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In this paper, we study the existence of fixed points for mappings defined on complete, (sequentially compact) cone metric spaces, satisfying a general contractive inequality depending of two additional mappings.

泛函分析 · 数学 2015-02-17 José R. Morales , Edixon Rojas

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

In this paper we establish some common fixed point theorem for a new class of pair of contractions mappings, called $\psi-(\alpha,\beta, m)$-contraction pairs, which we will assume occasionally weakly compatible and satisfying the property…

泛函分析 · 数学 2013-07-17 J. R. Morales , E. M. Rojas

In this paper we introduce a corrected extension of Burton's theory of large contractions in the context of triangle-perimeter contractions introduced by Petrov. Combining these two lines of research, we prove a fixed point result for large…

动力系统 · 数学 2026-05-14 Ovidiu Popescu

In this paper, we introduce the notion of partially ordered {\epsilon}-chainable metric spaces and we derive new coupled fixed point theorems for uniformly locally contractive mappings on such spaces.

一般拓扑 · 数学 2010-05-19 Bessem Samet , Habib Yazidi

In this paper we introduce generalized symmetric Meir-Keeler contractions and prove some coupled fixed point theorems for mixed monotone operators $F:X \times X \rightarrow X$ in partially ordered metric spaces. The obtained results extend,…

泛函分析 · 数学 2011-03-29 Vasile Berinde

In this paper we present some fixed-figure theorems as a geometric approach to the fixed-point theory when the number of fixed points of a self-mapping is more than one. To do this, we modify the Jleli-Samet type contraction and define new…

度量几何 · 数学 2021-08-19 Hülya Atyimur , Nihal Taş

We investigate the infrared fixed point structure in asymptotically free and asymptotically non-free theory. We find that the ratios of couplings converge strongly to their infrared fixed points in the asymptotically non-free theory.

高能物理 - 唯象学 · 物理学 2009-10-30 Masako Bando , Joe Sato , Koichi Yoshioka

Instantons play a crucial role in understanding non-perturbative dynamics in quantum field theories, including those with spontaneously broken gauge symmetries. In the broken phase, finite-size instanton-like configurations are no longer…

高能物理 - 理论 · 物理学 2026-04-06 Takafumi Aoki , Masahiro Ibe , Satoshi Shirai

We focus on the new type perturbed metric spaces and introduce a contraction mapping namely new type perturbed Kannan mappings. For these mappings, we show that Banach's fixed point theorem holds. Moreover, this new generalization of…

综合数学 · 数学 2025-05-30 Bekir Danış

In this paper, we establish some common fixed point results for a new class of pair of contractions mappings having functions as contractive parameters, and satisfying certain commutative properties.

泛函分析 · 数学 2015-02-17 J. R. Morales , E. M. Rojas

In the present paper, a new type of mappings called perimetric contractions on $k$-polygons is introduced. These contractions can be viewed as a generalization of mappings that contracts perimeters of triangles. A fixed point theorem for…

一般拓扑 · 数学 2024-10-29 Mi Zhou , Evgeniy Petrov

We discuss some results concerning fixed point equations in the setting of topological *-algebras of unbounded operators. In particular, an existence result is obtained for what we have called {\em weak $\tau$ strict contractions}, and some…

数学物理 · 物理学 2007-05-23 F. Bagarello

In this present article, we get sufficient conditions for the existence and uniqueness of fixed points and common fixed points for single and double mapping satisfying various contractive conditions within the partially ordered…

综合数学 · 数学 2017-05-29 Meltem Kaya , Hasan Furkan

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

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

Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators. In this paper we do a thorough study of fixed point theory and the asymptotic…

泛函分析 · 数学 2012-11-26 David Ariza-Ruiz , Laurentiu Leustean , Genaro Lopez-Acedo

We establish three major fixed-point theorems for functions satisfying an odd power type contractive condition in G-metric spaces. We first consider the case of a single mapping, followed by that of a triplet of mappings and we conclude by…

一般拓扑 · 数学 2017-09-25 Yaé Ulrich Gaba , Collins Amburo Agyingi

Startpoints (resp. endpoints) can be defined as "oriented fixed points". They arise naturally in the study of fixed for multi-valued maps defined on quasi-metric spaces. In this article, we give a new result in the startpoint theory for…

一般拓扑 · 数学 2018-04-02 Collins Amburo Agyingi , Yaé Ulrich Gaba

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