Coincidence and fixed point theorems for nonlinear hybrid generalized contractions

H. K. Pathak; Shin Min Kang; Yeol Je Cho

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 2, page 341-357
  • ISSN: 0011-4642

Abstract

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In this paper we first prove some coincidence and fixed point theorems for nonlinear hybrid generalized contractions on metric spaces. Secondly, using the concept of an asymptotically regular sequence, we give some fixed point theorems for Kannan type multi-valued mappings on metric spaces. Our main results improve and extend several known results proved by other authors.

How to cite

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Pathak, H. K., Kang, Shin Min, and Cho, Yeol Je. "Coincidence and fixed point theorems for nonlinear hybrid generalized contractions." Czechoslovak Mathematical Journal 48.2 (1998): 341-357. <http://eudml.org/doc/30423>.

@article{Pathak1998,
abstract = {In this paper we first prove some coincidence and fixed point theorems for nonlinear hybrid generalized contractions on metric spaces. Secondly, using the concept of an asymptotically regular sequence, we give some fixed point theorems for Kannan type multi-valued mappings on metric spaces. Our main results improve and extend several known results proved by other authors.},
author = {Pathak, H. K., Kang, Shin Min, Cho, Yeol Je},
journal = {Czechoslovak Mathematical Journal},
keywords = {Weakly commuting; compatible and weakly compatible mappings; asymptotically regular sequence; coincidence point and fixed point; Kannan mapping; weakly commuting; weakly compatible mappings; asymptotically regular sequence; coincidence point; Kannan mapping},
language = {eng},
number = {2},
pages = {341-357},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Coincidence and fixed point theorems for nonlinear hybrid generalized contractions},
url = {http://eudml.org/doc/30423},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Pathak, H. K.
AU - Kang, Shin Min
AU - Cho, Yeol Je
TI - Coincidence and fixed point theorems for nonlinear hybrid generalized contractions
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 2
SP - 341
EP - 357
AB - In this paper we first prove some coincidence and fixed point theorems for nonlinear hybrid generalized contractions on metric spaces. Secondly, using the concept of an asymptotically regular sequence, we give some fixed point theorems for Kannan type multi-valued mappings on metric spaces. Our main results improve and extend several known results proved by other authors.
LA - eng
KW - Weakly commuting; compatible and weakly compatible mappings; asymptotically regular sequence; coincidence point and fixed point; Kannan mapping; weakly commuting; weakly compatible mappings; asymptotically regular sequence; coincidence point; Kannan mapping
UR - http://eudml.org/doc/30423
ER -

References

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