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相关论文: Unified multi-tupled fixed point theorems involvin…

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In this paper, we introduce a generalized notion of monotone property and prove some results regarding existence and uniqueness of multi-tupled fixed points for nonlinear contraction mappings satisfying monotone property in ordered complete…

泛函分析 · 数学 2016-10-04 Aftab Alam , Mohammad Imdad , Stojan Radenovic

In this paper we extend the coupled fixed point theorems for mixed monotone operators $F:X \times X \rightarrow X$ obtained in [T.G. Bhaskar, V. Lakshmikantham, \textit{Fixed point theorems in partially ordered metric spaces and…

泛函分析 · 数学 2011-03-29 Vasile Berinde

In this paper we extend the coupled fixed point theorems for mixed monotone operators $F:X \times X \rightarrow X$ obtained in [T.G. Bhaskar, V. Lakshmikantham, \textit{Fixed point theorems in partially ordered metric spaces and…

泛函分析 · 数学 2011-03-29 Vasile Berinde

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 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 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

We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This notion and the obtained…

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

In this work, we define the concept of mixed $G$-monotone mappings defined on a metric space endowed with a graph. Then we obtain sufficient conditions for the existence of coupled fixed points for such mappings when a weak contractivity…

泛函分析 · 数学 2018-01-24 M. R. Alfuraidan , M. A. Khamsi

We establish a coupled fixed points theorem for a meaningful class of mixed monotone multivalued operators and then we use it to derive some results on existence of quasisolutions and solutions to first--order functional differential…

经典分析与常微分方程 · 数学 2011-04-13 Rubén Figueroa , Rodrigo López Pouso

We establish coupled fixed point theorems for contraction involving rational expressions in partially ordered metric spaces.

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

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

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 prove some common coupled fixed point theorems for mappings satisfying different contractive conditions in the context of complete $C^*$-algebra-valued metric spaces. Moreover, the paper provides an application to prove…

算子代数 · 数学 2020-10-06 Tianqing Cao , Qiaoling Xin

In this paper, we introduce a new type of coupled fixed point theorem in partially ordered complete metric space. We give an example to support of our result.

一般拓扑 · 数学 2017-03-31 Isa Yildirim

This article presents a deep investigation of fixed points for multivalued weak contractions in cone metric spaces. We extend Berinde weak contraction principles to the multivalued setting in cone metric spaces, developing existence,…

泛函分析 · 数学 2025-08-13 Elvin Rada

In this paper, we present a variant of Boyd-Wong fixed point theorem in a metric space equipped with a locally T-transitive binary relation, which under universal relation reduces to Boyd-Wong (Proc. Amer. Math. Soc. 20 (1969) 458-464) and…

一般拓扑 · 数学 2016-03-03 Aftab Alam , Mohammad Imdad

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

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 introduce FG- coupled fixed point, which is a generalization of coupled fixed point for nonlinear mappings in partially ordered complete metric spaces. We discuss existence and uniqueness theorems of FG- coupled fixed…

一般拓扑 · 数学 2016-10-04 Prajisha Eacha , Shaini Pulickakunnel

We study the fixed point problem for a system of multivariate operators that are coordinate-wise monotone (i.e., nondecreasing or nonincreasing in each of the variables, independently), in the setting of quasi-ordered sets. We show that…

一般拓扑 · 数学 2012-09-03 Mircea-Dan Rus
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