in this paper, we introduce a new concept of - -ϕ-contractive integral type mappings and establish some new xed point theorems in complete metric spaces.

In our recent paper we have established close relationships between state reduction of a fuzzy recognizer and resolution of a particular system of fuzzy relation equations. In that paper we have also studied reductions by means of those solutions which are fuzzy equivalences. In this paper we will see that in some cases better reductions can be obtained using the solutions of this system that a...

This paper aims to introduce the new concept of rational type fuzzy-contraction mappings in fuzzy metric spaces. We prove some fixed point results under conditions spaces with illustrative examples support our results. will play a very important role theory and can be generalized for different contractive context Moreover, we present an application nonlinear integral equation get existing resul...

The purpose of this paper is to establish a strong convergence of an explicit iteration scheme with mean errors to a common fixed point for a finite family of Ćirić quasi-contractive operators in normed spaces. The results presented in this paper generalize and improve the corresponding results of V.Berinde [1], A.Rafiq [9], B. E. Rhoades [10] and T. Zamfirescu [12].

We obtain strong convergence results for quasi-contractive operators in arbitrary Banach space via some recently introduced iterative schemes and also establish stablity theorems for Kirk’s iterative process. Our results generalize and extend some well-known results in the literature. 2000 Mathematics Subject Classification: 47H06, 47H10.

In this paper, we prove a fixed point result for a self-mapping on a G-metric space satisfying (ψ,φ)-weakly contractive conditions. Besides this, a non-trivial example is presented.

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In this paper, we investigate two iterative methods for k-strict pseudocontractive mappings in a real Hilbert space. We prove that the proposed iterative algorithms converge strongly to some fixed point of a strict pseudo-contractive mapping.

The purpose of this paper is to introduce a new class of quasi-contractive operators and to show that the most used fixed point iterative methods, that is, the Picard and Mann iterations, are convergent to the unique fixed point. The comparison of these methods with respect to their convergence rate is obtained.

The aim of this paper is to study L-fuzzy uniformizable spaces. A new kind of topological fuzzy remote neighborhood system is defined and used for investigating the relationship between L-fuzzy co-topology and L-fuzzy (quasi-)uniformity. It is showed that this fuzzy remote neighborhood system is different from that in [23] when U is an Lfuzzy quasi-uniformity and they will be coincident when U ...