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In this survey, at first we review to many examples which have been made on cone metric spaces to verify some properties of cones on real Banach spaces and cone metrics and second, in continue like as examples that sandwich theorem doesn't…

泛函分析 · 数学 2012-05-31 Mehdi Asadi , Hossein Soleimani

In this article, we prove some fixed point theorems in metric type spaces. This article is just a generalization some results previously proved in \cite{niyi-gaba}. In particular, we give some coupled common fixed points theorems under weak…

一般拓扑 · 数学 2015-05-12 Yaé Ulrich Gaba

In this paper, we discuss the existence and uniqueness of fixed points for Banach and Kannan $\widetilde G$-$\rho$-contractions defined on modular spaces endowed with a graph without using the $\Delta_2$-condition or the Fatou property.

经典分析与常微分方程 · 数学 2013-04-26 Aris Aghanians , Kourosh Nourouzi

We introduce a weak asymptotic version of nonlinear contraction, termed \emph{asymptotic pointwise contraction}. For a mapping on a metric space, this notion requires the existence of a sequence of functions that dominate the distances…

泛函分析 · 数学 2026-04-15 Jie Shi

Some fixed point results are given for a class of functional contractions over partial metric spaces. These extend some contributions in the area due to Ilic et al [Math. Comput. Modelling, 55 (2012), 801-809].

一般拓扑 · 数学 2012-03-27 Mihai Turinici

The aim of this paper is to present some fixed point theorems for generalized contractions by altering distance functions in a complete cone metric spaces endowed with a partial order. We also generalize fixed point theorems of J. Harjani,…

泛函分析 · 数学 2012-05-31 Mehdi Asadi , Hossein Soleimani

In the present work we shall show that nonlinear contractive conditions on TVS-cone metric spaces can be reduced to nonlinear contractive conditions on usual metric spaces. Our results extend the results of Du (2010) [W.S. Du, A note on…

泛函分析 · 数学 2012-03-05 Ion Olaru

In this paper, we discuss recent results about generalized metric spaces and fixed point theory. We introduce the notion of $\eta$-cone metric spaces, give some topological properties and prove some fixed point theorems for contractive type…

一般拓扑 · 数学 2017-09-25 Yaé Ulrich Gaba

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, dislocated metric space, b-metric space etc. The purpose…

综合数学 · 数学 2016-06-21 Tanusri Senapati , Lakshmi Kanta Dey

This study focuses on defining normal and strictly convex structures within Menger cone PM-space. It also presents a shared fixed point theorem for the existence of two self-mappings constructed on a strictly convex probabilistic cone…

泛函分析 · 数学 2024-09-25 M. H. M. Rashid

Very recently, Berinde and P\u{a}curar obtained in [V. Berinde and M. P\u{a}curar, Approximating fixed points of enriched contractions in Banach spaces. Journal of Fixed Point Theory and Applications. \textbf{22}(2) (2020), 1--10.] an…

经典分析与常微分方程 · 数学 2022-09-27 Rizwan Anjum , Mujahid Abbas

In this paper we introduce and study new classes of mappings in metric spaces. The main class of mappings is called generalized orbital triangular contractions and it generalizes some existing results (such as Banach contractions, mappings…

一般拓扑 · 数学 2024-04-25 Cristina Maria Pacurar , Ovidiu Popescu

In this paper we give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.

一般拓扑 · 数学 2016-10-05 Hassen Aydi

We propose a general approach to defining a contractive-like multivalued mappings $F$ which avoids any use of the Hausdorff distance between the sets $F(x)$ and $F(y)$. Various fixed point theorems are proved under a two-parameter control…

一般拓扑 · 数学 2012-03-09 Dušan Repovš

We introduce two new classes of single-valued contractions of polynomial type defined on a metric space. For the first one, called the class of polynomial contractions, we establish two fixed point theorems. Namely, we first consider the…

一般拓扑 · 数学 2025-05-27 Mohamed Jleli , Cristina Maria Pacurar , Bessem Samet

In this paper, we investigate the existence and uniqueness of fixed points for self-mappings defined on bipolar metric spaces using a new class of contractive conditions, namely polynomial-type contractions. Our main results establish…

In this paper, we discuss the existence of fixed points for integral type contractions in uniform spaces endowed with both a graph and an $E$-distance. We also give two sufficient conditions under which the fixed point is unique. Our main…

一般拓扑 · 数学 2013-06-03 Aris Aghanians , Kourosh Nourouzi

In this paper we consider partial metric spaces in the sense of O'Neill. We introduce the notions of strong partial metric spaces and Cauchy functions. We prove a fixed point theorem for such spaces and functions that improves Matthews'…

一般拓扑 · 数学 2015-08-18 Samer Assaf , Koushik Pal

Two open problems in the fixed point theory of quasi metric spaces posed in [Berinde, V. and Choban, M. M., {\it Generalized distances and their associate metrics. Impact on fixed point theory}, Creat. Math. Inform. {\bf 22} (2013), no. 1,…

综合数学 · 数学 2017-01-04 Mitrofan M. Choban , Vasile Berinde

In this paper, we study main properties of cone normed spaces, and prove some theorems of weighted means in cone normed spaces.

泛函分析 · 数学 2010-06-29 Ayse Sonmez , Huseyin Cakalli