Existence results for ABC-fractional BVP via new fixed point results of <i>F</i>-Lipschitzian mappings-Reference-Cited by-同舟云学术

Existence results for ABC-fractional BVP via new fixed point results of F-Lipschitzian mappings

Published:2022-01-01 Issue:1 Volume:55 Page:452-469
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Mehmood Nayyar¹,Khan Israr Ali²,Nawaz Muhammad Ayyaz³,Ahmad Niaz¹

Affiliation:

1. International Islamic University , H-10, Islamabad , Pakistan

2. Department of Mathematics, Namal University, Mianwali , 30 Km Talagang Rd , Mianwali 42250 , Pakistan

3. Islamabad Model College for Boys I-8/3 , Islamabad , Pakistan

Abstract

Abstract In this article, fixed point results for self-mappings in the setting of two metrics satisfying

-lipschitzian conditions of rational-type are proved, where

is considered as a semi-Wardowski function with constant

τ ∈ R

\tau \in {\mathbb{R}}

instead of

τ > 0

\tau \gt 0

. Two metrics have been considered, one as an incomplete while the other is orbitally complete. The mapping is taken to be orbitally continuous from one metric to another. Some examples are provided to validate our results. For applications, we present existence results for the solutions of a new type of ABC-fractional boundary value problem.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0028/pdf

Reference28 articles.

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5. R. Kannan, Some results on fixed points, Bull. Cal. Math. Soc. 60 (1968), 71–76.

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