Asaye Ayele

Search this author in Google Scholar

Articles: 2

Fixed point results of a generalized modified $F-$contraction via rectangular $G-\alpha$-admissible mapping with application

MFAT 32 (2026), no. 2, 97-115

97-115

In this paper, we introduce the notion of a generalized modified $F-$con\-traction via rectangular $G-\alpha-$admissible mapping and establish some new fixed point results under Wardowski's $F-$contractive condition $(F1)$ together with an auxiliary function $\phi$ in the setting of $G-$metric spaces. Our new fixed point results improve, generalize and unify several related result in the existing literature. Moreover, we give some non-trivial examples to verify our results. Finally, we derive the existence of a solution to an integral equation to support our main findings.

New best proximity point results for generalized multivalued $F-$proximal contractions in partial metric spaces with application

Asaye Ayele, Kidane Koyas

↓ Abstract | Article (.pdf)

MFAT 32 (2026), no. 1, 35-52

35-52

In this paper, we introduce generalized multivalued $F-$proximal contraction mappings within the partial metric spaces framework and establish best proximity point results for such mappings. The best proximity point theorem for multivalued $F-$proximal contraction mappings involving $\alpha-$admissibility is also obtained. Several related results in the literature are unified and generalized by our new best proximity point results. We also provide nontrivial examples to support our findings. Finally, we derive an existence of a solution to an integral equation that validates our finding.

All Issues

2026 1 2
2025 1 2 3 4
2024 1-2 3-4
2023 1-2 3-4
2022 1 2 3 4
2021 1 2 3 4
2020 1 2 3 4
2019 1 2 3 4
2018 1 2 3 4
2017 1 2 3 4
2016 1 2 3 4
2015 1 2 3 4
2014 1 2 3 4
2013 1 2 3 4
2012 1 2 3 4
2011 1 2 3 4
2010 1 2 3 4
2009 1 2 3 4
2008 1 2 3 4
2007 1 2 3 4
2006 1 2 3 4
2005 1 2 3 4
2004 1 2 3 4
2003 1 2 3 4
2002 1 2 3 4
2001 1 2 3 4
2000 1 2 3 4
1999 1 2 3 4
1998 1 2 3 4
1997 1 2 3 4
1996 1 2 3
1995 1