Common fixed point results of four mappings in ordered partial metric spaces

Talat Nazir; Sergei Silvestrov; Mujahid Abbas

Waves, Wavelets and Fractals (2016)

  • Volume: 2, Issue: 1
  • ISSN: 2449-5557

Abstract

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On partially ordered set equipped with a partial metric, we study the sufficient conditions for existence of common fixed points of various mappings satisfying generalized weak contractive conditions. These results unify several comparable results in the existing literature.We also study the existence of nonnegative solution of implicit nonlinear integral equation. Furthermore, we study the fractal of finite family of generalized contraction mappings defined on a partial metric space.

How to cite

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Talat Nazir, Sergei Silvestrov, and Mujahid Abbas. "Common fixed point results of four mappings in ordered partial metric spaces." Waves, Wavelets and Fractals 2.1 (2016): null. <http://eudml.org/doc/287164>.

@article{TalatNazir2016,
abstract = {On partially ordered set equipped with a partial metric, we study the sufficient conditions for existence of common fixed points of various mappings satisfying generalized weak contractive conditions. These results unify several comparable results in the existing literature.We also study the existence of nonnegative solution of implicit nonlinear integral equation. Furthermore, we study the fractal of finite family of generalized contraction mappings defined on a partial metric space.},
author = {Talat Nazir, Sergei Silvestrov, Mujahid Abbas},
journal = {Waves, Wavelets and Fractals},
keywords = {Common fixed point; dominated maps; dominating maps; weakly compatible; integral equation; iterated function system; partial metric space; partially ordered set},
language = {eng},
number = {1},
pages = {null},
title = {Common fixed point results of four mappings in ordered partial metric spaces},
url = {http://eudml.org/doc/287164},
volume = {2},
year = {2016},
}

TY - JOUR
AU - Talat Nazir
AU - Sergei Silvestrov
AU - Mujahid Abbas
TI - Common fixed point results of four mappings in ordered partial metric spaces
JO - Waves, Wavelets and Fractals
PY - 2016
VL - 2
IS - 1
SP - null
AB - On partially ordered set equipped with a partial metric, we study the sufficient conditions for existence of common fixed points of various mappings satisfying generalized weak contractive conditions. These results unify several comparable results in the existing literature.We also study the existence of nonnegative solution of implicit nonlinear integral equation. Furthermore, we study the fractal of finite family of generalized contraction mappings defined on a partial metric space.
LA - eng
KW - Common fixed point; dominated maps; dominating maps; weakly compatible; integral equation; iterated function system; partial metric space; partially ordered set
UR - http://eudml.org/doc/287164
ER -

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