Coupled Fixed Point Theorems for Nonlinear Contractions Satisfied Mizoguchi-Takahashi's Condition in Quasiordered Metric Spaces
By Wei-Shih Du. 2010
64 citations recorded by the source corpus.
The main aim of this paper is to study and establish some new coupled fixed point theorems for nonlinear contractive maps that satisfied Mizoguchi-Takahashi's condition in the setting of quasiordered metric spaces or usual metric spaces.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/f0067bfd7e773ec5fa4417a0e96a1ad4697ffd47
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In Geometry and Topology
- Calogero Vetro
- Bessem Samet
- Mohamed Jleli
- Vesna Čojbašić Rajić
- Wei-Shih Du
- E. Karapınar
- Stojan Radenovic
- Zoran Kadelburg
Citations in the corpus
- On coincidence point and fixed point theorems for nonlinear multivalued maps (2012, background): “(g) φ is a function of contractive factor [4]; that is, for any strictly decreasing sequence {xn}n∈N in [0,∞), we have 0 supn∈N φ(xn) < 1.”
- Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations (2012, background): “After that, many authors established various coupled fixed point theorems (see, for example, [1, 4, 7, 9, 11, 15, 21, 22] and the references cited therein).”