A GENERAL COMMON FIXED POINT THEOREM FOR TWO PAIRS OF MAPPINGS IN METRIC SPACES

DOI10.5831/HMJ.2018.40.1.13zbMath1396.54044OpenAlexW2890305794MaRDI QIDQ3177659

Valeriu Popa, Alina-Mihaela Patriciu

Publication date: 1 August 2018

Full work available at URL: http://www.ndsl.kr/soc_img/society/hmsk/HNSHCY/2018/v40n1/HNSHCY_2018_v40n1_13.pdf

zbMATH Keywords

subcompatible mappingsimplicit relationreciprocally continuous mappingsaltering distancesubsequentially continuous mappings

Mathematics Subject Classification ID

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

Related Items (1)

Coupled fixed point theorems on FLM algebras

Cites Work

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• Some coincidence point theorems for nonlinear contraction in ordered metric spaces
• Common fixed point theorems for dominating and weak annihilator mappings in ordered metric spaces
• A fixed point theorem for mappings satisfying a general contractive condition of integral type
• A common fixed point theorem in metric space under general contractive condition
• Compatible mapping and common fixed points
• Discontinuity and fixed points
• Fixed points of weakly compatible mappings satisfying generalized \(\varphi\)-weak contractions
• Common fixed point theorems for four mappings in complete metric spaces
• Some integral type fixed-point theorems and an application to systems of functional equations
• Fixed point theorems by altering distances between the points
• Fixed Point Theorems for Mappings with a Contractive Iterate at a Point
• SOME FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS SATISFYING AN IMPLICIT RELATION

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