A positive point of using fixed point theory in K-normed space for Cauchy problem in a scale
of Banach spaces Page 1 © A positive point of using fixed point theory in K-normed space for …

In this paper, we study the generalization of (S, F)-rational contraction pair (h; 1) to almost (S,
F, Г)-rational contraction pair (h, g) of integral type on metric spaces. Further, we use the new …

The aim of this paper is to study the coupled fixed point of a class of mixed monotone
operators in the setting of a subordinate semimetric space. Using the symmetry between the …

In this chapter, after a very brief introduction, we will focus our attention on the study of the
coupled fixed point and coupled coincidence point problems for single‐and multi‐valued …

In this paper we consider a pair of nonlinear matrix equations of the form X= Q1+(Y∗ XY) r1,
Y= Q2+(X∗ YX) r2, where Q1, Q2 are n× n Hermitian positive definite matrices, r1, r2∈ R …

We study the initial-boundary vaule problem of the long and short wave equations posed on
the half line with initial datas (u 0, n 0)∈ H s 0 (R+)× H s 1 (R+) and boundary datas (h, f)∈ …

In this paper, we introduce the notion of diagonal operator, we present the historical roots of
diagonal operators and we give some fixed point theorems for this class of operators. Our …

In this paper we solve nonlinear matrix equations of the form X δ= Q+∑ i= 1 p (A i⁎ F i (X) A
i) ri and X δ= Q+∑ i= 1 p (A i⁎ F i (X) A i) r i+∑ j= 1 q (B j⁎ G j (X) B j) qj, where δ∈(−∞ …

In this article, we study coupled fixed point theorems in newly appeared JS-metric spaces. It
is important to note that the class of JS-metric spaces includes standard metric space …

In this paper, we will develop a new method to study coupled fixed points of a mapping T: X×
X→ X, where (X, d) is a special class of b-metric spaces endowed with a graph. We will …