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In this paper, we discuss the fixed point property for an infinite family of order-preserving mappings which satisfy the Lipschitzian condition on comparable pairs. The underlying framework of our main results is a metric space of any…

泛函分析 · 数学 2018-11-29 Parin Chaipunya

In this paper, we present a new concept of interpolative contraction mappings in $C^{\ast}$-algebra valued complete metric space and we prove the existence of fixed points and common fixed points for Kannan-Riech type contractions.

泛函分析 · 数学 2024-10-08 Hafida Massit , Mohamed Rossafi , Choonkil Park

The main purpose of this work is to extend the properties of multivalued transformations to the integral type transformations and to obtain the existence of fixed points under F-contraction. In addition, the results of this study were…

综合数学 · 数学 2020-02-04 Derya Sekman , Vatan Karakaya

The aim of this paper is to prove a fixed point theorem on a generalised cone metric spaces for maps satisfying general contractive type conditions.

经典分析与常微分方程 · 数学 2016-10-04 Sudip Kumar Pal , Manojit Maity

Given a parameter dependent fixed point equation $x = F(x,u)$, we derive an abstract compactness principle for the fixed point map $u \mapsto x^*(u)$ under the assumptions that (i) the fixed point equation can be solved by the contraction…

泛函分析 · 数学 2022-08-05 Gunther Dirr

In this paper, we presented a new type of metric space called $(\alpha,\beta)$-metric space along with some novel contraction mappings named $(\alpha,\beta)$-contraction and weak $(\alpha,\beta)$-contraction mapping. We established some…

泛函分析 · 数学 2025-06-24 Irfan Ahmed , Shallu Sharma , Sahil Billawria

In this paper, we prove the existence of fixed points of mappings satisfying the condition (Da), a kind of generalized nonexpansive mappings, on a weakly compact convex subset in a Banach space satisfying Opial's condition. And we use…

泛函分析 · 数学 2020-07-07 Chang Il Rim , Jong Gyong Kim

In this paper, we study the fixed point theory for multi-valued mappings on partial cone metric spaces. We prove an analogous to the well-known Kannan$'s$ fixed point theorem and Chatterjea$'s$ fixed point theorem for multi-valued mappings…

泛函分析 · 数学 2022-09-21 T. L. Shateri , H. Isik

In this paper, we establish a common fixed point theorem for two pairs of occasionally weakly compatible single and set-valued maps satisfying a strict contractive condition in a metric space. Our result extends many results existing in the…

泛函分析 · 数学 2009-06-17 Hakima Bouhadjera , Christiane Godet-Thobie

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 article, we prove the existence of common fixed points for a pair of maps on a $q$-spherically complete $T_0$-ultra-quasi-metric space. The present article is a generalization, in the assymmetric setting of the paper of Rao et…

一般拓扑 · 数学 2014-12-04 Collins Amburo Agyingi , Yaé Ulrich Gaba

We obtain sufficient conditions for existence of unique fixed point of Kannan type mappings on complete metric spaces and on generalized complete metric spaces depended an another function.

泛函分析 · 数学 2009-03-10 S. Moradi

Some fixed point results of classical theory, such as Banach's Fixed Point Theorem, have been previously extended by other authors to asymmetric spaces in recent years. The aim of this paper is to extend to asymmetric spaces some others…

一般拓扑 · 数学 2023-05-17 L. Benítez-Babilonia , R. Felipe , L. Rubio

The main aim of this paper is to study of fixed point theory in partial cone metric spaces. Infact, some common fixed point theorems for two mappings in partial cone metric spaces are obtained.

泛函分析 · 数学 2022-08-16 Tayebe Lal Shateri

We propose the concepts of vicinal mappings and firmly vicinal mappings in metric spaces. We obtain fixed point and convergence theorems for these mappings in complete geodesic spaces with curvature bounded above by one and apply our…

泛函分析 · 数学 2018-05-01 Fumiaki Kohsaka

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

We establish the first common fixed point theorem for commutative set-valued mappings. This may help to generalize common fixed point theorems in single-valued setting to those in set-valued. We also prove the existence of a fixed point in…

泛函分析 · 数学 2018-01-08 Issa Mohamadi

We establish the existence of common fixed points for $C_q$-commuting self-mappings satisfying a generalized Gregus-type inequality with quadratic terms in $q$-starshaped subsets of normed linear spaces. Our framework extends classical…

综合数学 · 数学 2025-07-08 Babu G. V. R. , Alemayehu Negash , Meaza Bogale

We summarize recent progress in the understanding of fixed point resolution for conformal field theories. Fixed points in both coset conformal field theories and non-diagonal modular invariants which describe simple current extensions of…

高能物理 - 理论 · 物理学 2007-05-23 J. Fuchs , A. N. Schellekens , C. Schweigert

Fixed point results with respect to generalized rational contractive mappings in semi-metric spaces endowed with a directed graph are proved. Some examples are provided to illustrate the results. The obtained results extend, improve and…

一般拓扑 · 数学 2023-08-04 Talat Nazir , Zakaria Ali , Shahin Nosrat Jogan , Sergei Silvestrov