A generalization of Mizoguchi and Takahashi's theorem for single-valued mappings in partially ordered metric spaces
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Publication:548634
DOI10.1016/j.na.2011.04.020zbMath1220.54023OpenAlexW1987850132MaRDI QIDQ548634
Maryam Ramezani, Madjid Eshaghi-Gordji
Publication date: 29 June 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.04.020
Related Items (12)
Unnamed Item ⋮ Pata contractions and coupled type fixed points ⋮ Coupled fixed point theorems for generalized Mizoguchi-Takahashi contractions with applications ⋮ Existence of solutions for a periodic boundary value problem via generalized weakly contractions ⋮ A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations ⋮ Common fixed point theorems for ({\(\psi\)}, {\(\phi\)})-weak nonlinear contraction in partially ordered sets ⋮ Coupled common fixed point theorems for mixed weakly monotone mappings in partially ordered metric spaces ⋮ Some notes on the existence of solution for ordinary differential equations via fixed point theory ⋮ \(N\)-fixed point theorems for nonlinear contractions in partially ordered metric spaces ⋮ Some generalizations of Mizoguchi-Takahashi's fixed point theorem with new local constraints ⋮ A new generalized contraction and its application in dynamic programming ⋮ Coupled fixed point results for $alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications
Cites Work
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- Fixed point theorems for set-valued contraction type maps in metric spaces
- Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces
- Coupled fixed point theorems for nonlinear contractions satisfied Mizoguchi-Takahashi's condition in quasiordered metric spaces
- Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
- Fixed point theorems for multivalued mappings on complete metric spaces
- Abstract comparison principles and multivariable Gronwall-Bellman inequalities
- Fixed point theorems for generalized contractions in ordered metric spaces
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- Fixed point theorems in partially ordered metric spaces and applications
- Multi-valued contraction mappings
- A fixed point theorem in partially ordered sets and some applications to matrix equations
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