for generalized f -contractive maps not involving the extended Hausdorff metric and the continuity condition. Our results either generalize or improve a number of metric fixed point results. MSC: 47H10; 47H09; 54H25

Coincidence and common fixed point theorems for a sequence of mappings in ordered metric spaces

In this article, the existence of coincidence points and common fixed points for a sequence of mappings satisfying generalized weakly contractive conditions which involves altering distance functions, without exploiting the notion of continuity of any map involved therein, in a ordered metric space is proved. An example is given to support the usability of our results.

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.

Common fixed points for almost Presic type operators

The existence of coincidence points and common fixed points for almost Presic operators in a metric space setting is proved. A multi-step iterative method for constructing the common fixed points is also provided.

Approximation of common fixed points of weakly compatible pairs using the Jungck iteration

We show that the Jungck iteration scheme can be used to approximate the common fixed points of some weakly compatible pairs of generalized quasicontractive operators defined on metric spaces. The existence of coincidence points are also discussed for those pair of maps. The results are generalizations of well known results of the convergence of Picard iterations for single self maps of Banach spaces. In particular, the results improve, generalize and extend the recent results of Berinde [V. Berinde, A common fixed point theorem for compatible quasi contractive self mappings in metric spaces, Applied Mathematics and Computation 213 (2009) 348–354] and answers the open question posed in the paper.

Common fixed point theorems for four mappings in TVS-Valued cone metric spaces

The existence of coincidence points and common fixed points for four mappings satis- fying generalized contractive conditions without exploiting the notion of continuity of any map involved therein, in a TVS-valued cone metric space is proved. These results extend, unify and generalize several well known comparable results in the existing literature.

Common fixed points for four maps in cone metric spaces

The existence of coincidence points and common fixed points for four mappings satisfying generalized contractive conditions without exploiting the notion of continuity of any map involved therein, in a cone metric space is proved. These results extend, unify and generalize several well known comparable results in the existing literature.

Common fixed point results for noncommuting mappings without continuity in cone metric spaces

The existence of coincidence points and common fixed points for mappings satisfying certain contractive conditions, without appealing to continuity, in a cone metric space is established. These results generalize several well-known comparable results in the literature.

Minimax theorems in probabilistic metric spaces

In this paper, new minimax theorems for mixed lower-upper semicontinuous functions in probabilistic metric spaces are given. As applications, we utilise these results to show the existence of solutions of abstract variational inequalities, implicit variational inequalities and saddle point problems, and the existence of coincidence points in probabilistic metric spaces.