International Journal of Nonlinear Analysis and Applications, 2014
In this paper, we introduce tripled partially ordered sets and monotone functions on tripled part... more In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partially ordered sets. Some basic properties on these new dened sets are studied and some examples for clarifying are given.
In this paper, we prove the existence of infinitely many solutions to nonlinear fractional bounda... more In this paper, we prove the existence of infinitely many solutions to nonlinear fractional boundary value systems, depending on two real parameters. The approach is based on critical point theory and variational methods. We also give an example to illustrate the obtained results.
A new coupled fixed point theorem related to the Pata contraction for mappings having the mixed m... more A new coupled fixed point theorem related to the Pata contraction for mappings having the mixed monotone property in partially ordered complete metric spaces is established. It is shown that the coupled fixed point can be unique under some extra suitable conditions involving mid point lower or upper bound properties. Also the corresponding convergence rate is estimated when the iterates of our function converge to its coupled fixed point. MSC:47H10, 34B15, 54H25.
International Journal of Nonlinear Analysis and Applications, 2014
In this paper, we introduce tripled partially ordered sets and monotone functions on tripled part... more In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partially ordered sets. Some basic properties on these new dened sets are studied and some examples for clarifying are given.
In this paper, we prove the existence of infinitely many solutions to nonlinear fractional bounda... more In this paper, we prove the existence of infinitely many solutions to nonlinear fractional boundary value systems, depending on two real parameters. The approach is based on critical point theory and variational methods. We also give an example to illustrate the obtained results.
A new coupled fixed point theorem related to the Pata contraction for mappings having the mixed m... more A new coupled fixed point theorem related to the Pata contraction for mappings having the mixed monotone property in partially ordered complete metric spaces is established. It is shown that the coupled fixed point can be unique under some extra suitable conditions involving mid point lower or upper bound properties. Also the corresponding convergence rate is estimated when the iterates of our function converge to its coupled fixed point. MSC:47H10, 34B15, 54H25.
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Papers by samad mohseni