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UNIQUE COMMON FIXED POINTS FOR MAPPINGS SATISFYING CONTRACTIVE CONDITIONS ON W-SPACES

Piao Yong-jie, Jin Yuexi

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Abstract

Three classesφ,Ψand L of real functions are introduced and three mappings satisfying some contractive conditions are considered.By using the converse commuting property of mappings or the condition that mappings have a commuting point on W-spaces, several unique common fixed point theorems are obtained and their particular conclusions arc also given.The obtained results generalize and improve some existing conclusions.

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What this paper is about

Three classesφ,Ψand L of real functions are introduced and three mappings satisfying some contractive conditions are considered.By using the converse commuting property of mappings or the condition that mappings have a commuting point on W-spaces, several unique common fixed point theorems are obtained and their particular conclusions arc also given.The obtained results generalize and improve some existing conclusions.

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Available abstract

Three classesφ,Ψand L of real functions are introduced and three mappings satisfying some contractive conditions are considered.By using the converse commuting property of mappings or the condition that mappings have a commuting point on W-spaces, several unique common fixed point theorems are obtained and their particular conclusions arc also given.The obtained results generalize and improve some existing conclusions.

Key concepts: Mathematics, Converse, Fixed point, Coincidence point, Property (philosophy), Pure mathematics, Arc (geometry), Point (geometry)

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UNIQUE COMMON FIXED POINTS FOR MAPPINGS SATISFYING CONTRACTIVE CONDITIONS ON W-SPACES — Research Paper | ScholarLens