Best proximity point theorems for contractive mappings
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0560-3
Abstract: This article is concerned with some new best proximity point theorems for principal cyclic contractive mappings, proximal cyclic contractive mappings, and proximal contractive mappings. As a consequence, an interesting fixed point theorem, due to Edelstein,… read more here.
Keywords: proximity point; point; contractive mappings; point theorems ... See more keywords
Fixed point theorems for multivalued and single-valued contractive mappings on Menger PM spaces with applications
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0594-6
Abstract: In this paper, by introducing multivalued $$(\alpha ,\eta )$$(α,η)–$$\psi $$ψ-contractive mappings, we obtain new fixed point theorems for multivalued and single-valued mappings and also coupled fixed point theorems in complete Menger PM and partially ordered… read more here.
Keywords: multivalued single; theorems multivalued; point; contractive mappings ... See more keywords
New Contractive Mappings and Solutions to Boundary-Value Problems in Triple-Controlled, Metric-Type Spaces
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DOI: 10.3390/sym14112270
Abstract: In this study, we utilize a notion of triple-controlled, metric-type spaces that preserves the symmetry property, which is a generalization of b-metric-type spaces, to prove new fixed-point results. We introduce (α-F)-contractive mappings and Θ-contractive mappings… read more here.
Keywords: triple controlled; type spaces; controlled metric; metric type ... See more keywords