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NewPPFDependent Fixed Point Theorems for Suzuki TypeGF-Contractions

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Bibliographische Detailangaben
Zeitschriftentitel: Journal of Function Spaces
Personen und Körperschaften: Kutbi, M. A., Hussain, N., Khaleghizadeh, S.
In: Journal of Function Spaces, 2015, 2015, S. 1-13
Format: E-Article
Sprache: Englisch
veröffentlicht:
Hindawi Limited
Schlagwörter:
Analysis
Details
Zusammenfassung: <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>
Umfang: 1-13
ISSN: 2314-8896
2314-8888
DOI: 10.1155/2015/136306