Fixed point theorems with cyclical contractive conditions in $b$-Menger spaces

Mbarki, Abderrahim; Oubrahim, Rachid

doi:10.30697/rfpta-2018-005

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“…Furthermore, they defined the notion of fully convex structure and established in fully convex b-Menger spaces the existence of common fixed point for nonexpansive mapping by using the normal structure property (see [12]). Also, they showed a fixed point theorem in b-Menger spaces using B-contraction with cyclical conditions (see [13]).…”

Section: Introductionmentioning

confidence: 99%

PROBABILISTIC $\varphi$-CONTRACTION IN $b$-MENGER SPACES WITH FULLY CONVEX STRUCTURE

Mbarki¹,

Oubrahim²

2020

Int. J. of Appl. Math.

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Section: Introductionmentioning

confidence: 99%

PROBABILISTIC $\varphi$-CONTRACTION IN $b$-MENGER SPACES WITH FULLY CONVEX STRUCTURE

Mbarki¹,

Oubrahim²

2020

Int. J. of Appl. Math.

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“…Since then, many researchers have continued the investigation in this direction and obtained many more results concerning cyclic maps. For more details, one may refer to [5][6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Unification of the Fixed Point in Integral Type Metric Spaces

Panda¹,

Alamri

Hussain

et al. 2018

Symmetry

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In metric fixed point theory, the conditions like “symmetry” and “triangle inequality” play a predominant role. In this paper, we introduce a new kind of metric space by using symmetry, triangle inequality, and other conditions like self-distances are zero. In this paper, we introduce the weaker forms of integral type metric spaces, thereby we establish the existence of unique fixed point theorems. As usual, illustrations and counter examples are provided wherever necessary.

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Fixed point theorems with cyclical contractive conditions in $b$-Menger spaces

Cited by 2 publications

References 0 publications

PROBABILISTIC $\varphi$-CONTRACTION IN $b$-MENGER SPACES WITH FULLY CONVEX STRUCTURE

PROBABILISTIC $\varphi$-CONTRACTION IN $b$-MENGER SPACES WITH FULLY CONVEX STRUCTURE

Unification of the Fixed Point in Integral Type Metric Spaces

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