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Compatible mappings and common fixed points [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
A generalization of the commuting mapping concept is introduced. Properties of this “weakened commutativity” are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others.
Gerald Jungck
doaj   +3 more sources

Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space [PDF]

open access: yesSahand Communications in Mathematical Analysis
This manuscript introduces and investigates various types of mappings in the context of a $C^*$-algebra valued metric space. These include conditionally compatible, non-compatible, and faintly compatible mappings. Additionally, the manuscript establishes
Rishi Dhariwal, Deepak Kumar
doaj   +2 more sources

Common fixed point theorems for compatible mappings [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Kenan Taş   +2 more
doaj   +5 more sources

Compatible mappings and common fixed points “revisited” [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
A fixed point theorem involving a Meir-Keeler type contraction principle is refined by diminishing continuity requirements.
Gerald Jungck
doaj   +3 more sources

Common fixed points of compatible mappings [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
In this paper, we present a common fixed point theorem for compatible mappings, which extends the results of Ding, Diviccaro-Sessa and the third author.
S. M. Kang, Y. J. Cho, G. Jungck
doaj   +2 more sources

Fixed Point Theorem of Weak Compatible Maps of Type (γ) in Neutrosophic Metric Space [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
In this paper, we give definitions of compatible mappings of type (γ) in neutrosophic metric space, and obtain a common fixed point theorem under the conditions of weakly compatible mappings of type (γ) in complete neutrosophic metric spaces.
A.N. Mangayarkkarasi   +3 more
doaj   +1 more source

Common fixed point theorem for weakly compatible mappings in Sm metric space

open access: yesRatio Mathematica, 2023
In the present paper, at first, we study the structure of the newly Smmetric space, which is a union of S-metric space and multiplicative metric space with new contraction condition.
Mallaiah Katta, Srinivas Veladi
doaj   +1 more source

Common fixed points under strict conditions [PDF]

open access: yesMathematica Moravica, 2020
In this contribution, three new concepts called reciprocally continuous, strictly subweakly compatible and strictly subreciprocally continuous single and multivalued mappings are given for obtention some common fixed point theorems in a metric space. Our
Bouhadjera Hakima   +2 more
doaj   +1 more source

Modality-specific effects of mental fatigue in multitasking

open access: yesActa Psychologica, 2022
The mechanisms underlying increased dual-task costs in the comparison of modality compatible stimulus-response mappings (e.g., visual-manual, auditory-vocal) and modality incompatible mappings (e.g., visual-vocal, auditory-manual) remain elusive.
Marie Mueckstein   +5 more
doaj   +1 more source

Weakly compatible fixed point theorem in intuitionistic fuzzy metric spaces

open access: yesAIP Advances, 2023
This study presents fundamental theorems, lemmas, and mapping definitions. There are three types of mappings: binary operators, compatible mappings, and sequentially continuous mappings.
Chen Yue   +6 more
doaj   +1 more source

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