Random Coincidence Point Research Articles

Some Common Random Fixed Points Theorems Of Generalized ϕ – Weakly Contractive Random Operators in Metric Spaces and Random Well-Posed

In this paper, firstly, we prove the existence of random coincidence points for general ϕ – weakly contraction condition under two pairs of random operators in metric spaces X, where ϕ is continuous monotone real function. As applications related common random fixed point results are proved and the well-posed random fixed point problem is studied.

Stability and Strong Convergence Results for Random Jungck-Kirk-Noor Iterative Scheme

AbstractThe purpose of this study is to introduce a Jungck- Kirk-Noor type random iterative scheme and prove stability and strong convergence of this to establish a general theorem to approximate the unique common random coincidence point for two or more nonself random commuting mappings under general contractive condition in various spaces. Also we give the stability and convergence for random Jungck-Kirk-Ishikawa and random Jungck-Kirk-Mann as a corollaries. The results obtained in this paper improve the corresponding results announced recently.

Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras

Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras

Random quadruple coincidence points theorems for sequence of random mappings and application

Random quadruple coincidence points theorems for sequence of random mappings and application

Some results on random coincidence points of completely random operators

The purpose of this paper is to examine the notion of completely random operators and to present some results on the existence of random coincidence points of completely random operators. Some applications to random fixed point theorems and random equations are given.

Coincidence point theorems for multivalued f-weak contraction mappings and applications

We prove the existence of coincidence points and common fixed points for multivalued f-weak contraction mappings which assume closed values only. As an application, related common fixed point, invariant approximation, random coincidence point and random invariant approximation results are also obtained. Our results provide extensions as well as substantial improvements of several well known results in the existing literature.

Random coincidence theorems and applications

In this article we state conditions under which the existence of deterministic coincidence points of two multivalued random functions implies the existence of random coincidence points. Moreover, two existence results of measurable selections are obtained for the intersection of the multivalued function evaluated at the random coincidence point. Our results extend or improve some theorems in the literature.

On random equations and applications to random fixed point theorems

In this paper, some theorems on the equivalence between the solvability of a random operator equation and the solvability of a deterministic operator equation are presented. As applications and illustrations, some results on random fixed points and random coincidence points in the literature are obtained or extended.

Random coincidence points, invariant approximation theorems, nonstarshaped domain and q-normed spaces

We present coincidence points results satisfying a generalized contractive condition in the setting of a nonstarshaped domain of a q-normed space which is not necessarily a locally convex space. Invariant approximation results are also obtained as application.

RANDOM COINCIDENCE AND FIXED POINTS FOR WEAKLY COMPATIBLE MAPPINGS IN CONVEX METRIC SPACES

Some new theorems on random coincidence points and random fixed points for weakly compatible mappings in convex separable complete metric spaces have been established. These results generalize some recent well known comparable results in the literature.

RANDOM COINCIDENCE POINTS AND RANDOM FIXED POINTS OF MULTIFUNCTIONS IN METRIC SPACES

In this paper, we present some new random coincidence point and random fixed point theorems for multifunctions in separable complete metric spaces, which improve some existing results in the literature (even some results in the non-random case).

RANDOM COINCIDENCE POINTS AND RANDOM FIXED POINTS OF MULTIFUNCTIONS IN METRIC SPACES

In this paper, we present some new random coincidence point and random fixed point theorems for multifunctions in separable complete metric spaces, which improve some existing results in the literature (even some results in the non-random case).

Coincidence points, generalized [formula omitted]-nonexpansive multimaps, and applications

We establish coincidence point results for multimaps satisfying generalized I -nonexpansive type conditions. Several invariant approximation results are obtained as applications. A random coincidence point result is also proved and, as applications, random invariant approximation results are obtained. Our results unify, extend and complement several well-known results.

Coincidence and invariant approximation theorems for generalizedf‐nonexpansive multivalued mappings

The main purpose of this paper is to prove some new coincidence and common fixed point theorems for noncommuting generalized f‐nonexpansive multivalued mappings on non‐starshaped domain in the framework of a Banach space. As applications, related common fixed point, invariant approximation, and random coincidence point results are established. This work provides extension as well as substantial improvement of several results in the existing literature.

Deterministic and random coincidence point results for f-nonexpansive maps

Some deterministic and random coincidence theorems for f-nonexpansive maps are obtained. As applications, invariant approximation theorems are derived. Our results unify, extend and complement various known results existing in the literature.

On random coincidence point theorems

Some random coincidence point theorems are proved. The results of Benavides et al. [< i> Random fixed points of set-valued operators< /i> , Proc. Amer. Math. Soc. < b> 124< /b> (1996), 831–838], Itoh [< i> Random fixed point theorems with an application to random differential equations in Banach spaces< /i> , J. Math. Anal. Appl. < b> 67< /b> (1979), 261–273], Shahzad and Latif [< i> A random coincidence point theorem< /i> , J. Math. Anal. Appl. < b> 245< /b> (2000), 633–638], Tan and Yuan [< i> Random fixed point theorems and approximation< /i> , Stochastic Anal. Appl. < b> 15< /b> (1997), 103–123] and Xu [< i> Some random fixed point theorems for condensing and nonexpansive operators< /i> , Proc. Amer. Math. Soc. < b> 110< /b> (1990), 495–500] are either extended or improved.

Random fixed point theorems for contractive type multifunctions

AbstractSome new random coincidence point and random fixed point theorems for multivalued mappings in separable complete metric spaces are proved. The results presented in this paper are the stochastic versions of corresponding results of Chang and Peng and extend the result of the author.

Random Coincidence Point Theorem in Fréchet Spaces with Applications

We proved a random coincidence point theorem for a pair of commuting random operators in the setup of Fréchet spaces. As applications, we obtained random fixed point and best approximation results for *-nonexpansive multivalued maps. Our results are generalizations or stochastic versions of the corresponding results of Shahzad and Latif [Shahzad, N.; Latif, A. A random coincidence point theorem. J. Math. Anal. Appl. 2000, 245, 633–638], Khan and Hussain [Khan, A.R.; Hussain, N. Best approximation and fixed point results. Indian J. Pure Appl. Math. 2000, 31 (8), 983–987], Tan and Yaun [Tan, K.K.; Yaun, X.Z. Random fixed point theorems and approximation. Stoch. Anal. Appl. 1997, 15 (1), 103–123] and Xu [Xu, H.K. On weakly nonexpansive and *-nonexpansive multivalued mappings. Math. Japon. 1991, 36 (3), 441–445].

A Random Coincidence Point Theorem

We prove a random coincidence point theorem for a pair of commuting random operators which extends results due to T. D. Benavides et al. (1996, Proc. Amer. Math. Soc.124, 831–838), S. Itoh (1979, J. Math. Anal. Appl.67, 261–273), K. K. Tan and X. Z. Yuan (1997, Stochastic Anal. Appl.15, 103–123), and H. K. Xu (1990, Proc. Amer. Math. Soc.110, 495–500). We also derive a common random point theorem.

A principle of randomization for coincidence points with applications

In this paper, a randomizing theorem of coincidence points for set-valued mappings is shown. As applications, we utilize this result to obtain some new random coincidence points theorems.