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Cubo (Temuco)
On-line version ISSN 0719-0646
Cubo vol.22 no.2 Temuco Aug. 2020
http://dx.doi.org/10.4067/S0719-06462020000200203
Articles
Contractive mapping theorems in Partially ordered metric spaces
1Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.1888, Adama, Ethiopia. seshu.namana@gmail.com
2Department of Mathematics, Vignan’s Foundation for Science, Technology & Research, Vadlamudi-522213, Andhra Pradesh, India. kalyani.namana@gmail.com
3Department of Mathematics, Government College Simalwara, Dungarpur 314403, Rajasthan, India. kejal0909@gmail.com
The purpose of this paper is to establish some coincidence, common fixed point theorems for monotone f-non decreasing self mappings satisfying certain rational type contraction in the context of a metric spaces endowed with partial order. Also, the results involving an integral type of such classes of mappings are discussed in application point of view. These results generalize and extend well known existing results in the literature.
Keywords and Phrases: Partially ordered metric spaces; Rational contractions; Compatible mappings; Weakly compatible mappings
El propósito de este artículo es establecer teoremas de coincidencia y de punto fijo común para auto mapeos monótonos f-no decrecientes satisfaciendo ciertas contracciones de tipo racional en el contexto de espacios métricos dotados de un orden parcial. Adicionalmente, resultados que involucran clases de mapeos de tipo integral son discutidos desde un punto de vista de las aplicaciones. Estos resultados generalizan y extienden resultados bien conocidos, existentes en la literatura.
Acknowledgments
The authors would like to thank the editor and referees for their precise remarks which improve the presentation of the paper.
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Received: February 14, 2020; Accepted: June 22, 2020
This is an open-access article distributed under the terms of the Creative Commons Attribution License
