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We now evaluate (r(S,S^{mathrm{I}})) to determine the stability of the various fixed points found in Appendix C (Eqs. (19)–(219).
Furthermore, in view of a socially desirable mode choice, we also investigate the impacts of total travel demand and bus size on the convergence of the system to various fixed points associated with different targeted mode split.
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The technique used in these articles has relied heavily on various fixed point results such as Krasnosel'skii's fixed point theorem in a cone, Leray-Schauder alternative, Leggett-Williams' fixed point theorem, five-functional fixed point theorem, Schauder fixed point theorem, and Schauder-Tychonoff fixed point theorem.
In this section, from our Theorem 3.1, we deduce easily various fixed point theorems on partial metric spaces including the Matthews fixed point theorem.
In this section, from our previous obtained results on metric spaces, we show that we can deduce easily various fixed point theorems on partial metric spaces including the Matthews fixed point theorem.
These results can be used as an efficient tool to study various fixed point results such as fixed point results in partially ordered spaces, fixed point results for cyclic mappings, multidimensional fixed point results (coupled fixed point results, tripled fixed point results, quadrupled fixed point etc).
These results were usually obtained by analytic techniques, various fixed point theorems, and global bifurcation techniques.
Results on this topic are usually achieved by using various fixed point theorems and degree theory.
Since then various fixed point results concerning multivalued contractions have appeared.
These results were usually obtained by analytic techniques and various fixed point theorems.
Existence theorems for the Urysohn integral equations can be obtained applying various fixed point principles.
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