Many authors have studied the local dynamics of holomorphic maps in C around a fixed point; see, for example, [4; 6] for an introduction to this field and known results. Most of the results are obtained under the assumption that the linear part of the map at the fixed point is diagonalizable. There are few results in the nondiagonalizable case. In [8], Coman and Dabija studied a special map wit...

The influence of fixed point theorems for contractive and nonexpansive mappings see 1, 2 on fixed point theory is so huge that there are many results dealing with fixed points of mappings satisfying various types of contractive and nonexpansive conditions. On the other hand, it is also huge that well-known Brouwer’s and Schauder’s fixed point theorems for set-contractive mappings exert an influ...

We propose a key-frame-based depth propagation method considering movement on the z-axis. First, a homography matrix is obtained through the feature points between points. Through this homography matrix information, a movement of objects or cameras is inferred in the direction of the z axis, thereby creating a depth map that compensates the movement. Then, bilateral filtering is executed to cre...

We provide fuzzy quasi-metric versions of a fixed point theorem ofGregori and Sapena for fuzzy contractive mappings in G-complete fuzzy metricspaces and apply the results to obtain fixed points for contractive mappingsin the domain of words.

If K is a discrete group and Z is a K-spectrum, then the homotopy fixed point spectrum Z is Map∗(EK+, Z) K , the fixed points of a familiar expression. Similarly, if G is a profinite group and X is a discrete G-spectrum, then X is often given by (HG,X), where HG,X is a certain explicit construction given by a homotopy limit in the category of discrete G-spectra. Thus, in each of two common equi...

Let p ≥ 3 be a prime and e ≥ 2 an integer. Denote σ(x) as a primitive polynomial of degree n over Z/pZ, and G as the set of primitive linear recurring sequences generated by σ(x). A map ψ on Z/pZ naturally induces a map ψ̂ on G, mapping a sequence (. . . , st−1, st, st+1, . . . ) to (. . . , ψ(st−1), ψ(st), ψ(st+1), . . . ). Previous results constructed special maps inducing injective maps on G....

Let p ≥ 3 be a prime and e ≥ 2 an integer. Denote σ(x) as a primitive polynomial of degree n over Z/pZ, and G as the set of primitive linear recurring sequences generated by σ(x). A map ψ on Z/pZ naturally induces a map ψ̂ on G, mapping a sequence (. . . , st−1, st, st+1, . . . ) to (. . . , ψ(st−1), ψ(st), ψ(st+1), . . . ). Previous results constructed special maps inducing injective maps on G....

In this paper, we focus on the application of the Peaceman-Rachford splitting method (PRSM) to a convex minimization model with linear constraints and a separable objective function. Compared to the Douglas-Rachford splitting method (DRSM), another splitting method from which the alternating direction method of multipliers originates, PRSM requires more restrictive assumptions to ensure its con...

In this paper, we consider double sequence iteration processes for strongly $rho$-contractive mapping in modular space. It is proved, these sequences, convergence strongly to a fixed point of the strongly $rho$-contractive mapping.