Solutions of initial and boundary value problems via F-contraction mappings in metric-like space

Hemant Kumar Nashine; Dhananjay Gopal; Dilip Jain; Ahmed Al-Rawashdeh

doi:10.22075/ijnaa.2017.1725.1452

Solutions of initial and boundary value problems via F-contraction mappings in metric-like space

Hemant Kumar Nashine, Dhananjay Gopal, Dilip Jain, Ahmed Al-Rawashdeh

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self-distance is not necessarily zero. For this, first we introduce a Ćirić type generalized F-contraction and F-Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate our results, we give throughout the paper some examples.

Original language	English
Pages (from-to)	129-145
Number of pages	17
Journal	International Journal of Nonlinear Analysis and Applications
Volume	9
Issue number	1
DOIs	https://doi.org/10.22075/ijnaa.2017.1725.1452
Publication status	Published - Jun 1 2018

Keywords

Boundary value problem
F-contraction
Fixed point
Metric-like space

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.22075/ijnaa.2017.1725.1452

Cite this

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abstract = "We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self-distance is not necessarily zero. For this, first we introduce a {\'C}iri{\'c} type generalized F-contraction and F-Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate our results, we give throughout the paper some examples.",

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AU - Al-Rawashdeh, Ahmed

PY - 2018/6/1

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N2 - We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self-distance is not necessarily zero. For this, first we introduce a Ćirić type generalized F-contraction and F-Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate our results, we give throughout the paper some examples.

AB - We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self-distance is not necessarily zero. For this, first we introduce a Ćirić type generalized F-contraction and F-Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate our results, we give throughout the paper some examples.

KW - Boundary value problem

KW - F-contraction

KW - Fixed point

KW - Metric-like space

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Solutions of initial and boundary value problems via F-contraction mappings in metric-like space

Abstract

Keywords

ASJC Scopus subject areas

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