A general fixed point theorem for two pairs of mappings satisfying a mixed implicit relation

DOI10.1515/ms-2017-0132zbMath1422.54057OpenAlexW2804430426MaRDI QIDQ4643585

Alina-Mihaela Patriciu, Valeriu Popa

Publication date: 24 May 2018

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0132

zbMATH Keywords

fixed pointcommon limit range propertyalmost altering distancemixed implicit relation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• Fixed point theorems for mappings with common limit range property satisfying generalized ({\(\psi\)},{\(\varphi\)})-weak contractive conditions
• Fixed points for \((\psi , \varphi )\)-weak contractions
• Some new common fixed point theorems under strict contractive conditions
• Common fixed point for generalized \((\psi ,\varphi )\)-weak contractions
• Common fixed point theorems for contractive maps
• Common fixed points of noncommuting mappings
• Two fixed-point theorems for mappings satisfying a general contractive condition of integral type
• A fixed point theorem for mappings satisfying a general contractive condition of integral type
• Compatible mapping and common fixed points
• Some nonunique common fixed point theorems in symmetric spaces through \(\text{CLR}_{(S, T)}\) property
• Common fixed points of single-valued and multivalued maps
• Fixed point theorems by altering distances between the points

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