Fixed Point Results for a Class of Monotone Nonexpansive Type Mappings in Hyperbolic Spaces

Fixed Point Results for a Class of Monotone Nonexpansive Type Mappings in Hyperbolic Spaces

We consider a wider class of nonexpansive type mappings and present some fixed point results for this class of mapping in partially hyperbolic spaces. Indeed, first we obtain some existence results for this class of mappings. Next, we present some convergence results for an iteration algorithm for t...

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Veröffentlicht in:Journal of function spaces 2018-01, Vol.2018 (2018), p.1-11
Hauptverfasser: Pandey, Rameshwar, al-Rawashdeh, Ahmed Saleh, Pant, Rajendra
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Integral equations
Iterative algorithms
Mathematical models
Nonlinear equations
Ordinary differential equations
Traveling salesman problem
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Zusammenfassung:We consider a wider class of nonexpansive type mappings and present some fixed point results for this class of mapping in partially hyperbolic spaces. Indeed, first we obtain some existence results for this class of mappings. Next, we present some convergence results for an iteration algorithm for the same class of mappings. Some illustrative nontrivial examples have also been discussed. Finally, we provide an application of our results to nonlinear integral equations.
ISSN:2314-8896
2314-8888
DOI:10.1155/2018/5850181