Hybrid fixed point theory for right monotone increasing multi-valued mappings and neutral functional differential inclusions

Bapurao Chandra Dhage

Archivum Mathematicum (2007)

  • Volume: 043, Issue: 4, page 265-284
  • ISSN: 0044-8753

Abstract

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In this paper, some hybrid fixed point theorems for the right monotone increasing multi-valued mappings in ordered Banach spaces are proved via measure of noncompactness and they are further applied to the neutral functional nonconvex differential inclusions involving discontinuous multi-functions for proving the existence results under mixed Lipschitz, compactness and right monotonicity conditions. Our results improve the multi-valued hybrid fixed point theorems of Dhage (Dhage, B. C., A fixed point theorem for multivalued mappings on ordered Banach spaces with applications I, Nonlinear Anal. Forum 10 (2005), 105–126.) under weaker convexity conditions.

How to cite

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Dhage, Bapurao Chandra. "Hybrid fixed point theory for right monotone increasing multi-valued mappings and neutral functional differential inclusions." Archivum Mathematicum 043.4 (2007): 265-284. <http://eudml.org/doc/250172>.

@article{Dhage2007,
abstract = {In this paper, some hybrid fixed point theorems for the right monotone increasing multi-valued mappings in ordered Banach spaces are proved via measure of noncompactness and they are further applied to the neutral functional nonconvex differential inclusions involving discontinuous multi-functions for proving the existence results under mixed Lipschitz, compactness and right monotonicity conditions. Our results improve the multi-valued hybrid fixed point theorems of Dhage (Dhage, B. C., A fixed point theorem for multivalued mappings on ordered Banach spaces with applications I, Nonlinear Anal. Forum 10 (2005), 105–126.) under weaker convexity conditions.},
author = {Dhage, Bapurao Chandra},
journal = {Archivum Mathematicum},
keywords = {ordered Banach space; hybrid fixed point theorem; neutral functional differential inclusion and existence theorem; ordered Banach space; hybrid fixed point theorem},
language = {eng},
number = {4},
pages = {265-284},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Hybrid fixed point theory for right monotone increasing multi-valued mappings and neutral functional differential inclusions},
url = {http://eudml.org/doc/250172},
volume = {043},
year = {2007},
}

TY - JOUR
AU - Dhage, Bapurao Chandra
TI - Hybrid fixed point theory for right monotone increasing multi-valued mappings and neutral functional differential inclusions
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 4
SP - 265
EP - 284
AB - In this paper, some hybrid fixed point theorems for the right monotone increasing multi-valued mappings in ordered Banach spaces are proved via measure of noncompactness and they are further applied to the neutral functional nonconvex differential inclusions involving discontinuous multi-functions for proving the existence results under mixed Lipschitz, compactness and right monotonicity conditions. Our results improve the multi-valued hybrid fixed point theorems of Dhage (Dhage, B. C., A fixed point theorem for multivalued mappings on ordered Banach spaces with applications I, Nonlinear Anal. Forum 10 (2005), 105–126.) under weaker convexity conditions.
LA - eng
KW - ordered Banach space; hybrid fixed point theorem; neutral functional differential inclusion and existence theorem; ordered Banach space; hybrid fixed point theorem
UR - http://eudml.org/doc/250172
ER -

References

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