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Using the setting of $G$-metric spaces, common fixed point theorems for four maps satisfying the weakly commuting conditions are obtained for various generalized contractive conditions. Several examples are also presented to show the…

General Topology · Mathematics 2023-07-24 Talat Nazir , Sergei Silvestrov

We introduce a new type of mappings in metric space which are three-point analogue of the well-known Chatterjea type mappings, and call them generalized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the…

Metric Geometry · Mathematics 2025-05-27 Ovidiu Popescu , Cristina Maria Păcurar

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

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

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 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

We obtain coupled coincidence and coupled common fixed point theorems for mixed $g$-monotone nonlinear operators $F:X \times X \rightarrow X$ in partially ordered metric spaces. Our results are generalizations of recent coincidence point…

Functional Analysis · Mathematics 2011-03-29 Vasile Berinde

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 article, we prove the existence of common fixed points for a pair of maps on a $q$-spherically complete $T_0$-ultra-quasi-metric space. The present article is a generalization, in the assymmetric setting of the paper of Rao et…

General Topology · Mathematics 2014-12-04 Collins Amburo Agyingi , Yaé Ulrich Gaba

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 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

The aim of this paper is to present some fixed point theorems for generalized contractions by altering distance functions in a complete cone metric spaces endowed with a partial order. We also generalize fixed point theorems of J. Harjani,…

Functional Analysis · Mathematics 2012-05-31 Mehdi Asadi , Hossein Soleimani

Inspired by the work of Suzuki in [Proc. Amer. Math. Soc. 136 (2008), 1861--1869] we prove a fixed point theorem for contractive mappings that generalizes a theorem of Geraghty in [Proc. Amer. Math. Soc., 40 (1973), 604--608] and…

General Topology · Mathematics 2012-07-27 Mortaza Abtahi

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

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

In this paper we prove some new fixed point theorems for multivalued mappings on orbitally complete uniform spaces.

General Topology · Mathematics 2007-05-23 Duran Turkoglu , Brian Fisher

We establish the existence of a common fixed point for mappings that satisfy and extend the F-contraction condition. To support our findings, we present pertinent definitions and properties associated with F-contraction mappings.…

General Mathematics · Mathematics 2025-05-08 Djamel Deghoul , Zoheir Chebel , Abdellatif Boureghda , Salah Benyoucef

In the present article, we introduce a unified notion of multi-tupled fixed points and utilize the same to prove some existence and uniqueness unified multi-tupled fixed point theorems for Boyd-Wong type nonlinear contractions satisfying…

Functional Analysis · Mathematics 2016-01-12 Aftab Alam , Mohammad Imdad , Javid Ali

In this paper, we introduce a new type of coupled fixed point theorem in partially ordered complete metric space. We give an example to support of our result.

General Topology · Mathematics 2017-03-31 Isa Yildirim

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