FIXED POINT THEOREMS FOR MULTIVALUED NON-LINEAR <i>F</i>-CONTRACTIONS ON QUASI METRIC SPACES WITH AN APPLICATION

Mohammad Imdad; Atiya Perveen; Waleed M. Alfaqih

doi:10.11948/2156-907X.20180149

2019 Volume 9 Issue 3

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Mohammad Imdad, Atiya Perveen, Waleed M. Alfaqih. FIXED POINT THEOREMS FOR MULTIVALUED NON-LINEAR F-CONTRACTIONS ON QUASI METRIC SPACES WITH AN APPLICATION[J]. Journal of Applied Analysis & Computation, 2019, 9(3): 901-915. doi: 10.11948/2156-907X.20180149

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Mohammad Imdad, Atiya Perveen, Waleed M. Alfaqih. FIXED POINT THEOREMS FOR MULTIVALUED NON-LINEAR F-CONTRACTIONS ON QUASI METRIC SPACES WITH AN APPLICATION[J]. Journal of Applied Analysis & Computation, 2019, 9(3): 901-915. doi: 10.11948/2156-907X.20180149

FIXED POINT THEOREMS FOR MULTIVALUED NON-LINEAR F-CONTRACTIONS ON QUASI METRIC SPACES WITH AN APPLICATION

1.
Department of mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, 202002, India

Author Bio: Email address: mhimdad@gmail.com(M. Imdad); Email address: waleedmohd2016@gmail.com (W. M. Alfaqih)
Corresponding author: Email address: atiyaperveen2@gmail.com(A. Perveen)

Abstract

Abstract

In this paper, we introduce $(\alpha,\beta)$-type $F-\tau$ contraction and utilize the same to prove some fixed point results for multivalued mappings in quasi metric spaces. Furthermore, we furnish with some examples to exhibit the utility of our results. As an application, we establish the existence of a solution for a non-linear integral equation.
- Quasi metric space /
- left $\mathcal{K}$-completeness /
- left $\mathcal{M}$-completeness /
- $(\alpha,\beta)$-type $F-\tau$ contraction
MSC: 54H25, 47H10

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