Chatterjea and <inline-formula><math display="inline"><semantics><mover><mi mathvariant="bold">C</mi><mi mathvariant="bold">`</mi></mover></semantics></math></inline-formula>iri<inline-formula><math display="inline"><semantics><mover><mi mathvariant="bold">C</mi><mi mathvariant="bold">`</mi></mover></semantics></math></inline-formula> -Type Fixed-Point Theorems Using (<i>α</i> − <i>ψ</i>) Contraction on <i>C</i><sup>*</sup>-Algebra-Valued Metric Space
In the present paper, we provide and verify several results obtained by using the Chatterjea and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover><mi mathvariant="normal">C</mi><mi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-05-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/9/1615 |
| Summary: | In the present paper, we provide and verify several results obtained by using the Chatterjea and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover><mi mathvariant="normal">C</mi><mi>`</mi></mover></semantics></math></inline-formula>iri<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover><mi mathvariant="normal">c</mi><mo>`</mo></mover></semantics></math></inline-formula> fixed-point theorems by using <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>α</mi><mo>−</mo><mi>ψ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contractive mapping in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>C</mi><mo>*</mo></msup></semantics></math></inline-formula>-algebra-valued metric space. We provide some examples and an application to illustrate our results. Our study extends and generalizes the results of several studies in the literature. |
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| ISSN: | 2227-7390 |