In this paper, we establish a common fixed point theorem in fuzzy 2-metric spaces using reciprocal continuity concept. In addition, our result proves that in the context of reciprocal continuity, the notion of compatibility and semi-compatibility of maps becomes equivalent.

These notes provide a brief introduction to the theory of noncooperative differential games. After the Introduction, Section 2 reviews the theory of static games. Different concepts of solution are discussed, including Pareto optima, Nash and Stackelberg equilibria, and the co-co (cooperative-competitive) solutions. Section 3 introduces the basic framework of differential games for two players....

this paper presents some results concerning the existence of solutions for a functional integral equation of volterra type in two variables, via measure of noncompactness. two examples are included to illustrate the main result.

We consider the well-posedness of a model for a flow-structure interaction. This model describes the dynamics of an elastic flexible plate with clamped boundary conditions immersed in a supersonic flow. A perturbed wave equation describes the flow potential. The plate’s out-of-plane displacement can be modeled by various nonlinear plate equations (including von Karman and Berger). Supersonic re...

We consider space-time methods for time-periodic problems and discuss well-posedness of the variational formulation as well as the use of Reduced Basis Methods (RBM) in a parameterized setting. We propose a possible discretization enforcing periodic boundary conditions in time and provide lower bounds for the space-time inf-sup constant. Rigorous RBM space-time a-posteriori error bounds for sta...

in this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regularasymptotically nonexpansive mappings in a real reflexive banach space with a uniformly g$hat{a}$teaux differentiable norm. our result is applicable in $l_{p}(ell_{p})$ spaces,$1 < p

begin{abstract} in this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of hilbert spaces. we prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. the results present...