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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…

General Topology · Mathematics 2025-02-28 Mohamed Jleli , Evgeniy Petrov , Bessem Samet

Using the setting of ordered metric spaces, we obtain common end point of two multivalued mappings satisfying a generalized $(\psi,\varphi)$-weak contractive condition. Under comparative condition on the set of end points of multivalued…

Metric Geometry · Mathematics 2023-05-17 Talat Nazir , Sergei Silvestrov

In this note, we discuss some fixed point theorems for contractive self mappings defined on a $G$-metric spaces. More precisely, we give fised point theorems for mappings with a contractive iterate at a point.

General Topology · Mathematics 2017-02-24 Yaé Olatoundji Gaba

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…

Functional Analysis · Mathematics 2009-06-17 Hakima Bouhadjera , Christiane Godet-Thobie

In this paper, we study the existence of fixed points for mappings defined on complete metric space (X, d) satisfying a general contractive inequality of integral type depended on another function. This conditions is analogous of Banach…

Functional Analysis · Mathematics 2009-03-10 S. Moradi , A. Beiranvand

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…

General Topology · Mathematics 2013-06-03 Aris Aghanians , Kourosh Nourouzi

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)

Functional Analysis · Mathematics 2009-03-10 S. Moradi

In this article, we discuss fixed point results for $(\varepsilon,\lambda)$-uniformly locally contractive self mapping defined on $\varepsilon$-chainable $G$-metric type spaces. In particular, we show that under some more general…

General Topology · Mathematics 2017-02-24 Yaé Olatoundji Gaba

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.

Functional Analysis · Mathematics 2024-10-08 Hafida Massit , Mohamed Rossafi , Choonkil Park

We introduce and study a new type of mappings in metric spaces termed $n$-point Kannan-type mappings. A fixed-point theorem is proved for these mappings. In general case such mappings are discontinuous in the domain but necessarily…

General Topology · Mathematics 2025-04-22 Ravindra K. Bisht , Evgeniy Petrov

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…

General Mathematics · Mathematics 2017-01-04 Mitrofan M. Choban , Vasile Berinde

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.

Metric Geometry · Mathematics 2011-04-08 Abdelkrim Aliouche , Carlos T. Simpson

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].

General Topology · Mathematics 2012-03-27 Mihai Turinici

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…

Functional Analysis · Mathematics 2018-01-08 Issa Mohamadi

The major motives of this paper are to study different types of contractive mappings and also to answer an open question of Garai et al. [The contractive principle for mappings in $b_v(s)$-metric spaces, arXiv:1802.03136]. We first set up…

Metric Geometry · Mathematics 2020-05-12 Pratikshan Mondal , Hiranmoy Garai , Lakshmi Kanta Dey

In this paper we prove FG-coupled fixed point theorems for different contractive mappings and generalized quasi- contractive mappings in partially ordered complete metric spaces. We prove the existence of FG-coupled fixed points of…

General Topology · Mathematics 2016-04-12 Deepa Karichery , Shaini Pulickakunnel

The aim of this paper is to establish some metrical coincidence and common fixed point theorems with an arbitrary relation under an implicit contractive condition which is general enough to cover a multitude of well known contraction…

General Mathematics · Mathematics 2017-01-13 Md Ahmadullah , Mohammad Imdad , Mohammad Arif

We establish the existence of a common fixed point for mappings that satisfy and extend the F-contraction condition. To support our findings, we present pertinent definitions and properties associated with F-contraction mappings.…

General Mathematics · Mathematics 2025-05-08 Djamel Deghoul , Zoheir Chebel , Abdellatif Boureghda , Salah Benyoucef

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…

General Topology · Mathematics 2023-08-04 Talat Nazir , Zakaria Ali , Shahin Nosrat Jogan , Sergei Silvestrov

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…

General Topology · Mathematics 2025-08-08 Gopinath Janardhanan , Gunaseelan Mani , Nancy Delaila John Kennedy , Yaé Ulrich Gaba