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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

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

The fixed point result in Mustafa-Sims metrical structures obtained by Karapinar and Agarwal [Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms of anticipative contractions over the associated…

General Topology · Mathematics 2013-10-08 Mihai Turinici

In this article we studied the relationship between metric spaces and multiplicative metric spaces. Also, we pointed out some fixed and common fixed point results under some contractive conditions in multiplicative metric spaces can be…

General Topology · Mathematics 2015-12-14 K. Abodayeh , A. Pitea , W. Shatanawi , T. Abdeljawad

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

Some results on fixed points related to the contractive compositions of bounded operators in complete metric spaces are discussed through the manuscript. The class of composite operators under study can include, in particular, sequences of…

Functional Analysis · Mathematics 2012-08-30 M. De la Sen

All product fixed point results in ordered metric spaces based on linear contractive conditions are but a vectorial form of the fixed point statement due to Nieto and Rodriguez-Lopez [Order, 22 (2005), 223-239], under the lines in Matkowski…

General Topology · Mathematics 2011-10-17 Mihai Turinici

In this paper, we establish some fixed point theorems in ordered partial metric spaces. An example is given to illustrate our obtained results.

General Topology · Mathematics 2016-10-05 Hassen Aydi

In this article we extend the notion of orthogonal metric space to weak orthogonal metric space. Then we establish fixed point results for a mapping satisfying a more general contraction condition. Several nontrivial examples are given in…

Functional Analysis · Mathematics 2018-06-27 Tanusri Senapati

It is well known that fixed point problems of contractive-type mappings defined on cone metric spaces over Banach algebras are not equivalent to those in usual metric spaces (see [3] and [10]). In this framework, the novelty of the present…

Functional Analysis · Mathematics 2019-06-17 Cristian Daniel Alecsa

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

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 introduce two new classes of single-valued contractions of polynomial type defined on a metric space. For the first one, called the class of polynomial contractions, we establish two fixed point theorems. Namely, we first consider the…

General Topology · Mathematics 2025-05-27 Mohamed Jleli , Cristina Maria Pacurar , Bessem Samet

In this paper, inspired by the concept of generalized weakly contractive mappings in metric spaces, we introduce C-Class function and fixed point theory for weakly contractive in the setting of rectangular $b$-metric spaces and established…

General Topology · Mathematics 2023-05-23 Mohamed Rossafi , Abdelkarim Kari , Arsalan Hojjat Ansari

Kirk and Shahzad have recently given fixed point theorems concerning local radial contractions and metric transforms. In this article, we replace the metric transforms by metric-preserving functions. This in turn gives several extensions of…

Classical Analysis and ODEs · Mathematics 2014-05-29 Prapanpong Pongsriiam , Imchit Termwuttipong

In this paper, we introduce the neutrosophic contractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.

General Mathematics · Mathematics 2019-10-09 Murat Kirişci , Necip Şimşek , Mahmut Akyiğit

In this paper we introduce and study new classes of mappings in metric spaces. The main class of mappings is called generalized orbital triangular contractions and it generalizes some existing results (such as Banach contractions, mappings…

General Topology · Mathematics 2024-04-25 Cristina Maria Pacurar , Ovidiu Popescu

The aim of this study to investigate the existence of solutions for the following nonlocal integral boundary value problem of Caputo type fractional differential inclusions. To achieve our goals, we take advantage of fixed point theorems…

Classical Analysis and ODEs · Mathematics 2018-07-17 Hüseyin Işık

In this paper we investigate the nature of stationary points of functionals on the space of Riemannian metrics on a smooth compact manifold. Special cases are spectral invariants associated with Laplace or Dirac operators such as functional…

Differential Geometry · Mathematics 2019-03-13 Niels Martin Moller , Bent Orsted

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