Infra Soft Compact Spaces and Application to Fixed Point Theorem

Infra soft topology is one of the recent generalizations of soft topology which is closed under finite intersection. Herein, we contribute to this structure by presenting two kinds of soft covering properties, namely, infra soft compact and infra soft Lindelöf spaces. We describe them using a family of infra soft closed sets and display their main properties. With the assistance of examples, we mention some classical topological properties that are invalid in the frame of infra soft topology and determine under which condition they are valid. We focus on studying the “transmission” of these concepts between infra soft topology and classical infra topology which helps us to discover the behaviours of these concepts in infra soft topology using their counterparts in classical infra topology and vice versa. Among the obtained results, these concepts are closed under infra soft homeomorphisms and finite product of soft spaces. Finally, we introduce the concept of fixed soft points and reveal main characterizations, especially those induced from infra soft compact spaces.

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On Some Applications of Kakutani’s Fixed Point Theorem in Game Theory

Journal of Mathematical Sciences Advances and Applications ◽

10.18642/jmsaa_7100122205 ◽

2021 ◽

Vol 66 (1) ◽

pp. 49-69

Author(s):

Md. Alamgir Hossain ◽

◽

Md. Zulfikar Ali ◽

Md. Asaduzzaman ◽

Md. Sazzad Hossain ◽

...

Keyword(s):

Game Theory ◽

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Research Work ◽

Topological Properties ◽

Set Functions ◽

Brouwer’S Fixed Point Theorem ◽

Effective Role ◽

Brouwer's Fixed Point Theorem

In this paper, we discuss some major applications of Kakutani’s fixed point theorem in game theory. In the course of research work we mostly use the idea of mathematical set, functions, topological properties and Brouwer’s fixed point theorem to make the Kakutani’s fixed point theorem more conspicuous. In the key point of idea, we include how this theory can play the effective role to highlight new fixed point results and their applications in different fields of game theory.

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Theta Cone Metric Spaces and Some Fixed Point Theorems

Journal of Mathematics ◽

10.1155/2020/8895568 ◽

2020 ◽

Vol 2020 ◽

pp. 1-7

Author(s):

Sahar Mohamed Ali Abou Bakr

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Topological Properties ◽

Cone Metric Spaces ◽

Cone Metric

This paper introduces the concept of the theta cone metric, studies its various topological properties, and gives some examples of it. Furthermore, it proves some lemmas and then uses them to give further generalizations of some well-known fixed point theorems. Specifically, Theorem 2 of the paper is a generalization of Reich’s fixed point theorem.

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Some fixed point theorems for multi-valued mappings in graphical metric spaces

Mathematica Slovaca ◽

10.1515/ms-2017-0385 ◽

2020 ◽

Vol 70 (3) ◽

pp. 719-732

Author(s):

Satish Shukla ◽

Hans-Peter A. Künzi

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Topological Properties ◽

Nadler’S Fixed Point Theorem

AbstractIn this paper, we discuss some topological properties of graphical metric spaces and introduce the G-set metric with respect to a graphical metric. Some fixed point results are introduced which generalize the famous Nadler’s fixed point theorem.

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Topological Structure of Quasi-Partial b-Metric Spaces

International Journal of Pure Mathematical Sciences ◽

10.18052/www.scipress.com/ijpms.17.8 ◽

2016 ◽

Vol 17 ◽

pp. 8-18 ◽

Cited By ~ 1

Author(s):

Anuradha Gupta ◽

Pragati Gautam

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Metric Space ◽

Topological Structure ◽

Metric Spaces ◽

Coupled Fixed Point ◽

Topological Properties ◽

Coupled Fixed Point Theorem ◽

Metric Topology

In this paper we discuss the topological properties of quasi-partialb-metric spaces. The notion of quasi-partialb-metric space was introduced and fixed point theorem and coupled fixed point theorem on this space were studied. Here the concept of quasi-partialb-metric topology is discussed and notion of product of quasi-partialb-metric spaces is also introduced.

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A generalization of Matkowski’s and Suzuki’s fixed point theorems

Asian-European Journal of Mathematics ◽

10.1142/s1793557122501698 ◽

2021 ◽

Author(s):

Deepak Khantwal ◽

Surbhi Aneja ◽

U. C. Gairola

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Contraction Principle ◽

Finite Product ◽

Matkowski Contraction

In this paper, we present a generalization of Suzuki’s fixed point theorem and the Matkowski contraction principle for a system of transformations on the finite product of metric spaces.

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