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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

In this paper, we establish coincidence fixed point and common fixed point theorems for two mapping in complete $C^*$-algebra-valued metric spaces which satisfy new contractive conditions. Some applications of our obtained results are…

Functional Analysis · Mathematics 2015-07-01 Xin Qiaoling , Jiang Lining , Ma Zhenhua

Our purpose of this paper is to focus on fixed point property in fuzzy metric space. To achieve our objective, we will introduce a new contraction condition to examine the fixed point for multi-valued mapping, then we will be investigating…

General Mathematics · Mathematics 2024-07-23 Ismail Tahiri , Ahmed Nuino

In this research article, we discuss two topics. Firstly, we introduce SCC-Map and $\phi$-contraction type $T$-coupling. By using these two definitions, we generalize $\phi$-contraction type coupling given by H. Aydi et al. [3] to…

Functional Analysis · Mathematics 2017-10-30 Tawseef Rashid , Q. H. Khan

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

We establish fixed point theorems for nonlinear contractions on a metric space (not essentially complete) endowed with an arbitrary binary relation. Our results extend, generalize, modify and unify several known results especially those…

General Topology · Mathematics 2016-11-15 Md Ahmadullah , Mohammad Imdad , Rqeeb Gubran

In this paper we establish the existence of related fixed points theorems for two pairs of mappings with different contraction conditions in two fuzzy metric spaces.

General Mathematics · Mathematics 2012-05-14 T. K. Samanta , Sumit Mohinta , Iqbal H. Jebril

In this paper we give some relationship between G-metric spaces, partial metric spaces and GP-metric spaces.

General Topology · Mathematics 2019-06-04 Mohammad Reza Ahmadi Zand , Homa Golvardi Yazdi

The aim of this paper is to prove a fixed point theorem on a generalised cone metric spaces for maps satisfying general contractive type conditions.

Classical Analysis and ODEs · Mathematics 2016-10-04 Sudip Kumar Pal , Manojit Maity

In this paper, we introduce the concept of mixed (G, S)-monotone mappings and prove coupled coincidence and coupled common fixed point theorems for such mappings satisfying a nonlinear contraction involving altering distance functions.…

General Topology · Mathematics 2011-05-17 Habib Yazidi

In this paper, our aim is to obtain new fixed-disc results on metric spaces. To do this, we present a new approach using the set of simulation functions and some known fixed-point techniques. We do not need to have some strong conditions…

Metric Geometry · Mathematics 2025-06-03 Nihal Yilmaz Özgür

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

We establish common fixed point theorems for two pairs of weakly compatible self-mappings using an auxiliary function of two variables. Unlike classical results, our theorems do not assume continuity of the mappings and require completeness…

Functional Analysis · Mathematics 2025-09-10 Babu G. V. R. , Alemayehu Negash , Sandhya M. L. , Meaza Bogale

In this paper we indicate a way to generalize a series of fixed point results in the framework of b-metric spaces and we exemplify it by extending Nadler's contraction principle for set-valued functions (see Multi-valued contraction…

Classical Analysis and ODEs · Mathematics 2015-12-15 Radu Miculescu , Alexandru Mihail

We prove fixed point theorems in a space with a distance function that takes values in a partially ordered monoid. On the one hand, such an approach allows one to generalize some fixed point theorems in a broad class of spaces, including…

Functional Analysis · Mathematics 2021-03-26 Vladyslav Babenko , Vira Babenko , Oleg Kovalenko

The paper introduces the class of O-metric spaces, a novel generalization of metric-type spaces, classifying almost all possible metric types into upward and downward O-metrics. We list some topologies arising from O-metrics and discuss…

General Mathematics · Mathematics 2025-04-29 Hallowed O. Olaoluwa , Aminat O. Ige , Johnson O. Olaleru

In this present article, we get sufficient conditions for the existence and uniqueness of fixed points and common fixed points for single and double mapping satisfying various contractive conditions within the partially ordered…

General Mathematics · Mathematics 2017-05-29 Meltem Kaya , Hasan Furkan

In this paper, we introduce the notion of bicomplex partial b-metric space and prove some common fixed point theorems. Our results generalize and expand some of the literature's well known results. We also explore some of the applications…

Functional Analysis · Mathematics 2021-07-12 Gunaseelan Mani , Arul Joseph Gnanaprakasam , Yongjin Li , Zhaohui Gu

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

In this article, we introduce a new type of mapping contracting perimeters of triangles in a complete metric space and present related fixed point theorem. We study the metric completeness property of the underlying space in terms of fixed…

Functional Analysis · Mathematics 2026-01-16 Tanusri Senapati