Fixed point theorems for two pairs of mappings satisfying a new type of common limit range property in G_p metric spaces

Journal Title: Annales Mathematicae Silesianae - Year 2018, Vol 32, Issue

Abstract

The purpose of this paper is to prove a general fixed point theorem for mappings involving almost altering distances and satisfying a new type of common limit range property in $G_p$ metric spaces. In the last part of the paper, some fixed point results for mappings satisfying contractive conditions of integral type and for $φ$-contractive mappings are obtained.

Authors and Affiliations

Valeriu Popa, Alina-Mihaela Patriciu

Keywords

Related Articles

Inequalities of Lipschitz type for power series in Banach algebras

Let $f(z) = \sum_{n=0}^{\infty}\alpha_n z^n$ be a function defined by power series with complex coefficients and convergent on the open disk $D(0,R) \subset \mathbb{C}$, $R > 0$. For any $x, y \in \mathcal{B}$, a Banach...

Invariant means on Banach spaces

In this paper we study some generalization of invariant means on Banach spaces. We give some sufficient condition for the existence of the invariant mean and some examples where we have not it.

Alienation of the Jensen, Cauchy and d’Alembert equations

Let $(S,+)$ be a commutative semigroup, $\sigma : S \to S$ be an endomorphism with $\sigma^2 = id$ and let $K$ be a field of characteristic different from 2. Inspired by the problem of strong alienation of the Jensen eq...

Mixed type of additive and quintic functional equations

In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form $$f(3x + y) - 5f(2x + y) + f(2x - y) + 10f(x + y) - 5f(x - y...

Solutions and stability of generalized Kannappan’s and Van Vleck’s functional equations

We study the solutions of the integral Kannappan’s and Van Vleck’s functional equations $$∫_{S}f(xyt)dμ(t) +∫_{S}f(xσ(y)t)dμ(t) = 2f(x)f(y), x,y∈S;$$ $$∫_{S}f(xσ(y)t)dμ(t)−∫_{S}f(xyt)dμ(t) = 2f(x)f(y), x,y∈S,$$ where $...

Download PDF file
  • EP ID EP524998
  • DOI 10.2478/amsil-2018-0002
  • Views 149
  • Downloads 0

How To Cite

Valeriu Popa, Alina-Mihaela Patriciu (2018). Fixed point theorems for two pairs of mappings satisfying a new type of common limit range property in G_p metric spaces. Annales Mathematicae Silesianae, 32(), 295-312. https://europub.co.uk/articles/-A-524998