scholarly journals Some Integral Type Fixed Point Theorems for Non-Self-Mappings Satisfying Generalized(ψ,φ)-Weak Contractive Conditions in Symmetric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Marwan Amin Kutbi ◽  
Mohammad Imdad ◽  
Sunny Chauhan ◽  
Wutiphol Sintunavarat

The aim of this paper is to obtain some new integral type fixed point theorems for nonself weakly compatible mappings in symmetric spaces satisfying generalized(ψ,φ)-contractive conditions employing the common limit range property. We furnish some interesting examples which support our main theorems. Our results generalize and extend some recent results contained in Imdad et al. (2013) to symmetric spaces. Consequently, a host of metrical common fixed theorems are generalized and improved. In the process, we also derive a fixed point theorem for four finite families of mappings which can be utilized to derive common fixed point theorems involving any number of finite mappings.

Filomat ◽  
2014 ◽  
Vol 28 (6) ◽  
pp. 1113-1132 ◽  
Author(s):  
Mohammad Imdad ◽  
Anupam Sharma ◽  
Sunny Chauhan

The aim of this paper is to obtain some new common fixed point theorems for weakly compatible mappings in symmetric spaces satisfying an implicit function. Some illustrative examples to highlight the realized improvements are furnished. Our results generalize and extend some recent results contained in Ali and Imdad [Sarajevo J. Math. 4(17)(2008), 269-285] to symmetric spaces and consequently a host of metrical common fixed theorems are generalized and improved. We state an integral type fixed point theorem in symmetric space. In the process, we also derive a fixed point result on common fixed point in probabilistic symmetric spaces.


2020 ◽  
Vol 28 (1) ◽  
pp. 41-57
Author(s):  
Hakima Bouhadjera

AbstractIn this paper, we give some common fixed point theorems for a class of occasionally weakly compatible mappings satisfying contractive conditions of integral type. Our results generalize a host of previously theorems. We also present some illustrative examples which support our main results and show the applicability and validity of these results.


Filomat ◽  
2008 ◽  
Vol 22 (2) ◽  
pp. 99-107 ◽  
Author(s):  
Abdelkrim Aliouche ◽  
Valeriu Popa

We prove common fixed point theorems for four mappings satisfying implicit relations in symmetric spaces using the concept of occasionally weakly compatible mappings. Our Theorems generalize results of [1], [3], [4] and [7]. .


Author(s):  
E. Karapınar ◽  
D. K. Patel ◽  
M. Imdad ◽  
D. Gopal

We introduce a new class of mappings satisfying the “common limit range property” in symmetric spaces and utilize the same to establish common fixed point theorems for such mappings in symmetric spaces. Our results generalize and improve some recent results contained in the literature of metric fixed point theory. Some illustrative examples to highlight the realized improvements are also furnished.


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