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In this paper we give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.

General Topology · Mathematics 2016-10-05 Hassen Aydi

We are concerned with the study of fixed points for mappings $T: X\to X$, where $(X,G)$ is a $G$-metric space in the sense of Mustafa and Sims. After the publication of the paper [Journal of Nonlinear and Convex Analysis. 7(2) (2006)…

General Topology · Mathematics 2024-06-17 Mohamed Jleli , Cristina Maria Pacurar , Bessem Samet

Following the definition of perturbed metric space, in this paper, some fixed point theorems are established for $ F $-perturbed mappings in complete perturbed metric spaces and justify the result by counter example. Finally, an application…

Metric Geometry · Mathematics 2026-04-06 Dipti Barman , T. Bag

In this paper, we show that the generalized fixed-point algebra of a proper groupoid dynamical system, under certain assumptions, may be fibered over any locally compact Hausdorff space to which a continuous map exists from the unit space…

Operator Algebras · Mathematics 2018-04-24 Jonathan H. Brown , Leonard T. Huang

In this paper some generalized mappings due to L.B. Ciric over a generalized metric space have been studied with illustrative examples. Some theorems with necessary and sufficient conditions have been proved for such mappings on that space.

Functional Analysis · Mathematics 2018-06-19 Kushal Roy , Mantu Saha

The aim of this paper is to generalize some fixed point theorems in the class of convex contraction of order $m$ on a complete suprametric space. Then, we will prove that the class of convex contraction of order m is strong enough to…

General Mathematics · Mathematics 2026-05-11 Nicola Fabiano , Sedigheh Barootkoob , Hossein Lakzian

In this paper we study the notion of Gerghaty type contractive mapping via simulation function along with $\mathcal{C}$-class functions and prove the existence of several fixed point results in ordinary and partially ordered metric spaces.…

Functional Analysis · Mathematics 2018-10-26 Azhar Hussain , Muhammad Ishfaq , Tanzeela Kanwal , Stojan Radenović

We generalise the Caristi Fixed Point Theorem to the mappings of the complete semi-metric spaces.

Functional Analysis · Mathematics 2015-04-17 Oleg Zubelevich

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

Some known fixed point theorems for nonexpansive mappings in metric spaces are extended here to the case of primitive uniform spaces. The reasoning presented in the proofs seems to be a natural way to obtain other general results.

General Topology · Mathematics 2021-04-09 Lech Pasicki

This paper presents a family of new methods for locating/fitting hyperplanes with respect to a given set of points. We introduce a general framework for a family of aggregation criteria of different distance-based errors. The most popular…

Statistics Theory · Mathematics 2021-01-12 Víctor Blanco , Justo Puerto , Román Salmerón

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…

Functional Analysis · Mathematics 2018-05-01 Fumiaki Kohsaka

Recently $S_{b}$-metric spaces have been introduced as the generalizations of metric and $S$-metric spaces. In this paper we investigate some basic properties of this new space. We generalize the classical Banach's contraction principle…

General Topology · Mathematics 2017-04-18 Nihal Taş , Nihal Yilmaz Özgür

In this present article, we etablish some existence results of $\varphi-$fixed point of a mapping in a $C^{\ast}$-algebra valued metric spaces and we deduce some fixed point theorems in $C^{\ast}$-algebra valued partial metric spaces.…

Operator Algebras · Mathematics 2022-04-20 Hafida Massit , Mohamed Rossafi

The aim of this paper is to generalize the results on expansive mappings of Yesilkaya and Aydin from \cite{Yesilkaya}. We give some fixed point results for q-expansive mappings in metric spaces and prove some fixed point theorems for this…

General Topology · Mathematics 2024-06-17 Ovidiu Popescu , Cristina Maria Pacurar

Based on the recently developed theory of random sequential compactness, we prove the random Kakutani fixed point theorem in random normed modules: if G is a random sequentially compact L0-convex subset of a random normed module, then every…

Functional Analysis · Mathematics 2025-10-07 Qiang Tu , Xiaohuan Mu , Tiexin Guo , Guang Yang , Yuanyuan Sun

In this survey we present a generalization of the notion of metric space and some applications to discrete structures as graphs, ordered sets and transition systems. Results in that direction started in the middle eighties based on the…

Combinatorics · Mathematics 2020-02-11 Mustapha Kabil , Maurice Pouzet

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 give an interesting extension of the partial S-metric space which was introduced [4] to the M_s-metric space. Also, we prove the existence and uniqueness of a fixed point for a self mapping on an Ms-metric space under…

General Mathematics · Mathematics 2016-10-11 N. Mlaiki , N. Souayah , K. Abodayeh , T. Abdeljawad

In this paper, we state and prove a generalization of \'Ciri\'c fixed point theorems in metric space by using a new generalized quasi-contractive map. These theorems extend other well known fundamental metrical fixed point theorems in the…

General Topology · Mathematics 2014-03-19 Nguyen Van Dung , Poom Kumam , Kanokwan Sitthithakerngkiet