Hybrid Pair Of Mappings Research Articles

Rhoades type fixed point theorems for two hybrid pairs of mappings in metrically convex spaces

The present paper establishes some common fixed point theorems for two hybrid pairs of nonself mappings defined on a closed subset of a metrically convex metric spaces, which generalizes completely or partially some earlier results due to Rhoades, Ćirić and Ume and many others. Some related results and an illustrative example are also discussed.

Fixed point theorems for noncompatible, discontinuous hybrid pairs of mappings on 2-metric spaces

Abstract In this paper, we prove some fixed point theorems for two hybrid pairs of mappings in 2-metric spaces by using some weaker conditions.

Hybrid pairs of mappings with some weaker conditions in consideration of common fixed point on 2-metric spaces

Hybrid pairs of mappings with some weaker conditions in consideration of common fixed point on 2-metric spaces

Coupled Coincidence and Common Fixed Point Theorems for Set-valued and Single-valued Mappings in fuzzy Metric Space

In this paper, we define the tangential property and the generalized coincidence property for a pair of set-valued and single-valued mappings and use it to prove some coupled coincidence and common fixed point theorems for a hybrid pair of mappings without appeal to the completeness of the underlying space.

A Unique Common Triple Fixed Point Theorem for Hybrid Pair of Maps

We obtain a unique common triple fixed point theorem for hybrid pair of mappings in metric spaces. Our result extends the recent results of B. Samet and C. Vetro (2011). We also introduced a suitable example supporting our result.

Common fixed point results for two new classes of hybrid pairs in symmetric spaces

Abstract Some common fixed point theorems due to Abbas and Khan [M. Abbas, A.R. Khan, Common fixed points of generalized contractive hybrid pairs in symmetric spaces, Fixed Point Theor. Appl. 2009 (2009) 11, Article ID 869407, doi:10.1155/2009/869407 ], and Abbas and Rhoades [M. Abbas, B.E. Rhoades, Common fixed point theorems for hybrid pairs of occasionally weakly compatible mappings defined on symmetric spaces, Pan. Amer. Math. J. 18 (1) (2008) 55–62] are proved for two new classes of hybrid pair of mappings which contain occasionally weakly compatible hybrid pairs as a proper subclass. Consequently, some results proved by Hussain et al. [N. Hussain, M.A. Khamsi, A. Latif, Common fixed points for JH -operators and occasionally weakly biased pairs under relaxed conditions, Nonlinear Anal. 74 (2011) 2133–2140], Bhatt et al. [A. Bhatt, et al., Common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions, Nonlinear Anal. 73 (2010) 176–182] and many others are extended to hybrid pair of mappings. Examples are also presented to support the concepts defined in the paper.

Rhoades type fixed point theorems for two hybrid pairs of mappings in metrically convex spaces

A result on common fixed points for two hybrid pairs of mappings is proved without continuity and commutativity requirements which either partially or completely generalize several earlier results due to Ahmed and Rhoades (2001) [6], Rhoades (1997) [5] and some others. An illustrative example is furnished besides deriving some related results.

Fixed point theorems for a family of hybrid pairs of mappings in metrically convex spaces

The present paper establishes some coincidence and common fixed point theorems for a sequence of hybrid-type nonself-mappings defined on a closed subset of a metrically convex metric space. Our results generalize some earlier results due to Khan et al. (2000), Itoh (1977), Khan (1981), Ahmad and Imdad (1992 and 1998), and several others. Some related results are also discussed.