the aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. our result is generalize and extends the corresponding result of jhade et al. [p.k. jhade, a.s. saluja and r. kushwah, coincidence and fixed points of ...

in this paper we classify fuzzy subgroups of a rank-3 abelian group $g = mathbb{z}_{p^n} + mathbb{z}_p + mathbb{z}_p$ for any fixed prime $p$ and any positive integer $n$, using a natural equivalence relation given in cite{mur:01}. we present and prove explicit polynomial formulae for the number of (i) subgroups, (ii) maximal chains of subgroups, (iii) distinct fuzzy subgroups, (iv) non-isomorp...

and Applied Analysis 3 or the modified Mann iterative sequence method xn 1 QG ( 1 − αn xn αnT ΠGT xn ) , n 1, 2, . . . , x1 ∈ G, 1.6 where QG : B → G is a sunny nonexpansive retraction. So, in some ways, our results extend and improve some results of other authors such as, see 1–5, 7, 9–13 , from self mappings to non-self-mappings, from Hilbert spaces to Banach spaces. 2. Preliminaries In the s...

In this paper we present a Petri-net-based approach to consider anticipated faults in real-time distributed systems. The proposed approach is based on Fuzzy Time G-Nets which is the integration of two Petri Nets extensions: Fuzzy Time Petri Net (timing Petri net extension) and G-Nets (Petri net extended with object oriented concepts). We also show that Fuzzy Time G-Nets can be used to represent...

In this paper, we study the iterations of quasi $phi$-nonexpansive mappings and its applications in Banach spaces. At the first, we prove strong convergence of the sequence generated by the hybrid proximal point method to a common fixed point of a family of quasi $phi$-nonexpansive mappings.  Then, we give  applications of our main results in equilibrium problems.

We introduce the concept of interval-valued fuzzy congruences on a semigroup S and we obtain some important results: First, for any interval-valued fuzzy congruence R on a group G, the interval-valued congruence class Re is an interval-valued fuzzy normal subgroup of G. Second, for any interval-valued fuzzy congruence R on a groupoid S, we show that a binary operation ∗ an S/R is well-defined a...

In this paper we present a Petri-net-based approach to consider fault tolerance aspects in a modiied control track vehicle system. The proposed approach is based on Fuzzy Time G-Nets which is the integration of two Petri Nets extensions: Fuzzy Time Petri Net (timing Petri net extension) and G-Nets (Petri net extended with object oriented concepts). We also show how to model such system by means...

The chromatic sum of a graph G, ∑ (G), is introduced in the dissertation of Kubicka [3]. It is defined as the smallest possible total over all vertices that can occur among all colorings of G using natural numbers for the colors. It is known that computing the chromatic sum of an arbitrary graph is an NP-complete problem. The vertex-strength of the graph G, denoted by s(G), is the smallest inte...

and Applied Analysis 3 xn ⇀ x ∈ X and ‖xn‖ → ‖x‖, then xn → x. It is known that if X is uniformly convex, then X has the Kadec-Klee property. The normalized duality mapping J from X to X∗ is defined by Jx { x∗ ∈ X∗ : 〈x, x∗〉 ‖x‖ ‖x∗‖2 } 2.3 for any x ∈ X. We list some properties of mapping J as follows. i If X is a smooth Banach space with Gâteaux differential norm , then J is singlevalued and ...

Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Aim of this article is to find the maximum and minimum solution of the fuzzy neutrosophic soft relational equations xA=b and Ax=b, where x and b are fuzzy neutrosophic soft vector and A is a fuzzy neutrosophic soft matrix. Wheneve...