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Fixed Point Results in Modular b-Metric-like Spaces with an Application

Axioms
In this study, we introduce a new space called the modular b-metric-like space. We investigate some properties of this new concept and define notions of ξ-convergence, ξ-Cauchy sequence, ξ-completeness and ξ-contraction.
Nizamettin Ufuk Bostan, Banu Pazar Varol
doaj   +6 more sources

On Modified Interpolative Almost $\mathcal{E}-$Type Contraction in Partial Modular $b-$Metric Spaces

Axioms, 2023
The current study attempts to identify a new generalized metric space structure, referred to as partial modular b−metric, that extends both partial modular metric space via b−metric space and explains the topological aspects of the new space implementing
Dilek Kesik, Abdurrahman Büyükkaya, Mahpeyker Öztürk   +2 more
doaj   +2 more sources

Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α,
Büyükkaya Abdurrahman, Öztürk Mahpeyker   +1 more
doaj   +4 more sources

Fixed Point Results for Generalized F-Contractions in Modular b-Metric Spaces with Applications [PDF]

Mathematics, 2019
The aim of this paper is to generalize the F -contractive condition in the framework of α - ν -complete modular b-metric spaces. Some results in ordered modular b-metric spaces are also presented.
Vahid Parvaneh, Nawab Hussain, Maryam Khorshidi, Nabil Mlaiki, Hassen Aydi   +4 more
doaj   +2 more sources

Some Common Fixed Point Results for 𝒵E−Contractions in Modular b−Metric Spaces

Topological Algebra and its Applications, 2022
The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces.
Büyükkaya Abdurrahman, Öztürk Mahpeyker   +1 more
doaj   +2 more sources

FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS IN MODULAR B-METRIC SPACES

Barekeng
This paper explores multivalued mappings in modular b-metric spaces, with particular emphasis on contraction-type mappings. It introduces the concept of a Hausdorff distance adapted to this setting and investigates fixed point theorems associated with ...
Hartono Hartono, Lusi Harini, Afifah Hayati, Syamsudin Mas'ud, Thesa Adi Saputra Yusri, Karyati Karyati, Fitriana Yuli Saptaningtyas   +6 more
doaj   +2 more sources

Fixed point results of a-bY-F-Geraghty type contractive mapping on modular b-metric spaces [PDF]

Mathematica Moravica
In this paper, we generalize a-bY-F-Geraghty type contraction in modular b-metric spaces and prove some fixed point results that are justified by suitable examples.
Jain Shishir, Sharma Yogita, Jain Shobha, Sharma Sumit   +3 more
doaj   +2 more sources

On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an Application

Communications in Advanced Mathematical Sciences
In this paper, by taking ${{\mathcal C}_\mathcal{A}}-$simulation function and Proinov type function into account, we set up a new contraction mapping called Suzuki$-$Proinov $\mathpzc{Z^*}_{\aE^*}^{\aR}(\alpha)-$contraction, including both rational ...
Abdurrahman Büyükkaya, Mahpeyker Öztürk   +1 more
doaj   +3 more sources

Fixed Points of Suzuki Contractive Mappings in Modular b-Metric Spaces With an Application

Journal of Applied Mathematics
We introduce the concept of a generalized ZC-type Suzuki contraction utilizing the generalized framework of metric spaces known as the partial modular b-metric space in the light of an amorphous binary relation.
Gopi Prasad
doaj   +3 more sources

Common Fixed Points Within Framework of F-Modular b-Metric Space and Its Applications

Abstract and Applied Analysis
MSC2010 Classification: 47H10 ...
Parveen Tyagi, Surjeet Singh Chauhan (Gonder), Naveen Mani, Rahul Shukla   +3 more
doaj   +2 more sources