SOME EXISTENCE AND UNIQUENESS THEOREMS ON ORDERED METRIC SPACES VIA GENERALIZED DISTANCES UNDER NEW CONTROL FUNCTIONS

DOI10.5831/HMJ.2016.38.3.553zbMath1353.54053MaRDI QIDQ2836192

Anupam Sharma, Arslan Hojat Ansari

Publication date: 7 December 2016

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

fixed point\(w\)-distancepartially ordered setaltering functionsorbitally continuousorbitally \(\mathcal{U}\)-continuous

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• Fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces
• The existence of fixed points for nonlinear contractive maps in metric spaces with \(w\)-distances
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Remarks on contractive conditions of integral type
• A fixed point theorem for mappings satisfying a general contractive condition of integral type
• A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type
• Some existence and uniqueness theorems on ordered metric spaces via generalized distances
• Fixed point results for single and set-valued \(\alpha\)-\(\eta\)-\(\psi\)-contractive mappings
• Fixed point theorems by altering distances between the points
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
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