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NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions
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Zeitschriftentitel: | Journal of Function Spaces |
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Personen und Körperschaften: | , , |
In: | Journal of Function Spaces, 2015, 2015, S. 1-13 |
Format: | E-Article |
Sprache: | Englisch |
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Hindawi Limited
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Schlagwörter: |
author_facet |
Kutbi, M. A. Hussain, N. Khaleghizadeh, S. Kutbi, M. A. Hussain, N. Khaleghizadeh, S. |
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author |
Kutbi, M. A. Hussain, N. Khaleghizadeh, S. |
spellingShingle |
Kutbi, M. A. Hussain, N. Khaleghizadeh, S. Journal of Function Spaces NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions Analysis |
author_sort |
kutbi, m. a. |
spelling |
Kutbi, M. A. Hussain, N. Khaleghizadeh, S. 2314-8896 2314-8888 Hindawi Limited Analysis http://dx.doi.org/10.1155/2015/136306 <jats:p>We introduce new concepts of an<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, a weak<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, a generalized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, and Suzuki type<jats:italic>GF</jats:italic>-contractions and establish the existence of<jats:italic>PPF</jats:italic>dependent fixed point theorems for such kind of contractive nonself-mappings in the Razumikhin class. As applications of our results, we derive some<jats:italic>PPF</jats:italic>dependent fixed point theorems for<jats:italic>GF</jats:italic>-contractive nonself-mappings whenever the range space is endowed with a graph or a partial order. The obtained results generalize, extend, and modify some<jats:italic>PPF</jats:italic>dependent fixed point results in the literature.</jats:p> New<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>P</mml:mi><mml:mi>P</mml:mi><mml:mi>F</mml:mi></mml:mrow></mml:math>Dependent Fixed Point Theorems for Suzuki Type<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>G</mml:mi><mml:mi>F</mml:mi></mml:mrow></mml:math>-Contractions Journal of Function Spaces |
doi_str_mv |
10.1155/2015/136306 |
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Online Free |
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Mathematik |
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Hindawi Limited, 2015 |
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Hindawi Limited, 2015 |
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2314-8896 2314-8888 |
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2015 |
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Hindawi Limited |
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Journal of Function Spaces |
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49 |
title |
NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_unstemmed |
NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_full |
NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_fullStr |
NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_full_unstemmed |
NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_short |
NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_sort |
new<mml:math xmlns:mml="http://www.w3.org/1998/math/mathml" id="m1"><mml:mrow><mml:mi>p</mml:mi><mml:mi>p</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:math>dependent fixed point theorems for suzuki type<mml:math xmlns:mml="http://www.w3.org/1998/math/mathml" id="m2"><mml:mrow><mml:mi>g</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:math>-contractions |
topic |
Analysis |
url |
http://dx.doi.org/10.1155/2015/136306 |
publishDate |
2015 |
physical |
1-13 |
description |
<jats:p>We introduce new concepts of an<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, a weak<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, a generalized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, and Suzuki type<jats:italic>GF</jats:italic>-contractions and establish the existence of<jats:italic>PPF</jats:italic>dependent fixed point theorems for such kind of contractive nonself-mappings in the Razumikhin class. As applications of our results, we derive some<jats:italic>PPF</jats:italic>dependent fixed point theorems for<jats:italic>GF</jats:italic>-contractive nonself-mappings whenever the range space is endowed with a graph or a partial order. The obtained results generalize, extend, and modify some<jats:italic>PPF</jats:italic>dependent fixed point results in the literature.</jats:p> |
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author | Kutbi, M. A., Hussain, N., Khaleghizadeh, S. |
author_facet | Kutbi, M. A., Hussain, N., Khaleghizadeh, S., Kutbi, M. A., Hussain, N., Khaleghizadeh, S. |
author_sort | kutbi, m. a. |
container_start_page | 1 |
container_title | Journal of Function Spaces |
container_volume | 2015 |
description | <jats:p>We introduce new concepts of an<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, a weak<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, a generalized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, and Suzuki type<jats:italic>GF</jats:italic>-contractions and establish the existence of<jats:italic>PPF</jats:italic>dependent fixed point theorems for such kind of contractive nonself-mappings in the Razumikhin class. As applications of our results, we derive some<jats:italic>PPF</jats:italic>dependent fixed point theorems for<jats:italic>GF</jats:italic>-contractive nonself-mappings whenever the range space is endowed with a graph or a partial order. The obtained results generalize, extend, and modify some<jats:italic>PPF</jats:italic>dependent fixed point results in the literature.</jats:p> |
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spelling | Kutbi, M. A. Hussain, N. Khaleghizadeh, S. 2314-8896 2314-8888 Hindawi Limited Analysis http://dx.doi.org/10.1155/2015/136306 <jats:p>We introduce new concepts of an<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, a weak<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, a generalized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mrow><mml:msub><mml:mi>α</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>-<jats:italic>GF</jats:italic>-contractive nonself-mapping, and Suzuki type<jats:italic>GF</jats:italic>-contractions and establish the existence of<jats:italic>PPF</jats:italic>dependent fixed point theorems for such kind of contractive nonself-mappings in the Razumikhin class. As applications of our results, we derive some<jats:italic>PPF</jats:italic>dependent fixed point theorems for<jats:italic>GF</jats:italic>-contractive nonself-mappings whenever the range space is endowed with a graph or a partial order. The obtained results generalize, extend, and modify some<jats:italic>PPF</jats:italic>dependent fixed point results in the literature.</jats:p> New<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>P</mml:mi><mml:mi>P</mml:mi><mml:mi>F</mml:mi></mml:mrow></mml:math>Dependent Fixed Point Theorems for Suzuki Type<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>G</mml:mi><mml:mi>F</mml:mi></mml:mrow></mml:math>-Contractions Journal of Function Spaces |
spellingShingle | Kutbi, M. A., Hussain, N., Khaleghizadeh, S., Journal of Function Spaces, NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions, Analysis |
title | NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_full | NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_fullStr | NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_full_unstemmed | NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_short | NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
title_sort | new<mml:math xmlns:mml="http://www.w3.org/1998/math/mathml" id="m1"><mml:mrow><mml:mi>p</mml:mi><mml:mi>p</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:math>dependent fixed point theorems for suzuki type<mml:math xmlns:mml="http://www.w3.org/1998/math/mathml" id="m2"><mml:mrow><mml:mi>g</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:math>-contractions |
title_unstemmed | NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions |
topic | Analysis |
url | http://dx.doi.org/10.1155/2015/136306 |