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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

We establish some common fixed point results for four transformations in vector S-metric spaces by using the notion of weakly compatibility (WC) and occasionally weakly compatibility (OWC). The first theorem is proved by using the concept…

General Mathematics · Mathematics 2022-08-29 Pooja Yadav , Mamta Kamra

In this paper we prove FG-coupled fixed point theorems for different contractive mappings and generalized quasi- contractive mappings in partially ordered complete metric spaces. We prove the existence of FG-coupled fixed points of…

General Topology · Mathematics 2016-04-12 Deepa Karichery , Shaini Pulickakunnel

A recent open problem was stated on the geometric properties of $\varphi $-fixed points of self-mappings of a metric space in the non-unique fixed point cases. In this paper, we deal with the solutions of this open problem and present some…

General Topology · Mathematics 2021-07-26 Nihal Özgür , Nihal Taş

Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of $\beta$-admissible mappings and obtain common fixed point theorems for such a pair in complete and weak $G$-complete fuzzy…

General Topology · Mathematics 2024-04-04 Sugata Adhya , A. Deb Ray

In this paper we introduce FG- coupled fixed point, which is a generalization of coupled fixed point for nonlinear mappings in partially ordered complete metric spaces. We discuss existence and uniqueness theorems of FG- coupled fixed…

General Topology · Mathematics 2016-10-04 Prajisha Eacha , Shaini Pulickakunnel

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

We consider a relatively new hybrid generalized F-contraction involving a pair of mappings and utilize the same to prove a common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings satisfying…

Functional Analysis · Mathematics 2016-04-04 Hemant Kumar Nashine , Mohammad Imdad , MD Ahmadullah

In this paper, we prove common fixed point results for a self-mappings satisfying an implicit function which is general enough to cover a multitude of known as well as unknown contractions. Our results modify, unify, extend and generalize…

Functional Analysis · Mathematics 2017-01-03 Mohammad Imdad , Rqeeb Gubran , Md Ahmadullah

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 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 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

Following the definition of perturbed metric space, in this paper, some fixed point theorems are established for $ F $-perturbed mappings in complete perturbed metric spaces and justify the result by counter example. Finally, an application…

Metric Geometry · Mathematics 2026-04-06 Dipti Barman , T. Bag

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 2026-03-24 Vladyslav Babenko , Vira Babenko , Oleg Kovalenko

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

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

We introduce a new type of mappings in metric spaces which are three-point analogue of the well-known Kannan type mappings and call them generalized Kannan type mappings. It is shown that in general case such mappings are discontinuous but…

General Topology · Mathematics 2025-01-06 Evgeniy Petrov , Ravindra K. Bisht

We establish some new common fixed point theorems of single-valued and multivalued mappings operating between complete ordered locally convex spaces under weaker assumptions. As an application, we prove a new minimax theorem of existence of…

Functional Analysis · Mathematics 2021-09-21 Driss Mentagui , Azennar Radouane

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

We present coincidence and common fixed point results of selfmappings satisfying a contraction type in partially ordered metric spaces. As an application, we give an existence theorem for a common solution of integral equations.

General Topology · Mathematics 2016-11-25 Hassen Aydi