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The aim of this paper is to provide characterizations of a Meir-Keeler type mapping and a fixed point theorem for the mapping in a metric space endowed with a transitive relation.

Functional Analysis · Mathematics 2025-09-17 Koji Aoyama , Masashi Toyoda

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…

General Topology · Mathematics 2017-09-25 Yaé Ulrich Gaba , Collins Amburo Agyingi

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…

General Mathematics · Mathematics 2025-07-08 Babu G. V. R. , Alemayehu Negash , Meaza Bogale

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…

Functional Analysis · Mathematics 2016-10-04 Aftab Alam , Mohammad Imdad , Stojan Radenovic

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…

General Topology · Mathematics 2017-09-25 Yaé Ulrich Gaba

In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings. Finally, we use these…

Functional Analysis · Mathematics 2020-02-04 Nour el Houda Bouzara , Vatan Karakaya

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…

General Mathematics · Mathematics 2020-02-04 Derya Sekman , Vatan Karakaya

In this article, we present a new type of fixed point for single valed mapping in a $G$-complete $G$-metric space.

General Topology · Mathematics 2017-02-28 Yaé Olatoundji Gaba

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 article, we use $\lambda$-sequences to derive common fixed points for a family of self-mappings defined on a complete $G$-metric space. We imitate some existing techniques in our proofs and show that the tools emlyed can be used at…

General Topology · Mathematics 2017-03-27 Yaé Olatoundji Gaba

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,…

Functional Analysis · Mathematics 2012-05-31 Mehdi Asadi , Hossein Soleimani

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…

Functional Analysis · Mathematics 2011-03-29 Vasile Berinde

Rectangular TVS-cone metric spaces are introduced and Kannan's fixed point theorem is proved in these spaces. Two approaches are followed for the proof. At first we prove the theorem by a direct method using the structure of the space…

General Topology · Mathematics 2011-02-11 Thabet Abdeljawad , Duran Türkoğlu

The fixed point results for generalized Pre\v{s}i\'c type mappings in the setup of $b$-metric spaces are obtained. The stability of fixed point set of Pre\v{s}i\'c type mappings is also established. Several examples are also presented to…

General Topology · Mathematics 2023-07-26 Talat Nazir , Sergei Silvestrov

In this paper, using Kronecker's theorem, we discuss the set of common fixed points of an n-parameter continuous semigroup of mappings. We also discuss convergence theorems to a common fixed point of an n-parameter nonexpansive semigroup.

Functional Analysis · Mathematics 2007-05-23 Tomonari Suzuki

In this article, we demonstrate the common fixed point theorems for three transformations on vector S-metric space by utilizing weakly compatible and point of coincidence. Moreover, some of our results generalize the existing results in the…

General Mathematics · Mathematics 2023-06-09 Pooja Yadav , Mamta Kamra

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…

Operator Algebras · Mathematics 2020-10-06 Tianqing Cao , Qiaoling Xin

The first aim of this paper is to examine some important properties of soft metric spaces. Second is to introduce soft continuous mappings and investigate properties of soft continuous mappings. Third is to prove some fixed point theorems…

General Mathematics · Mathematics 2013-08-22 Murat I. Yazar , Cigdem Gunduz , Sadi Bayramov

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.

General Topology · Mathematics 2010-05-19 Bessem Samet , Habib Yazidi

We present a fixed point theorem on topological cylinders in normed linear spaces for maps satisfying a property of stretching a space along paths. This result is a generalization of a similar theorem obtained by D. Papini and F. Zanolin.…

General Topology · Mathematics 2015-03-27 Guglielmo Feltrin