جستجوی مقالات مرتبط با کلیدواژه "coupled fixed point" در نشریات گروه "ریاضی"

In this paper, we prove some coupled fixed point theorems for nonlinear contraction type mappings in complete complex valued metric spaces endowed with partial order. We support our results by establishing an illustrative example. Also we give an application of this results to the solution of the Urysohn type integral equations.

In this paper, we present a new generalization of Nadler's fixed point theorem for multivalued relation-theoretic graph contractions on relational metric spaces. Our results extend and generalize the result of Shukla and Rodriguez-Lopez (Questiones Mathematiae, (2019) 1-16), Nadler (Pacific J. Math. 30 (1969), 475-488), Alam and Imdad (J. Fixed Point Theory and Appl., 17(4) (2015), 693-702) and many others in the existing literature of fixed point theory. Some illustrative examples are also provided to illustrate the usefulness of our main results. Moreover, we have an application to generalized coupled fixed point problems.

In this present work, we prove coupled coincident point theorem for contractive mappings F:X×X⟶X and g:X⟶X such that F(X×X)⊆g(X) in metric spaces that have a nonempty F- invariant and g-invariant complete subset and we prove uniqueness coupled coincidence, then we prove coupled fixed point theorem for contractive mapping F in metric spaces that have a nonempty F- invariant complete subset. Finally, we give an example in this case. Through there are thousands of fixed point theorems in metric space, our theorems is a new type of theorems. because we prove unique coupled fixed point are in F- invariant complete subspace.

‎We propose to investigate the solutions of system of functional-integral‎ ‎equations in the setting of measure of noncompactness on real-valued bounded and continuous Banach space‎. To achieve this‎, ‎we first establish some new Darbo type fixed and coupled fixed point results for‎ $mu$-set $(omega,vartheta)$-contraction operator‎ ‎using arbitrary measure of noncompactness in Banach spaces‎. An example is given in support for the solutions of a pair of system of functional-integral‎ equations‎.

We propose a new notion of contraction mappings for two class of functions involving measure of noncompactness in Banach space and derive some basic Darbo type fixed and coupled fixed point results. This work includes and extends the results of Falset and Latrach[ Falset, J. G., Latrach, K. : On Darbo-Sadovskii's fixed point theorems type for abstract measures of (weak) noncompactness, Bull. Belg. Math. Soc. Simon Stevin 22 (2015), 797-812.] The results are also correlated with the classical generalized Banach fixed point theorems. Also we show the applicability of obtained results to the Volterra integral equations in Banach algebras.

In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive result on the Nadler contraction theorem for multivalued mappings in this space. In the following, by expressing pseudo-Banach-type pairs of mappings, we study the conditions for the existence of a unique coupled strong fixed point in these mappings. Pseudo-Chatterjae mapping $F:X times Xto X$ satisfies in [dleft( F(x, y), F(u, v) right) leq k max left{ dleft( x, F(u, v)right), dleft( F(x, y), uright) right}, ] where $x, v in A$, $y, u in B$ and $0 < k < frac{1}{2}$. Also, We define some quasi-Banach and Pseudo-Chatterjae contraction inequalities. In addition, we will prove theorems about coupled fixed points. Finally, several examples are presented to understand the our results.

In this paper, we establish the existence of common coupled fixed point results for new Caristi type contraction of three covariant mappings in Bipolar metric spaces. Some interesting consequences of our results are achieved. Moreover, we give an illustration which presents the applicability of the achieved results.The formula is not displayed correctly!

The main purpose of the paper is to extend some results of the coupled fixed point theorems, based on some previous works [15, 16], by using C-class functions. First part of the paper is related to some fixed point theorems, the second part presents the uniqueness and existence for the solution of the coupled fixed point problem and in the third part we discuss data dependence, well-posedness, Ulam-Hyers stability and limit shadowing property of the coupled fixed point set.