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Convexity and boundedness relaxation for fixed point theorems in modular spaces

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Convexity and boundedness relaxation for fixed point theorems in modular spaces

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dc.contributor.author Lael, Fatemeh es_ES
dc.contributor.author Shabanian, Samira es_ES
dc.date.accessioned 2021-04-16T08:55:22Z
dc.date.available 2021-04-16T08:55:22Z
dc.date.issued 2021-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/165243
dc.description.abstract [EN] Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular problems in normed vector spaces. A recent trend of research has been dedicated to studying the fundamentals of fixed point theorems and relaxing their assumptions with the ambition of pushing the boundaries of fixed point theory in modular spaces further. In this paper, we focus on convexity and boundedness of modulars in fixed point results taken from the literature for contractive correspondence and single-valued mappings. To relax these two assumptions, we seek to identify the ties between modular and b-metric spaces. Afterwards we present an application to a particular form of integral inclusions to support our generalized version of Nadler’s theorem in modular spaces. es_ES
dc.description.sponsorship The authors gratefully acknowledge the reviewer and the editor for their useful observations and recommendations. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Modular space es_ES
dc.subject Fixed point es_ES
dc.subject Correspondences es_ES
dc.subject B-metric space es_ES
dc.title Convexity and boundedness relaxation for fixed point theorems in modular spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.13902
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Lael, F.; Shabanian, S. (2021). Convexity and boundedness relaxation for fixed point theorems in modular spaces. Applied General Topology. 22(1):91-108. https://doi.org/10.4995/agt.2021.13902 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.13902 es_ES
dc.description.upvformatpinicio 91 es_ES
dc.description.upvformatpfin 108 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\13902 es_ES
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