Some common fixed point results in ordered partial b-metric spaces
Copyright policy )Some common fixed point results in ordered partial b-metric spaces
Abstract In this paper, we introduce a modified version of ordered partial b-metric spaces. We demonstrate a fundamental lemma for the convergence of sequences in such spaces. Using this lemma, we prove some fixed point and common fixed point results for ( ψ , φ ) -weakly contractive mappings in the setup of ordered partial b-metric spaces. Finally, examples are presented to verify the effectiveness and applicability of our main results. MSC: 47H10, 54H25.
- Islamic Azad University, Tehran Iran (Islamic Republic of)
- University of Belgrade Serbia
- Hashemite University Jordan
- Islamic Azad University of Kermanshah Iran (Islamic Republic of)
- Islamic Azad University Janah Iran (Islamic Republic of)
Metric (unit), Economics, Geometry, Cone Metric Spaces, Poaceae, Mathematical analysis, Metric Spaces, Fixed Point Theorems in Metric Spaces, Point (geometry), FOS: Mathematics, Discrete Mathematics and Combinatorics, Biology, Economic growth, Ecology, Fixed Point Theorems, Applied Mathematics, Fixed point, Discrete mathematics, Partial Ordering, Lemma (botany), Operations management, Contractive Mappings, FOS: Biological sciences, Physical Sciences, Convergence (economics), Geometry and Topology, Metric space, Analysis, Mathematics
Metric (unit), Economics, Geometry, Cone Metric Spaces, Poaceae, Mathematical analysis, Metric Spaces, Fixed Point Theorems in Metric Spaces, Point (geometry), FOS: Mathematics, Discrete Mathematics and Combinatorics, Biology, Economic growth, Ecology, Fixed Point Theorems, Applied Mathematics, Fixed point, Discrete mathematics, Partial Ordering, Lemma (botany), Operations management, Contractive Mappings, FOS: Biological sciences, Physical Sciences, Convergence (economics), Geometry and Topology, Metric space, Analysis, Mathematics
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