Related fixed point theorems on two complete and compact metric spaces

Namdeo, R. K.; Tiwari, Neeta; Fisher, Brian; Taş, Kenan

doi:10.1155/s0161171298000775

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2024

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Cited by 5 publications

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“…In 1994, Namdeo et al [9] proved the following: Theorem 1.1. Let (X, d) and (Y, ρ) be two complete metric spaces, T : X → Y and S : Y → X mappings satisfying the following equations:…”

Section: Introductionmentioning

confidence: 98%

A Related Fixed Point Theorem for F-Contractions on Two Metric Spaces

Olgun¹,

Biçer²,

Alyıldız³

et al. 2017

HJMS

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“…In 1994, Namdeo et al [9] proved the following: Theorem 1.1. Let (X, d) and (Y, ρ) be two complete metric spaces, T : X → Y and S : Y → X mappings satisfying the following equations:…”

Section: Introductionmentioning

confidence: 98%

A Related Fixed Point Theorem for F-Contractions on Two Metric Spaces

Olgun¹,

Biçer²,

Alyıldız³

et al. 2017

HJMS

View full text Add to dashboard Cite

show abstract

“…This theorem is the initial related fixed point result involving two mappings on two complete metric spaces. Several authors [10][11][12][13][14][15][16][17] have established various types of this theorem in many different directions.…”

Section: Introductionmentioning

confidence: 99%

Some Results on Related Fixed Point Theorems in Two $S$-Metric Spaces

Karayılan

2024

Journal of New Theory

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In this study, by considering the technique in the theorem of Bollenbacher and Hicks, we obtain some related fixed point theorems involving two mappings on two related complete $S$-metric spaces with certain conditions. As the applications of the main theorem, we then derive some new related fixed point theorems involving a pair of mappings in such spaces. We finally discuss the need for further research.

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“…In 1982 Fisher [6] studied some related fixed point theorems on two metric spaces. Since many authors such as Aliouche and Fisher [1] , R. K. Namdeo, S. Jain, B. Fisher [18] , Telci [17] and others proved some related fixed point theorems in 2-metric and fuzzy metric spaces. S. Sharma [21] proved a common fixed point theorem for three mappings in fuzzy 2-metric spaces.…”

Section: Introductionmentioning

confidence: 99%

Relative Asymptotic Regularity and Fixed Points in Fuzzy 2-Metric Spaces

Kumar¹,

Arora²

2016

IJCA

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In this paper, we established fixed point theorems for two and three self-maps of a complete fuzzy 2-metric space. The contractive definition is a generalization of Hardy-Rogers and the commuting condition of Jungck is replaced by the concept of weakly commuting. The notion of relative asymptotic regularity of a sequence in a fuzzy 2-metric space is introduced and fixed point theorems for two and three selfmappings of a complete fuzzy 2-metric space is proved. Further, a result for a pair of weakly commuting mappings and relative asymptotically regular sequence is presented in complete fuzzy 2-metric space.

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Related fixed point theorems on two complete and compact metric spaces

Abstract: ABSTRACT. A new related fixed point theorem on two complete metric spaces is obtained generalization is given for two compact metric spaces

Cited by 5 publications

References 0 publications

A Related Fixed Point Theorem for F-Contractions on Two Metric Spaces

A Related Fixed Point Theorem for F-Contractions on Two Metric Spaces

Some Results on Related Fixed Point Theorems in Two $S$-Metric Spaces

Relative Asymptotic Regularity and Fixed Points in Fuzzy 2-Metric Spaces

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