in this paper, the notion of cyclic $varphi$-contraction in fuzzymetric spaces is introduced and a fixed point theorem for this typeof mapping is established. meantime, an example is provided toillustrate this theorem. the main result shows that a self-mappingon a g-complete fuzzy metric space has a unique fixed point if itsatisfies the cyclic $varphi$-contraction. afterwards, some results inco...

The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on $varepsilon$-connected orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point for analytic function of one complex variable. The paper concludes with some i...

‎In this work‎, ‎we investigate admitting center map on multiplicative metric space‎ ‎and establish some fixed point theorems for such maps‎. ‎We modify the Banach contraction principle and‎ ‎the Caristi's fixed point theorem for M-contraction admitting center maps and we prove some‎ ‎useful theorems‎. ‎Our results on multiplicative metric space improve and modify‎ ‎s...

generalized geraghty type fuzzy mappings oncomplete metric spaces are introduced and a fixed point theorem thatgeneralizes some recent comparable results for fuzzy mappings incontemporary literature is obtained. example is provided to show thevalidity of obtained results over comparable classical results for fuzzymappings in fixed point theory. as an application, existence of coincidencefuzzy p...

We investigate the positive solution of nonlinear fractional differential equation with semi-positive nonlinearity { D 0+u(t) + f(t, u(t)) = 0, 0 < t < 1, u(0) = u′(1) = u′′(0) = 0 where 2 < α ≤ 3 is a real number, D 0+ is the Caputo’s differentiation, and f : [0, 1] × [0,∞) → (−∞,∞). By use of Krasnosel’skii fixed point theorem, the existence results of positive solution are obtained.

If A is a nonsingular matrix such that its inverse is a stochastic matrix, the classic Brouwer fixed point theorem implies that the matrix equation AXA = XAX has a nontrivial solution. An explicit expression of this nontrivial solution is found via the mean ergodic theorem, and fixed point iteration is considered to find a nontrivial solution.

Using the fixed point theorem in partially ordered sets, we obtain sufficient conditions for existence of a unique positive solution to boundary-value problem Sturm-Liouville type nonlinear ordinary differential equation, and give an example illustrating results obtained.

Abstract: In this paper, by using fixed point theorem, the problem of existence of the nonoscillatory solution for a class of neutral delay difference equations with both positive and negative coefficients has been investigated. Under the assumption of third order, a sufficient condition is proposed for the existence of the nonoscillatory solution. Further studies on the underlying problem have...

in this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the fr´echet spaces. our aim is to provide a few generalization of tychonoff fixed point theorem and prove the existence of solutions for infinite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of tych...

We determine eigenvalue intervals of λ1 and λ2 for the existence of at least one positive solution for a coupled system of Riemann–Liouville type multi-point fractional order boundary value problems by utilizing a fixed point theorem on a cone under suitable conditions.