Point Theorems For Expansive Mappings Research Articles

Fixed Point Theorems for Expansion Mappings in Sequentially Complete Quasi-Gauge Function Space

Fixed Point Theorems for Expansion Mappings in Sequentially Complete Quasi-Gauge Function Space

Inverse-C-class function on weak semi compatibility and fixed point theorems for expansive mappings in G-metric spaces

Inverse-C-class function on weak semi compatibility and fixed point theorems for expansive mappings in G-metric spaces

On Some Fixed Point Theorems for Expansive Mappings in Dislocated Cone Metric Spaces with Banach Algebras

On Some Fixed Point Theorems for Expansive Mappings in Dislocated Cone Metric Spaces with Banach Algebras

SOME FIXED POINT THEOREMS IN FUZZY METRIC SPACE FOR EXPANSION MAPPINGS

In this paper some fixed point theorems for expansion mappings in fuzzy metric spaces are proved under different conditions. AMS Subject Classification: 47 H10, 54H25

Some Fixed Point Theorems for Expansive Mappings in Cone Pentagonal Metric Spaces

In this paper, we prove some xed point theorems for mappings satisfying expansive conditions in non-normal cone pentagonal metric spaces. Our results extend and improve the recent results announced by Patil and Salunke [Fixed point theorems for Expansion mappings in Cone rectangular metric spaces, Gen. Math. Notes, 29(1), (2015), 30-39], Shatanawi and Awawdeh, [Some xed and coincidence point theorems for Expansive maps in Cone metric spaces, Fixed Point Theory and Applications, 1(2012), 1-10], Huang, Zhu and Wen, [Fixed point theorems for Expanding mappings in Cone metric spaces, Math. Reports 14(64), 2(2012), 141-148], Kadelburg, Murthy and Radenovic, [Common xed points for Expansive mappings in Cone metric spaces, Int. J. Math. Anal, 5(27), (2011), 1309-1319], Aage and Salunke, [Some xed point theorems for Expansion onto mappings on Cone metric spaces, Acta Mathematica Sinica, 27(6), (2011), 1101-1106], Kumar and Garg, [Common xed points for Expansion mappings Theorems in metric spaces, Int. J. Contemp. Math. Sciences, 4(36), (2009), 1749-1758], and many others in the literature.

Common fixed point theorems for expansive mappings via an implicit relation

Common fixed point theorems for expansive mappings via an implicit relation

Fixed point theorems for expansive mappings in Gp-metric spaces

In the present paper, we adopt the concept of expansive mapping in the context of Gp-metric spaces in a similar manner expansive mapping in metric spaces. Furthermore, we obtain some results on fixed points of expansive type mappings. Also, we prove some common fixed point results for expansive mappings by using the notion of weak compatibility in Gp-metric space. Our results generalize some comparable results in metric spaces and partial metric spaces to Gp-metric spaces. Moreover, some examples are introduced in order to support our new results.

On common fixed points in generalized Menger spaces

R. Vasuki [1] proved fixed point theorems for expansive mappings in Menger spaces. R. Gujetiya and et al [2] presented an extension of the main result of Vasuki, for four expansive mappings in Menger space. In this article, an important lemma is given to prove that the iteration sequence is Cauchy under suitable condition in Menger probabilistic G-metric space (shortly, MPGM-space). And then, used to obtain three common fixed point theorems for expansive type mappings.

Unified common fixed point theorems for expansive mappings via common limit range property in cone metric spaces

In this article, the notions of common limit range property CLRST and common property E.A. for expansive mappings are utilized to prove some unified common fixed point theorems in cone metric spaces. Some illustrative examples are furnished with substantiate the validity of our results. Our results improve and generalize some results from the literature in this setting.

Erratum to: Common fixed point theorems for expansion mappings in various spaces

We prove Theorem 1.3 of [2] under a more general situation and rectify some typographic errors that appear in the paper.

Erratum to ‘Common fixed point theorems for expansion mappings in various abstract spaces using concept of weak reciprocal continuity’

*Correspondence: sauravmanro@hotmail.com 1School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India Full list of author information is available at the end of the article On critical examination of the results given in our paper [], we notice one crucial error. We need to carry out the following correction. Example  given in paper [] is wrong as g(X) ⊂ f (X) because f (X) = {, } and g(X) = [, ]. So, Example  in paper [] is replaced by the following example.

Coincidence and fixed point theorems for expansive maps in d−metric spaces

In this paper, we establish some common fixed point and common coincidence point theorems for expansive type mappings in the setting of dislocated metric spaces. Also, we introduce some examples to support the validity of our results. The presented results extend and complement some known existence results from the literature.

Common fixed point theorems for expansion mappings in various abstract spaces using the concept of weak reciprocal continuity

In this paper, we prove expansion mapping theorems using the concept of compatible maps, weakly reciprocal continuity, R-weakly commuting mappings, R-weakly commuting of type ( A f ) Open image in new window, ( A g ) Open image in new window and ( P ) Open image in new window in metric spaces and in G-metric spaces.

Some fixed and coincidence point theorems for expansive maps in cone metric spaces

In this article, we establish some common fixed and common coincidence point theorems for expansive type mappings in the setting of cone metric spaces. Our results extend some known results in metric spaces to cone metric spaces. Also, we introduce some examples the support the validity of our results.Mathematics Subject Classification: 54H25; 47H10; 54E50.

Impact of occasionally weakly compatible property on common fixed point theorems for expansive mappings

A general common fixed point theorem for two pairs of occasionally weak compatible expansive mappings satisfying a significantly enriched implicit function is proved in symmetric spaces which generalizes several previously known results. Some related results and illustrative examples are also discussed.

Common fixed point theorems for expansion mappings in various spaces

We prove expansion mappings theorems in various spaces i.e., metric spaces, generalized metric spaces, probabilistic metric spaces and fuzzy metric spaces, which generalize the results of various authors like Daffer and Kaneko [11], Ahmad, Ashraf and Rhoades [1], Vasuki [38], Rhoades [31] and Wang, Li, Gao and Iseki [40] etc.

Fixed point theorems for expansion mappings satisfying implicit relations

In this note a fixed point theorem for expansion mappings is established in a complete metric space under certain conditions. Further a common fixed point theorem for pair of weakly compatible expansion mappings is established. In this theorem the completeness of space is replaced with a set of four alternative conditions for functions satisfying implicit relations. These theorems extend and improve results of S. M. Kang [4], M. A. Khan et al. [5] B. E. Rhoades [11] and T. Taniguchi [12].

Some fixed points of expansion mappings

Wang et al. [11] proved some fixed point theorems on expansion mappings, which correspond some contractive mappings. Recently, several authors generalized their results by some ways.In this paper, we give some fixed point theorems for expansion mappings, which improve the results of some authors.