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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 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 are going to prove a very general fixed point theorem for mappings acting in partial metric spaces. In that theorem we impose some conditions on behavior of considered mappings on orbits and a condition relating orbits of…

General Topology · Mathematics 2023-12-27 Dariusz Bugajewski , Piotr Maćkowiak

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

We generalize the results of Sehgal and Guseman for mappings on a complete metric space with a contractive iterate condition at each point.

Functional Analysis · Mathematics 2015-04-13 Samet Karaibryamov , Boyan Zlatanov

In this article, we investigate some fixed point results satisfying a new generalized $\Delta$-implicit contractive condition in ordered complete multiplicative $\mathbf{G}_\mathcal{M}-$metric space. Also, some new definitions and fixed…

Functional Analysis · Mathematics 2022-06-14 Mohamed Gamal , Fu-Gui Shi

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

None has studied the well-posedness of common fixed points in fuzzy metric space. In this paper, our target is to develop the well-posedness of common fixed points in fuzzy metric space. Also using weakly compatibility, implicit relation,…

General Mathematics · Mathematics 2011-04-20 Sumit Mohinta , T. K. Samanta

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.

Functional Analysis · Mathematics 2022-08-16 Tayebe Lal Shateri

In this paper, the notion of $\mathbb{C}$-simulation function is introduced and the existence and uniqueness of common fixed points of two self-mappings satisfying contractive conditions in the setting of complex valued metric spaces via…

Functional Analysis · Mathematics 2019-05-10 Anuradha Gupta , Manu Rohilla

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 study the existence and uniqueness of fixed points of a class of mappings defined on complete, (sequentially compact) cone metric spaces, without continuity conditions and depending on another function.

Functional Analysis · Mathematics 2009-06-12 José R. Morales , Edixon Rojas

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

This paper establishes new common fixed point theorems for weakly compatible mappings in metric spaces, relaxing traditional requirements such as continuity, compatibility, and reciprocal continuity. We present a unified framework for three…

General Mathematics · Mathematics 2025-07-02 Alemayehu Negash , Meaza Bogale

In this paper, we give some requirements under which two self-mappings have a common fixed point in $b$-metric-like spaces.

Metric Geometry · Mathematics 2023-12-08 B. Mohebbi Najmabadi , T. L. Shateri

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 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

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

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

In this work, we define the concept of mixed $G$-monotone mappings defined on a metric space endowed with a graph. Then we obtain sufficient conditions for the existence of coupled fixed points for such mappings when a weak contractivity…

Functional Analysis · Mathematics 2018-01-24 M. R. Alfuraidan , M. A. Khamsi