COMMON FIXED POINTS OF A PAIR OF SELFMAPS SATISFYING CERTAIN WEAKLY CONTRACTIVE INEQUALITY INVOLVING RATIONAL TYPE EXPRESSIONS VIA TWO AUXILIARY FUNCTIONS IN PARTIALLY ORDERED METRIC SPACES
DOI10.22190/FUMI1703329BzbMath1488.54106OpenAlexW2761989307MaRDI QIDQ4987503
G. V. R. Babu, K. K. M. Sarma, Padala Hari Kirshna, Pathina Sudheer Kumar, Vallabhapurapu Asunee Kumari, Gedala Satyanarayana
Publication date: 3 May 2021
Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.22190/fumi1703329b
common fixed pointsauxiliary functionspartially ordered metric spacesrational type contraction mappings
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Cites Work
- A fixed point theorem for contractions of rational type in partially ordered metric spaces
- Fixed point theorems for weakly \(C\)-contractive mappings in ordered metric spaces
- Fixed point theorems for weakly contractive mappings in partially ordered sets
- An extension of Banach contraction principle through rational expression
- Fixed point results in ordered metric spaces for rational type expressions with auxiliary functions
- Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations
- A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
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