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In this paper, we study the existence of fixed points for mappings defined on complete, (sequentially compact) cone metric spaces, satisfying a general contractive inequality depending of two additional mappings.

Functional Analysis · Mathematics 2015-02-17 José R. Morales , Edixon Rojas

We introduce and study a new type of mappings in metric spaces termed $n$-point Kannan-type mappings. A fixed-point theorem is proved for these mappings. In general case such mappings are discontinuous in the domain but necessarily…

General Topology · Mathematics 2025-04-22 Ravindra K. Bisht , Evgeniy Petrov

The purpose of this paper is to introduce the class of R-enriched interpolative Kannan pair and proved a common fixed point result in the context of R-complete convex metric spaces. Some examples are presented to support the concepts…

General Mathematics · Mathematics 2022-11-24 Mujahid Abbas , Rizwan Anjum , Shakeela Riasat

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

In this paper, we study the existence of fixed points for mappings defined on complete (compact) metric space (X, d) satisfying a general contractive (contraction) inequality depended on another function. These conditions are analogous to…

Functional Analysis · Mathematics 2009-03-10 A. Beiranvand , S. Moradi , M. Omid , H. Pazandeh

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

We focus on the new type perturbed metric spaces and introduce a contraction mapping namely new type perturbed Kannan mappings. For these mappings, we show that Banach's fixed point theorem holds. Moreover, this new generalization of…

General Mathematics · Mathematics 2025-05-30 Bekir Danış

The purpose of this paper is to obtain sufficient conditions for the existence of a unique fixed point of T-Kannan type mappings on complete cone metric spaces depended on another function.

Functional Analysis · Mathematics 2009-10-26 José R. Morales , Edixon Rojas

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

In the present paper, a new type of mappings called perimetric contractions on $k$-polygons is introduced. These contractions can be viewed as a generalization of mappings that contracts perimeters of triangles. A fixed point theorem for…

General Topology · Mathematics 2024-10-29 Mi Zhou , Evgeniy Petrov

In this article, we derive a common fixed point result for a pair of single valued and set-valued mappings on a metric space having graphical structure. In this case, the set-valued map is assumed to be closed valued instead of closed and…

Functional Analysis · Mathematics 2023-01-24 Pallab Maiti , Asrifa Sultana

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

In the Normed space theory, the existence of fixed points is one of the main tools in improving efficiency of iterative algorithms in optimization, numerical analysis and various mathematical applications. This study introduces and…

Optimization and Control · Mathematics 2024-05-15 Akansha Tyagi , Sachin Vashistha

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

In this paper, we study some new common fixed point results of generalized contractive non-self multi-valued mappings on complete metric space.

Functional Analysis · Mathematics 2013-09-06 Farshid Khojasteh , Vladimir Rakočević

In this article, we define and explore the topological properties of partial Sb-metric space. We define interpolative Boyd-Wong type contraction and interpolative Matkowski type contractions in the setting of partial Sb-metric space and…

General Topology · Mathematics 2023-10-20 Anuradha Gupta , Rahul Mansotra

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, 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

This article presents a deep investigation of fixed points for multivalued weak contractions in cone metric spaces. We extend Berinde weak contraction principles to the multivalued setting in cone metric spaces, developing existence,…

Functional Analysis · Mathematics 2025-08-13 Elvin Rada
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