中文
相关论文

相关论文: A new type of coupled fixed point theorem in parti…

200 篇论文

We introduce a new class of abstract structures, which we call generalized ultrametric semilattices, and in which the meet operation of the semilattice coexists with a generalized distance function in a tightly coordinated way. We prove a…

计算机科学中的逻辑 · 计算机科学 2013-09-05 Eleftherios Matsikoudis , Edward A. Lee

The Ran-Reurings fixed point theorem [Proc. Amer. Math. Soc., 132 (2004), 1435-1443] is but a particular case of Maia's [Rend. Sem. Mat. Univ. Padova, 40 (1968), 139-143]. A "functional" version of this last result is then provided, in a…

一般拓扑 · 数学 2011-06-28 Mihai Turinici

We establish a fixed point theorem for mappings of square matrices of all sizes which respect the matrix sizes and direct sums of matrices. The conclusions are stronger if such a mapping also respects matrix similarities, i.e., is a…

泛函分析 · 数学 2012-10-22 Gulnara Abduvalieva , Dmitry S. Kaliuzhnyi-Verbovetskyi

Banach's fixed point theorem in linear n-normed space is being developed. Also, we present several theorems on fixed points in linear n-normed space.

度量几何 · 数学 2022-10-17 Prasenjit Ghosh , T. K. Samanta

The aim of this paper is to generalize some fixed point theorems in the class of convex contraction of order $m$ on a complete suprametric space. Then, we will prove that the class of convex contraction of order m is strong enough to…

综合数学 · 数学 2026-05-11 Nicola Fabiano , Sedigheh Barootkoob , Hossein Lakzian

The goal of this paper is to establish a general fixed point theorem for compact single-valued continuous mapping in Hausdorff p-vector spaces, and the fixed point theorem for upper semicontinuous set-valued mappings in Hausdorff locally…

泛函分析 · 数学 2023-04-13 George Xianzhi Yuan

We introduce a new class of asymptotic contractions that employs two quasi-metrics defined directly in terms of the underlying mapping. The contraction condition compares these two quantities via a sequence of bounding functions that…

泛函分析 · 数学 2026-04-20 Jie Shi

All product fixed point results in ordered metric spaces based on linear contractive conditions are but a vectorial form of the fixed point statement due to Nieto and Rodriguez-Lopez [Order, 22 (2005), 223-239], under the lines in Matkowski…

一般拓扑 · 数学 2011-10-17 Mihai Turinici

In this paper, we give some further comments to the counterexample and the results of R.~K. Bisht in [R.~K. Bisht. \newblock {Comment on: A new fixed point theorem in the fractal space}. \newblock {\em Indag. Math. (N.S.)}, 29(2):819--823,…

泛函分析 · 数学 2019-11-05 Nguyen Van Dung , Wutiphol Sintunavarat

Our main theorem is an extension of the well-known Mizoguchi-Takahaashi's fixed point theorem [N. Mizogochi and W. Takahashi, Fixed point theorems for multi-valued mappings on complete metric space, {\it J. Math. Anal. Appl.} 141 (1989)…

度量几何 · 数学 2010-01-08 M. Eshaghi Gordji , H. Baghani , M. Ramezani , H. Khodaei

We established a fixed-point theorem for mapping satisfying a general contractive inequality of integral type depended an another function. This theorem substantially extend the theorem due to Branciari (2003) and Rhoades (2003)

泛函分析 · 数学 2009-03-10 S. Moradi

We develop a fixed-point extension of quantitative equational logic and give semantics in one-bounded complete quantitative algebras. Unlike previous related work about fixed-points in metric spaces, we are working with the notion of…

计算机科学中的逻辑 · 计算机科学 2021-07-01 Radu Mardare , Prakash Panangaden , Gordon Plotkin

We present a study on strong t-continuity and measure of discontinuity on PN spaces. As an application, we prove a fixed point theorem for a self mapping on PN spaces by means of measure of discontinuity.

泛函分析 · 数学 2007-06-12 Mohd Rafi

In this paper, we obtain coupled fixed point theorem for (\psi, \phi)-contractions under some generalized conditions on the real valued functions \psi and \phi defined on (0,\infinity). Also, we present a generalized version of coupled…

泛函分析 · 数学 2026-02-05 Athul P , D. Ramesh Kumar

This paper introduce a new class of operators and contraction mapping for a cyclical map T on G-metric spaces and the approximately fixed point properties. Also,we prove two general lemmas regarding approximate fixed Point of cyclical…

动力系统 · 数学 2020-06-29 S. A. M. Mohsenialhosseini

A general fixed point theorem for isometries in terms of metric functionals is proved under the assumption of the existence of a conical bicombing. It is new even for isometries of Banach spaces as well as for non-locally compact…

泛函分析 · 数学 2023-01-19 Anders Karlsson

The purpose of this paper is to obtain sufficient conditions for the existence of a unique fixed point of T-Kannan type mappings on complete cone metric spaces depended on another function.

泛函分析 · 数学 2009-10-26 José R. Morales , Edixon Rojas

In this paper we introduce an interlacing condition on the elements of a family of operators that allows us to gather together a number of results on fixed points and common fixed points for single and families of mappings defined on metric…

泛函分析 · 数学 2022-12-29 Rafael Espínola , Maria Japón , Daniel Souza

We consider bounded 2-metric spaces satisfying an additional axiom, and show that a contractive mapping has either a fixed point or a fixed line.

度量几何 · 数学 2011-04-08 Abdelkrim Aliouche , Carlos T. Simpson

In this paper, we are concerned with the study of the existence of fixed points for single and multi-valued three-points contractions. Namely, we first introduce a new class of single-valued mappings defined on a metric space equipped with…

一般拓扑 · 数学 2025-02-28 Mohamed Jleli , Evgeniy Petrov , Bessem Samet